Analyze

Problem 9601

Encuentra la temperatura máxima de la función T(x)=x2+10x2T(x) = -x^{2} + 10x - 2 para el cultivo de bacterias.

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Problem 9602

Calculate students per teacher for West (438 students, 22 teachers) and East (697 students, 27 teachers). Discuss proportionality.

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Problem 9603

Identify and fix the mistake in this equation: 6(2y+6)=4(9+3y)6(2y+6)=4(9+3y) leading to 0=00=0. What is the correct conclusion?

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Problem 9604

Is Jaime's calculation of 4.40.33=1.14.4 - 0.33 = 1.1 reasonable? Explain your reasoning.

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Problem 9605

Order the numbers from smallest to largest: 32|-32|, 2222, 16-16, 21-|21|, 10|-10|.

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Problem 9606

For a prime number w>2w > 2, when is w2zw^{2} z a negative even integer for zz in which set? A. Negative integers B. Positive odd integers C. Positive even integers D. Negative odd integers E. Negative even integers

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Problem 9607

Identify the false statement:
1. All integers are rational numbers
2. Some rational numbers are whole numbers
3. All whole numbers are natural numbers
4. All irrational numbers are real numbers

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Problem 9608

Find the number of real solutions for the equations: y=2x+8y=-2x+8 and y=x2+3x4y=x^2+3x-4. Options: A. 0 B. 1 C. 2 D. 3 E. Infinitely many.

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Problem 9609

Find the area of a triangle with base 4ft4 \mathrm{ft} and height 3ft3 \mathrm{ft} using A=12bhA = \frac{1}{2} b h. What if height doubles?

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Problem 9610

Identify a rational number between 7 and 8 from these options: 7.837 . \overline{83}, 52\sqrt{52}, neither A and C, both A and C.

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Problem 9611

Compare the numbers using \langle,,or=\rangle , or =: -7, -6, -3, 11, -4, -12.

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Problem 9612

Which set has no irrational numbers? {5.15,π,30}\{-5.15, \pi, 30\}, {92,100,5.123}\left\{\frac{9}{2}, \sqrt{100}, 5.123\right\}, or {80,100,6.56}\{\sqrt{80}, 100, 6.56\}?

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Problem 9613

Write a scientific notation number greater than 500 and less than 5.000. Who did it right? Justice: 5.25×1035.25 \times 10^{3}, Blaire: 6.1×1036.1 \times 10^{3}, Denzet: 5.78×1025.78 \times 10^{2}, Piper: 3.5×103.5 \times 10.

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Problem 9614

Which expression equals 22+(32)22 + (-32)? 22+(22)+(10)22 + (-22) + (-10), 22+22+(10)22 + 22 + (-10), 22+(22)+1022 + (-22) + 10, or 22+0+3222 + 0 + 32?

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Problem 9615

Find the percent of the sum of the two least box tops collected compared to the two most: Rooms 100, 159, 206, 215.

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Problem 9616

Find two numbers to round 518 to the nearest 10 and show where 518 is on the number line.

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Problem 9617

Round 518 to the nearest ten. Identify the two benchmark thousands for 1,742 and place them on a number line with 1,742.

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Problem 9618

Find the percent of the sum of the lowest two box tops collected compared to the highest two. Rooms: 600, 1000, 300, 800. Options: (A) 30%, (B) 50%, (C) 65%, (D) 70%, (E) 80%.

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Problem 9619

Given the car's velocity at times 080-8 seconds: 10,15,20,25,30,30,30,15,010,15,20,25,30,30,30,15,0.
1. Direction from 040-4 seconds?
2. Direction from 464-6 seconds?
3. Direction from 686-8 seconds?
4. Acceleration from 464-6 seconds?

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Problem 9620

Analyze the scatter plot of calories vs. fat in chicken sandwiches. What association is indicated by increasing grams and calories?

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Problem 9621

The concert venue's attendance drops with snow. Analyze data, find the regression line, and predict attendance at 9.1 inches.
(a) Is a linear model suitable? Yes/No (b) Find slope and yy-intercept: Attendance == (Inches of Snow) + (c) Predict attendance with 9.1 inches of snow (nearest integer).

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Problem 9622

Given a car's velocity vs. time graph:
Time (s): 0, 1, 2, 3, 4, 5, 6, 7, 8 Velocity (m/s): 0, -10, -20, -30, -40, -40, -40, -20, 0
1. Direction from 040-4 seconds?
2. Direction from 686-8 seconds?
3. Acceleration from 686-8 seconds?
4. Displacement from 464-6 seconds?
5. Describe a scenario for this car's motion.

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Problem 9623

Find the limit as xx approaches 1 for the expression 23x2 - 3x.

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Problem 9624

Evaluate the limit: 107limx1(23x)=1107 \lim _{x \rightarrow 1}(2-3 x)=-1

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Problem 9625

A study of 27,000 individuals tested if a herbal supplement reduces asthma attacks. What aspects relate to design and description?

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Problem 9626

Determine the transformations to show QRSTUV\triangle QRS \cong \triangle TUV. Choose all correct options: A) Reflect across xx, then yy, then xx. B) Reflect across yy. C) Rotate 9090^{\circ} clockwise, then reflect across yy. D) Rotate 180180^{\circ}, then reflect across xx. E) Translate 44 units left.

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Problem 9627

What type of statistics is it when 90%90 \% of taste testers prefer the new coffee brand? Options: Investigation, Description, Design, Inference, None.

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Problem 9628

A golfer has data on clubhead speeds (mph) and distances (yards) for 20 games. What analysis should be done: correlation, averages, or something else?

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Problem 9629

A survey asked 857 people about their pets. Identify (a) the sample, (b) the population, and (c) the statistic. What is the sample? A. The public in the country. B. People who didn't respond. C. The 857 respondents. D. The 9%9\% with 1 pet.

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Problem 9630

A survey asked 857 people about their pets. Identify the sample, population, and statistic: (a) sample? (b) population? (c) statistic?

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Problem 9631

A survey of 857 people asked about pet ownership. Identify (a) sample, (b) population, and (c) statistic (9%9\% with 1 pet).

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Problem 9632

Identify the subject, sample, and population for the government study on model A midsized cars. What is the subject? A. new model A cars B. midsized cars C. new midsized cars D. model A cars

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Problem 9633

Identify the subject, sample, and population for a study on model A midsized cars' emissions and mileage.
(a) Subject: A. new model A midsized cars (b) Sample: D. few new model A midsized cars chosen for study

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Problem 9634

Figure BB is in Quadrant IV. After reflecting, rotating, and translating it, determine if these statements are true or false:
a. BB''' is in Quadrant II. b. BB is in Quadrant III. c. The xx-coordinates of BB''' are all negative. d. The yy-coordinates of BB'' are all positive.
Initial position and shape of BB are needed.

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Problem 9635

Compare 8.76×1068.76 \times 10^{6} and 8.76×1028.76 \times 10^{2}. Complete: 3.76×1063.76 \times 10^{6} is Choose... times Choose. than 8.76×1028.76 \times 10^{2}.

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Problem 9636

Find which reflection of the segment from (4,6)(-4,-6) to (6,4)(-6,4) gives endpoints (4,6)(4,-6) and (6,4)(6,4).

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Problem 9637

Identify (a) subject, (b) sample, and (c) population for model A midsized cars used in a pollution study.

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Problem 9638

A historian finds marriage records from 1800-1820. Answer these: a) Descriptive summary? b) Inference? c) Population? d) Is 26.1 a statistic or parameter?

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Problem 9639

Are the populations the same if two different samples of 10 students support single sex classrooms? A. No, B. Yes, C. Yes, D. No.

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Problem 9640

Two students sample 10 each to find support for single sex classrooms. Answer parts a and b about their populations.

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Problem 9641

A historian finds marriage records (1800-1820) showing an average age of 26.1 years. Answer the following: a. What is the descriptive summary? b. What is the inference about the population? c. What population does this refer to? d. Is 26.1 a statistic or a parameter?

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Problem 9642

Convert the number 0.00037 into scientific notation.

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Problem 9643

What is the standard form of the number 6.14×1096.14 \times 10^{-9}? Drag the answer into the box.

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Problem 9644

Is the 31%31\% response from the poll a statistic or a parameter regarding voter opinions on immigration?

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Problem 9645

Find the average pages read per day from the end of day 2 to day 6, given total pages: 45,77,116,166,22745, 77, 116, 166, 227.

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Problem 9646

Analyze toy sales data: identify fast-selling toys and those with excess stock. Clarify 'H' for ratios of Fidget Toys, Block Sets, and Dolls.

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Problem 9647

Calculate the toy sales ratio: Ratio=Number SoldNumber Remaining \text{Ratio} = \frac{\text{Number Sold}}{\text{Number Remaining}} for each toy type.

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Problem 9648

Find the number of protons, electrons, and neutrons in bromine-80. Protons = 35, Neutrons = 80 - 35 = 45.

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Problem 9649

What element is produced when "Sr undergoes β\beta decay?

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Problem 9650

Find f(ln3)f(\ln 3) for the function f(x)=2e2xf(x)=2 e^{2 x}.

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Problem 9651

Determine the missing proportions and percentages for Verbal SAT score intervals given the frequencies:
700799700-799: 17, 600699600-699: 22, 500599500-599: 15, 400499400-499: 4, 300399300-399: 2.

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Problem 9652

Determine the number of significant figures in the number 2.005×1092.005 \times 10^{-9}.

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Problem 9653

Determine the number of significant figures in the value 700.

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Problem 9654

Jill wants to show how TV hours relate to quiz scores. Which graph should she use: stem-and-leaf, histogram, circle, or scatter plot?

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Problem 9655

Count the significant figures in the number 0.0700200.070020.

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Problem 9656

Count the significant figures in the number 1.001001.00100.

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Problem 9657

Count the significant figures in 9020.0.

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Problem 9658

Compare your service hours after 12 weeks (y=35y = 35) with your friend's after 9 weeks (y=26y = 26). Who has more?

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Problem 9659

Compare your and your friend's service hours after several weeks. Who has more hours initially? When do they equal?

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Problem 9660

Identify which of the following expressions equals 1 and which equals -1:
x+33+x3xx3 \frac{x+3}{3+x} \quad \frac{3-x}{x-3}

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Problem 9661

Identify the graph of the constant function f(x)=3f(x)=3 and its parent function.

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Problem 9662

Check if each value of uu satisfies the equation 28u=382 - 8u = -38: u=3,5,2,6u = -3, 5, 2, -6.

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Problem 9663

Find the reflection rule for triangle C(3,8),D(5,12),E(4,6)C(3,8), D(5,12), E(4,6) to C(8,3),D(12,5),E(6,4)C'(-8,-3), D'(-12,5), E'(-6,-4).

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Problem 9664

Find the equation equivalent to the average velocity formula v=d2d1t2t1v=\frac{d_{2}-d_{1}}{t_{2}-t_{1}} from options A-D.

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Problem 9665

Find missing relative frequencies (\checkmark) and values of τ\tau in a frequency distribution with total frequency 25.

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Problem 9666

Is the relative frequency for the range "30 to 39" equal to 0.24 based on the given data?

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Problem 9667

A country has 45 states. If the average area is 180,126 km², is this a statistic or a parameter? Choose A, B, C, or D.

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Problem 9668

Is the salary data of each teacher in a school a population or a sample? Choose A, B, C, or D.

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Problem 9669

True or false: A company randomly selects 100 out of 5000 employees to gauge interest in on-site daycare. Is this a random sample?

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Problem 9670

|The following bivariate data set contains an outlier. \begin{tabular}{|r|r|} \hline \multicolumn{1}{|c|}{xx} & \multicolumn{1}{c|}{yy} \\ \hline 17.7 & 345.8 \\ \hline 23.1 & -180.9 \\ \hline 31 & -615.6 \\ \hline-7.7 & 164.1 \\ \hline 47.6 & 304.4 \\ \hline 11.2 & 106 \\ \hline 22.1 & -362.4 \\ \hline 1.7 & -100.7 \\ \hline 32.9 & -296.7 \\ \hline 52.9 & 307.9 \\ \hline 37.8 & -902.3 \\ \hline 22.9 & -530.8 \\ \hline 48.6 & 420 \\ \hline 48.7 & -75.1 \\ \hline 234.7 & 4386.9 \\ \hline \end{tabular}
What is the correlation coefficient with the outlier? rw=r_{w}= \square [Round your answer to three decimal places.]
What is the correlation coefficient without the outlier? rwo=r_{w o}= \square [Round your answer to three decimal plades.]
Would inclusion of the outlier change the evidence for or against a linear correlation? Yes. Including the outlier changes the evidence regarding a linear correlation. No. Including the outlier does not change the evidence regarding a linear correlation.

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Problem 9671

Determine the amplitude of the sinusoidal function y=0.75cosπ2x0.5y=0.75 \cos \frac{\pi}{2} x-0.5. a) 0.5 b) 34\frac{3}{4} c) π2\frac{\pi}{2} d) 12\frac{1}{2}

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Problem 9672

Describe the end behavior of the graphs of the function. f(x)=4(2)x2f(x)=-4(2)^{x}-2
As x,f(x)x \rightarrow-\infty, f(x) \rightarrow \square As x,f(x)x \rightarrow \infty, f(x) \rightarrow \square

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Problem 9673

Graph the parabola. Give the vertex, axis of symmetry, domain, and range. f(x)=2(x+5)2+3f(x)=-2(x+5)^{2}+3

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Problem 9674

point(S) possible
A certain drug is used to treat asthma. In a clinical trial of the drug, 25 of 297 treated subjects experienced headaches (based on data from the manufacturer). The accompanying calculator display shows results from a test of the claim that less than 10%10 \% of treated subjects experienced headaches. Use the normal distribution as an approximation to the binomial distribution and assume a 0.05 significance level to complete parts (a) through (e) below.  1-Prop2Test  prop <0.1z=0.909072203p=0.1816560071p^=0.0841750842n=297\begin{array}{|c|} \hline \text { 1-Prop2Test } \\ \text { prop }<0.1 \\ z=-0.909072203 \\ p=0.1816560071 \\ \hat{p}=0.0841750842 \\ n=297 \end{array} a. Is the test two-tailed, left-tailed, or right-tailed? Left-tailed test Right tailed test Two-tailed test b. What is the test statistic? z=\mathrm{z}= \square (Round to two decimal places as needed.)

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Problem 9675

Given the function y=x3y=x^{3}, what are the parameters of the transformed function y=15(x+2)3+9y=\frac{1}{5}(x+2)^{3}+9 and what is the effect of each parameter on the graph of the original function? a=15a=\frac{1}{5}, vertical stretch about the xx-axis by a factor of 15\frac{1}{5} h=2h=-2, horizontal translation 2 units left k=9k=9, vertical translation 9 units up a=5a=5, vertical stretch about the xx-axis by a factor of 5 h=2h=-2, horizontal translation 2 units left k=9k=9, vertical translation 9 units right a=5a=5, vertical stretch about the xx-axis by a factor of 5 h=2h=-2, horizontal translation 2 units right k=9k=9, vertical translation 9 units down a=15a=\frac{1}{5}, vertical stretch about the xx-axis by a factor of 15\frac{1}{5} h=9h=9, horizontal translation 9 units left k=2k=-2, vertical translation 2 units down

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Problem 9676

The numbers of students in the 7 schools in a district are given below. (Note that these are already ordered from least to greatest.) 193,222,264,310,339,363,381193,222,264,310,339,363,381
Send data to calculator
Suppose that the number 193 from this list changes to 361. Answer the following. (a) What happens to the median? It decreases by \square It increases by \square
(b) What happens to the mean?
It stays the same.

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Problem 9677

9:53PM Wed Nov 27 34\% webassign.net
Application Exercise: Interests, attitudes, and beliefs are important in interpersonal attraction. To investigate, a counseling psychologist develops a questionnaire that measures progressive attitudes, and has married couples take the questionnaire. The psychologist is certain that progressive attitudes are related between couples. The couple's attitude data are below. What can be concluded with an α\alpha of 0.05 ? \begin{tabular}{|c|c|} \hline husband & wife \\ \hline 6 & 12 \\ 10 & 7 \\ 14 & 3 \\ 12 & 5 \\ 9 & 9 \\ 8 & 11 \\ 9 & 6 \\ 10 & 4 \\ 11 & 2 \\ 8 & 17 \\ 7 & 13 \\ \hline \end{tabular} a) Select and compute the appropriate statistic.
Correlation \square b) Obtain/compute the appropriate values to make a decision about H0H_{0}.
Critical Value \square Test Statistic == \square Decision: --Sel Enter a number. c) Compute the corresponding effect size(s) and indicate magnitude(s).
If not appropriate, input and/or select "na" below. Effect Size = \square ; Magnitude: ---Select--- d) Make an interpretation based on the results. There is a significant positive relationship between a husband and wife progressive attitudes. There is a significant negative relationship between a husband and wife progressive attitudes. There is no significant relationshin between a husband and wife proaressive attitudes. Submit Answer Viewing Saved Work Revert to Last Response. The I'm

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Problem 9678

Without graphing, determine whether system has one solution, no solution, or an infinite number of solutions. {x+y=64x+4y=24\left\{\begin{array}{c} x+y=6 \\ 4 x+4 y=24 \end{array}\right.

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Problem 9679

RO ALEKS A ALEKS - Keyan a nurse manager at a local hospital, wanted to know more about the hospital's full-time nurses. She polled 20 nurses at random who work full-time at the 5 of them are married. Elsa didn't know that the top hospital administrators had already surveyed all nurses who work full-time at the hospital. In that vey, it was found that the nurses take, on average, 7.2 sick days per year, that 59%59 \% of them would prefer a four-day work schedule, and that 72 of them are irried. (a) For Elsa's poll, identify the population and the sample.
Population: (Choose one) \square Sample: (Choose one) \square (b) Choose whether each number described below is a parameter or a statistic for Elsa's poll. \begin{tabular}{|l|l|l|l|} \hline Number & Parameter & Statistic \\ \hline The 65%65 \% of the randomly chosen nurses who prefer a four-day work schedule & & \\ \hline The average of 7.2 sick days per year taken among all the full-time nurses at the hospital & & \\ \hline The 72 nurses who are married among all the full-time nurses at the hospital & & \\ \hline \end{tabular}

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Problem 9680

Unit 4: Rational Expressions and Equations Assignment Booklet 4
10. Consider each scenario: a. A high-speed passenger train in Europe completes an 800 km trip in 3 hours. The train travels the first 600 km at an average speed that was 100 km/h100 \mathrm{~km} / \mathrm{h} faster than the last 200 km of the trip. If xx represents the average speed of the train on the second part of the trip, then an equation to represent this situation is: 600x+100+200x=3\frac{600}{x+100}+\frac{200}{x}=3

Identify all restrictions on the variable xx in this context. (2 marks)

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Problem 9681

Here are three histograms. (a) Which histogram is best described as bimodal?
Histogram A Histogram B (b) Which histogram is the closest to being symmetric? Histogram A Histogram B \square (c) Which histogram Histogram C
Histogram A Histogram B Histogram C (d) Which histogram is skewed to the left the most? Histogram A Histogram B Explanation Histogram C

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Problem 9682

Find the horizontal asymptote of f(x)=4x+4x35x3+2x2+3f(x)=\frac{-4 x+4 x^{3}-5}{x^{3}+2 x^{2}+3} y=y=

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Problem 9683

Most ionic \square Most covalent Anumer Bant CaF\mathrm{Ca}-\mathrm{F} ClF\mathrm{Cl}-\mathrm{F} Br-F KF\mathrm{K}-\mathrm{F} FF\mathrm{F}-\mathrm{F}

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Problem 9684

y=x2+4x12y=x^{2}+4 x-12

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Problem 9685

Figure A and Figure B represent examples of different types of chemical bonding. Identify the descriptions and properties That best represent each figure. All of the descriptions and properties máy not be used.
Figure A \square
Answer Bank polar covalent unequal sharing of electrons equal sharing of electrons \square Figure B - \begin{tabular}{|llll|l|} \hline & \multicolumn{1}{c|}{ Answer Bank } \\ \hline polar covalent & unequal sharing of electrons & equal sharing of electrons & NH\mathrm{N}-\mathrm{H} bond \\ \hline NaCl\mathrm{Na}-\mathrm{Cl} bond & ClCl\mathrm{Cl}-\mathrm{Cl} bond & ionic & nonpolar covalent & transfer of electrons \\ \hline \end{tabular}

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Problem 9686

f(x)=x2+412f(x)=x^{2}+4-12
Entrada...

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Problem 9687

Answer all of the following questions. (1) What is the domain of f(x)=3x+4f(x)=\frac{3}{x+4} ? Explain how you reached your conclusion. (2) Consider the graph of f(x)=3x+4f(x)=\frac{3}{x+4} shown below. What do you think is the range of f(x)f(x) ?

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Problem 9688

Find the intervals on which f(x)f(x) is increasing, the intervals on which f(x)f(x) is decreasing, and the local extrema. f(x)=x3+2x+1f(x)=x^{3}+2 x+1
Find f(x)f^{\prime}(x). f(x)=x3+2x+1f(x)=\begin{array}{l} f(x)=x^{3}+2 x+1 \\ f^{\prime}(x)=\square \end{array}

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Problem 9689

7. Why do radian measurements not have a unit indicated? [2 marks]

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Problem 9690

12.1 HW Question 5, 10.1.9 HW Score: 6.9%,26.9 \%, 2 of 29 points Part 2 of 6 Points: 0 of 1 Save
Refer to the accompanying scatterplot. a. Examine the pattern of all 10 points and subjectively determine whether there appears to be a strong correlation between xx and yy. b\mathbf{b}. Find the value of the correlation coefficient rr and determine whether there is a linear correlation. c\mathbf{c}. Remove the point with coordinates 1010- (10,2)(10,2) and find the correlation coefficient r and determine whether there is a linear correlation. d . What do you conclude about the possible effect from a single pair of values? Click here to view a table of critical values for the correlation coefficient. a. Do the data points appear to have a strong linear correlation? No Yes b. What is the value of the correlation coefficient for all 10 data points? r=\mathrm{r}= \square (Simplify your answer. Round to three decimal places as needed.)
Table of Critical Values \square \begin{tabular}{|c|c|c|} \hline n & α=.05\alpha=.05 & α=.01\alpha=.01 \\ \hline 4 & . 950 & . 990 \\ \hline 5 & . 878 & . 959 \\ \hline 6 & . 811 & . 917 \\ \hline 7 & . 754 & .875 \\ \hline 8 & . 707 & . 834 \\ \hline 9 & . 666 & . 798 \\ \hline 10 & . 632 & . 765 \\ \hline 11 & . 602 & . 735 \\ \hline 12 & . 576 & . 708 \\ \hline 13 & . 553 & . 684 \\ \hline 14 & . 532 & . 661 \\ \hline 15 & . 514 & . 641 \\ \hline 16 & . 497 & . 623 \\ \hline 17 & . 482 & . 606 \\ \hline 18 & - . 468 & . 590 \\ \hline 19 & . 456 & .575 \\ \hline 20 & . 444 & . 561 \\ \hline 25 & . 396 & .505 \\ \hline 30 & . 361 & . 463 \\ \hline 35 & . 335 & 430 \\ \hline 40 & . 312 & . 402 \\ \hline 15 & 304 & 270 \\ \hline \end{tabular} Get more help -

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Problem 9691

Determine all values of aa for which the following set of vectors is dependent or independent. You can select 'always', 'never', ' a=a= ', or ' aa \neq ', then specify a value or comma-separated list of values. {[131a],[1301],[2612]}\left\{\left[\begin{array}{c} 1 \\ 3 \\ -1 \\ a \end{array}\right],\left[\begin{array}{l} 1 \\ 3 \\ 0 \\ 1 \end{array}\right],\left[\begin{array}{l} 2 \\ 6 \\ 1 \\ 2 \end{array}\right]\right\}
Dependent: Always
Independent: Always SUBMIT AND MARK SAVE AND CLOS

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Problem 9692

Question 4 [10 points] Determine all values of aa for which the following set of vectors is dependent or independent. You can select 'always', 'never', ' a=a= ', or ' aa \neq ', then specify a value or comma-separated list of values. {[a123],[2615],[48102]}\left\{\left[\begin{array}{c} a \\ 1 \\ -2 \\ -3 \end{array}\right],\left[\begin{array}{c} 2 \\ 6 \\ 1 \\ -5 \end{array}\right],\left[\begin{array}{c} 4 \\ -8 \\ -10 \\ -2 \end{array}\right]\right\}
Dependent: Always Independent: Always

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Problem 9693

Find the slope of the tangent line to the ellipse x225+y29=1\frac{x^{2}}{25}+\frac{y^{2}}{9}=1 at the point (x,y)(x, y). slope == \square
Are there any points where the slope is not defined? (Enter them as comma-separated ordered-pairs, e.g., (1,3), ( 2,5)-2,5). Enter none if there are no such points.) slope is undefined at \square

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Problem 9694

\begin{tabular}{|c|c|c|c|} \hline Q1 & \begin{tabular}{l} The curve of y2y+x=1\frac{y^{2}}{y+x}=1 is symmetric about: \\ A) Origin \\ B) xx-axis \end{tabular} & C) y-axis & D) Not symmetric \\ \hline Q2 & \begin{tabular}{l} limx+1+2x2x+2=\lim _{x \rightarrow+\infty} \frac{\sqrt{1+2 x^{2}}}{x+2}= \\ A) 2-\sqrt{2} \\ B) 2 \end{tabular} & C) 2\sqrt{2} & D) -2 \\ \hline Q3 & \begin{tabular}{l} The function f(x)=x2sin(x)f(x)=x^{2} \sin (x) is: \\ A) even \\ B) odd \end{tabular} & C) even and odd & D) neither \\ \hline Q4 & \begin{tabular}{l} If f(x)=4+xx1f(x)=4+\frac{x}{x-1}, then f1(x)=f^{-1}(x)= \\ A) 2x3x\frac{2-x}{3-x} \\ B) 3x4x\frac{3-x}{4-x} \end{tabular} & C) 4x5x\frac{4-x}{5-x} & D) 5x6x\frac{5-x}{6-x} \\ \hline Q5 & \begin{tabular}{l} For all real numbers xx, a function f(x)f(x) satis \\ A) 5 \\ B) -5 \end{tabular} & \begin{tabular}{l} f(x)+1x|f(x)+1| \leq \mid x \\ C) -1 \end{tabular} & \begin{tabular}{l} 5, then limx5f(x)\lim _{x \rightarrow-5} f(x) \\ D) 1 \end{tabular} \\ \hline \end{tabular}

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Problem 9695

6. Locate all turning points, classifying them, on the curve y=6x48x324x24y=6 x^{4}-8 x^{3}-24 x^{2}-4

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Problem 9696

Dr. Abdullah Shukri
Let the orthogonal matrix QQ be: Q=(0110)Q=\left(\begin{array}{cc} 0 & -1 \\ 1 & 0 \end{array}\right) p 1: Verify Orthogonality 2: Find the eigenvalues p 3: Find the eigenvectors

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Problem 9697

16) If f(x)=2(x1)3f(x)=2-(x-1)^{3}, then the graph that represents the function ff is (a) (b) (c) (d) 17) The rule of the function represented in the opposite figure is f(x)=f(x)= \qquad (a) (x2)2+1(x-2)^{2}+1 (b) (x2)2+1-(x-2)^{2}+1 (c) (x1)2+2-(x-1)^{2}+2 (d) (x+1)2+2(-x+1)^{2}+2 18) The symmetric point of the function f:f(x)=x32f: f(x)=x^{3}-2 is \qquad (a) (0,2)(0,2) (b) (0,2)(0,-2) (c) (2,0)(2,0) (d) (2,0)(-2,0) 19) The vertex of the curve of the function ff where f(x)=(1+x)23f(x)=(1+x)^{2}-3 is \qquad (a) (1,3)(1,3) (b) (1,3)(1,-3) (c) (1,3)(-1,3) (d) (1,3)(-1,-3) 20) If y=f(x)y=f(x) is a real function, then its image by translation 3 units vertically upwards is g(x)=g(x)= \qquad (a) f(x3)f(x-3) (b) f(x+3)f(x+3) (c) f(x)+3f(x)+3 (d) (x)3(x)-3

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Problem 9698

13. Ein U-Boot beginnt eine Tauchfahrt in P(1002000)\mathrm{P}(100|200| 0) mit 11,1 Knoten in Richtung des Peilziels Z(50040080)Z(500|400|-80), bis es eine Tiefe von 80 m erreicht hat. (1 Knoten =1 Seemeile  Stunde 1,852 km h)\left(1 \text { Knoten }=1 \frac{\text { Seemeile }}{\text { Stunde }} \approx 1,852 \frac{\mathrm{~km}}{\mathrm{~h}}\right)
Anschließend geht es ohne Kurswechsel in eine horizontale Schleichfahrt von 11 Knoten ein. Könnte es zu einer Kollision mit der Tauchkugel T kommen, die zeitgleich vom Forschungsschiff S(7008000)S(700|800| 0) mit einer Geschwindigkeit von 0,5 m s0,5 \frac{\mathrm{~m}}{\mathrm{~s}} senkrecht sinkt?

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Problem 9699

```latex \textbf{Flüssigkeiten bei einem Produktionsprozess}
In einem Produktionsprozess werden Flüssigkeiten erhitzt und anschließend abgekühlt. Der Temperaturverlauf kann gezielt gesteuert werden, sodass er sich für den gesamten Erhitzungs- bzw. Abkühlungsvorgang für t0t \geq 0 durch eine der in R\mathbf{R} definierten Funktionen fkf_{k} mit fk(t)=23+20te110ktf_{k}(t)=23+20 \cdot t \cdot e^{-\frac{1}{10} \cdot k \cdot t}, wobei kk eine positive, reelle Zahl sein soll, beschreiben lässt. Dabei ist tt die seit Beginn des Vorgangs vergangene Zeit in Minuten und fk(t)f_{k}(t) die Temperatur in C{ }^{\circ} C.
\begin{enumerate} \item[a)] Die in Abbildung 1 dargestellten Graphen A,BA, B und CC gehören jeweils zu einem der Werte k=0,5;k=2k=0,5; k=2 und k=5k=5. Ordnen Sie jedem dieser Werte den zugehörigen Graphen zu. \item[b)] Begründen Sie, dass der in Abbildung 1 dargestellte Graph DD nicht zu einer der Funktionen fkf_{k} gehören kann. \item[c)] Zeigen Sie, dass gilt fk(t)=20e110kt(1110kt)f_{k}^{\prime}(t)=20 \cdot e^{-\frac{1}{10} \cdot k \cdot t} \cdot\left(1-\frac{1}{10} \cdot k \cdot t\right) \item[d)] Ermitteln Sie denjenigen Wert von kk, für den die Flüssigkeit im Modell eine Höchsttemperatur von 123C123^{\circ} \mathrm{C} erreicht. \item[e)] Ermitteln Sie die Koordinaten des Wendepunktes des Graphen von f10f_{10}. Interpretieren Sie anschließend die Bedeutung der x-Koordinate dieses Wendepunkts des Graphen von f10f_{10} im Sachzusammenhang. \item[f)] Der in der Abbildung 2 dargestellte Graph gibt für einen gesteuerten Temperaturverlauf die Änderungsrate der Temperatur in Abhängigkeit von der Zeit an, die seit Beginn des Vorgangs vergangen ist. Bestimmen Sie einen Näherungswert für die Änderung der Temperatur in den ersten vier Minuten nach Beginn des Vorganges und geben Sie an, ob die Temperatur zu- oder abnimmt. \item[g)] Skizzieren Sie für die ersten zwölf Minuten des in Abbildung 2 dargestellten Vorgangs den Graphen eines möglichen Temperaturverlaufs. \end{enumerate}
\textit{Abbildung 1}
\textit{Abbildung 2} ```

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Problem 9700

13. Ein U-Boot beginnt eine Tauchfahrt in P(1002000)\mathrm{P}(100|200| 0) mit 11,1 Knoten in Richtung des Peilziels Z(50040080)Z(500|400|-80), bis es eine Tiefe von 80 m erreicht hat. (1 Knoten =1 Seemeile  Stunde 1,852 km h)\left(1 \text { Knoten }=1 \frac{\text { Seemeile }}{\text { Stunde }} \approx 1,852 \frac{\mathrm{~km}}{\mathrm{~h}}\right)
Anschließend geht es ohne Kurswechsel in eine horizontale Schleichfahrt von 11 Knoten ein. Könnte es zu einer Kollision mit der Tauchkugel T kommen, die zeitgleich vom Forschungsschiff S(7008000)S(700|800| 0) mit einer Geschwindigkeit von 0,5 m s0,5 \frac{\mathrm{~m}}{\mathrm{~s}} senkrecht sinkt?

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