Question 4 (7 points)
Find the slope of the line tangent to the curve given parametrically by
x=2e6t, y=(t−4)2
at the point (x,y)=(2,16).
Your score will be based entirely on the work you submit - no need to fill the box below.
Use Newton's method to estimate the two zeros of the following function. Start with x0=0 for the
x−x2+9 If x0=0, then x2=−4.73684.
(Do not round until the final answer. Then round to five decimal places as needed.) If x0=4, then x2=3.57218.
(Do not round until the final answer. Then round to five decimal places as needed.)
Find X2 (the probability distribution of the system after two observations) for the distribution vector X0 and the transition matrix T. X0=⎣⎡0.250.600.15⎦⎤, T=⎣⎡0.10.80.10.10.70.20.20.40.4⎦⎤ X2=⎣⎡0.000.000.00⎦⎤
Solve the system by the addition method.
{x2−3y2=−114x2+y2=8 The solution set is □ \}.
(Simplify your answer. Type an ordered pair. Use a comma to separate answers as needed.)
Solve the system by the addition method.
{x2−4y2=−322x2+y2=17
The solution set is {}.
(Simplify your answer. Type an ordered pair. Use a comma to separate answers as needed.)
Question
What is the y-intercept of the polynomial f(x) defined below? Write the y-value only. f(x)=−6−x3−9x2+3x Answer
Attempt 1 out of 3
Submit Answer
Explain why the following problem will have an irrational answer.
4.125+3 The sum is a fraction.
The sum is a repeating decimal.
The sum is a non-repeating non-terminating decimal.
Solve the system by the method of your choice. x2+2y2=729x+y=27 Select the correct choice below and, if necessary, fill in the answer box to complete your choice. A. The solution set is {}.
(Type an ordered pair, using integers or simplified fractions for the coordinates. Use a comma to separate answers as needed.) B. There is no solution.
Explain why the following problem will have an irrational answer.
4.125+3 The sum is a fraction.
The sum is a repeating decimal.
The sum is a non-repeating
non-terminating decimal.
Which transformations are applied to g(x) to produce the function f(x)?
Complete the table below to show which transformation is used in the function. f(x)=−g(x)f(x)=g(x)−7f(x)=0.5g(x)
Translation down
Reflection
Compression
aı and irrationaı Answers Explain why the following problem will have an irrational answer.
5×7.14 The product is a fraction.
The product is a repeating decimal.
The product is a non-repeating non-terminating decimal.
4∗ Given the parametric equations x(t)=1+2sint and y(t)=ln(1+cost) for t on (0,2π)
(Put Tstep=0.05, Xmin=−2, Xmax=4, Ymin=−4, Ymax=2) a) state the range of x and the range of y.
x∈[1,3]y∈[0,0.7] b) The curve's asymptote actually intersects the curve at a point P. What are the (x,y) coordinates of P?
1+2sint=ln(1+cost) c) Show that the derivative dxdy can be represented by sin2tcost−1y′=1+costsint d) Show algebraically limt→0dxdy=0limy′=1+cost−sint=1+(cos(0))−sin(0)=20=0 e) Set up the integral that described the area under the curve in the first and second quadrant
Given the equation y=2sin(34πx−316π)+8 The amplitude is: The period is: The horizontal shift is: ______ units to the Select an answer The midline is: y=
If f(x)=x3−9, show that f−1(x)=3x+9. Select the correct choice below and fill in the answer box(es) within your choice. A. The inverse is f−1(x)=3x+9 because (f−1∘f)(x)= and (f∘f−1)(x)=. B. The inverse is f−1(x)=3x+9 because f(x)1=. C. The inverse is not f−1(x)=3x+9.
Decimals, Proportions, Percents
Converting a decimal to a mixed number and an improper fraction in...
Write 2.068 as a mixed number and as an improper fraction.
Write your answers in simplest form.
mixed number:
improper fraction:
Du hast die Funktion f(x)=−0,5x2+5,5. Du musst zeigen, dass der Punkt A(2|3,5) auf der Parabel f liegt. Dann begründen, dass deshalb auch B(-2|3,5) auf der Parabel f liegt. Dann den Umfang vom Rechteck ABCD berechnen und noch so ein Rechteck mit A2(1|5) zeichnen. Dann sollst du begründen, dass man mit 2*2x+2(-0,5x² +5,5) jedes Rechteck unter der Parabel f berechnen kann, wobei x die xKoordinate vom Punkt A ist. Dann durch Termumformung zeigen, dass 2∗2x+2(−0,5x2+5,5)=−x2+4x+11 ist. Und noch berechnen für welches x−x2+4x+11=14,75 ist und erklären was das im Kontext bedeutet. Zuletzt noch den Scheitelpunkt u(x)=−x2+4x+11 berechnen und erklären was
I={x∈R/x≤21}, J={x∈R/∣x∣<1} et K=]−1;2] 1) Ecrire I et J sous forme d'intervalles
2) Déterminer I∩K et J∪K
3) Soit a∈I∩K
a) Encadrer a et montrer que : 41≤2a+31<1
b) développer puis réduire (2a+3)2
Solve.
0.13x+0.7(x−2)=0.01(3x−3) Select the correct choice below and, if necessary, fill in the answer box t complete your choice.
A. x=□ (Type an integer or a simplified fraction.)
B. The solution is all real numbers.
C. There is no solution.
For the polynomial function f(x)=x3−2x2−5x+6, we have f(0)=6, f(2)=−4, f(3)=0, f(−1)=8, f(1)=0. Rewrite f(x) as a product of linear factors. List the values in order from smallest to largest.
Simplify each radical expression as much as possible.
Assume that the variables represent any real numbers. Use the absolute value button only when necessary.
(a) 9x9=□
(b) 4(2−5z)4=□
29. Let W=⎩⎨⎧⎣⎡a−3c+e2b+c−d2a+e⎦⎤:a,b,c,d,e∈R⎭⎬⎫.
(a) Show that W is a subspace of R3.
(b) Find a basis for W.
(c) Find an orthonormal basis for W