Question 2 of 10
Which two values of x are roots of the polynomial below? x2−11x+17 A. x=411+−109
B. x=3
C. x=411−−109
D. x=211+53
E. x=2.5
F. x=211−53
Homework: Final Exam Review
Question 28, Setup \& Solve-5.3.41
Part 1 of 7
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estion list Question 20 Question 21 Question 22 Question 23 Question 24 Question 25 Question 26 Question 27 For the function G(x)=−3+(x−2)24, (a) graph the rational function using transformations, (b) use the final graph to find the domain and range, and (c) use the final graph to list any vertical, horizontal, or oblique asymptotes.
(a) Which of the following transformations is required to graph the given function?
A. Vertically stretch the graph of y=x21 by a factor of 4 , shift it 2 units to the left, and 3 units down.
B. Vertically stretch the graph of y=x21 by a factor of 4 , shift it 2 units to the right, and 3 units down.
C. Vertically stretch the graph of y=x21 by a factor of 4 , shift it 3 units to the right, and 2 units down.
D. Vertically stretch the graph of y=x21 by a factor of 4 , shift it 2 units to the left, and 3 units up.
Example
Find the characteristic equation of
A=⎣⎡5000−22006−850−1011⎦⎤
The eigenvalues of a triangular matrix are the entries on its main diagonal.
Consider the following function.
s(x)=−2x−4−1 Step 2 of 2: Determine the domain and range of the original function. Express your answer in interval notation. Answer 2 Points
Question 19
of 42 Step 2 of 2
01:58:46 Consider the following equation:
x+1−2x=−2+x+31 Step 2 of 2: Solve the equation, if possible. If there is a solution, express your answer as either an integer or a simplified fraction. AnswerHow to enter your answer (opens in new window) 2 Points
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23. Suppose that cosθ=1/6 and that θ is a Quadrant IV angle. (a) Find the exact value of sinθ. Show work. (b) Find the exact value of sin(2θ). Show work.
Lesson 4.3 10. Select a strategy and determine the interval(s) for which each inequality is true.
a) (x+1)(x−2)(x+3)2<0
b) 5(x−4)(2x+3)≥52x+3
c) −2(x−1)(2x+5)(x−7)>0
d) x3+x2−21x+21≤3x2−2x+1
4. [-/2 Points]
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TANAPCALCBR10 5.1.014. Simplify the expressions. (Use only positive exponents in your answers.)
(a) (xr/s)s/r□
(b) (x−b/a)−a/b□ Need Help?
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Solve the following exponential equation. Express the solution set in terms of natural logarithms or common logarithms. Then, use a calculator to obtain a decimal approximation for the solution.
e1−8x=551 The solution set expressed in terms of logarithms is □β.
(Use a comma to separate answers as needed. Simplify your answer. Use integers or fractions for any numbers expression. Use In for natural logarithm and log for common logarithm.)
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What is a, f(x), and L given f(x) approaches L as x approaches a in the following limit? x→3lim(x2−8x−3)=−18 Provide your answer below: a=f(x)=L= FEEDBACK
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25) sin−122 Find the exact value of the expression, if possible. Do not use a calculator.
26) cos−1(cos34π) Use a sketch to find the exact value of the expression.
27) sec(tan−133)
2. [0/4 Points]
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SPRECALC7 11.1.002.
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PRACTICE ANOTHER The graph of the equation x2=4py is a parabola with focus F(x,y)=(□ ) and directrix y=□ focus F(x,y)=(□ ) and directrix y=□ .
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C(x)=4000+55x+0.1x2C(x)=xtotalC=x4000+55+0.1xa) instantaneous rate of change of C(x)C(x)′=x2−4000+0.1 b) level of production C′(x)=0x2−4000+0.1=04000=0.1x2x2=0.14000x=200 unit c)C′(x)=55+0.2xC′(200)=95C(200)=$95
log3(x+2)=4 Solve the equation. Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The solution set is {}.
(Type an integer or a simplified fraction.) B. There are infinitely many solutions. C. There is no solution.
Given the equation below, determine which type of conic section it represents, then write the equation in standard form. Your options are circle, hyperbola, ellipse, or parabola.
4547=y+644x−23x2
**Question**
Find the two one-sided limits as x→1 of the ceil function f(x)=⌈x⌉=⎩⎨⎧−10123⋮if −2<x≤−1if −1<x≤0if 0<x≤1if 1<x≤2if 2<x≤3 If a limit does not exist, enter ∅ as your answer. Provide your answer below: a. limx→1−f(x)=
b. limx→1+f(x)=
NYA Module 6: Problem 2
(1 point) The function f(x)=2x3−18x2+48x−11 has two critical values. The smaller one equals □ and the larger one equals □ Note: You can earn partial credit on this problem.
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1← Find the six trigonometric functions of the angle 3π by hand.
sin3π=□cos3π=□
(Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.)
tan3π=□□
(Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.) sec3π=□cot3π=□
(Simplify your answer, including any radicals. Use integers or fractions for any numbers in the expression.)
Knowledge Check
Question 9
For each ordered pair (x,y), determine whether it is a solution to the inequality 4x−6y≤−18.
Is it a solution?
(x,y) Yes No
(0,3)(8,5)(−9,−2)(−5,1)
Find the partial fraction decomposition of 12x2−23x+10−53x+54. To set it up first write in the form 3x−2A+4x−5B 12x2−23x+10−53x+54=+ Next Question
Part 2. Solve the following absolute value equations. Show all work and box your final answer. Remember to verify the solution types. 7. 2∣β+5∣=7 10. 31∣g+2∣−4=g+1
f(x)=−4x and g(x)=x−4 1 of 2: Find the formula for (f+g)(x) and simplify your answer. Then find the domain for (f+g)(x). Round your answer to two decimal places, if necessary. (f+g)(x)= Domain =
Given the two curves C1: x=2f(t), y=2g(t), a≤t≤b
and C2: x=4g(t), y=−4f(t), a≤t≤b.
If the length of C1 is 40 units, then the length of C2 is: Select one:
a. 15
b. Else
c. 80
d. 20
e. 40
f. 60
Consider the line 5x+2y=7
What is the slope of a line perpendicular to this line?
What is the slope of a line parallel to this line? Slope of a perpendicular line □ Tolope of a pat alicilime