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Q: 1. y = 4 cos (x) Amplitude Period Vertical Shift Horizontal Shift

A: We have,   y = 4 cos(x)

Q: 1. Calculate a point estimate for the true population average unemployment duration.

A:

Q: Muscular dystrophy is a genetic disease caused by a mutation on the X chromosome. During…

A: We have to find the probability that a child will develop the disease if mutation arises…

Q: Let Z be the set of integers. Consider R = {(x, y) e Z × Z: 7 divides x-y}C Z × Z. Show that R is an…

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Q: There are 51 software students taking MATH 211. Let p1, P2,..., Ps1 be their final cam scores.…

A: Given that p1, p2, p3,..., p51 are the final exam scores of 51 software students who are taking MATH…

Q: Consider the optimization problem min x1-4x2 +x3 x1+2x2 +2x3 =-2, x + x3+x}< 1. (P) s.t. (i) Given a…

A: Given optimization problem is  min x1-4x2+x3 Subject to  x1+2x2+2x3=-2x12+x22+x32≤1 The optimization…

Q: Please show the full steps.

A:

Q: 19) Write the complex number in polar form. -12 – 7j

A: Given the complex number, z=-12-7i The objective is to write the complex number in polar form.

Q: Find the average value of f(x, y) = V4-x - y on its domain. Set up all necessary integrals in polar…

A: First, we will find the domain of the given function. Note that for the function to be defined, we…

Q: - 3x³)dy – (2y³ – x²y)dx -

A:

Q: The figure below shows a cylinder with two hallow congruent cones removed. If it is 20 inches tall,…

A: To find the volume and surface area of the figure remained Height=20 inches and diameter=14 inches

Q: ¹1, ¹2,..., In 1 f(y10)=30+ a -e-y/(0+a), y> 0,0> -1 0, elsewhere. Find the method of moments…

A:

Q: If f(x) is optimal at x = x*, show that the maximum of first even derivative of f(x) [i.e. f"(x)] at…

A: In mathematical optimization, when a function  is optimal at , the second derivative at that point…

Q: Suppose di ,de,..do ore distinct real numbecs det Prove ė lineerle fade pendent ere vectors in…

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Q: Find ell eigen eigen elues eipeo vect ors of T(x, x2 ** )=(Xxy xXg --- ) ... ..-

A: See the attachment

Q: y =(3+x)=¹/2, a = 1 Find the Linearization at a = a. L(x)=

A: To find the linearization of given function.

Q: Evaluate the integral ||| y sin x dz dy dx, where E ={(x, {(x,y,2)|0<x< xs4,0<y<1,0<zs V1- y² E You…

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Q: Show that if X gamma(r, A) and Y ~ gamma(s, ) independent, are then X + Y is gamma(r + s, ).

A: X~Gammar,λ fx=λrΓre-λxxr-1,     x&gt;0, r&gt;0, λ&gt;0 Y~Gammas,λ fy=λsΓse-λyys-1,     y&gt;0,…

Q: Q4. Twenty students were asked their shoe sizes. The results are given below. 8, 6 7. 6. 5, 41 71,…

A: Hello, since your question has multiple sub-parts, we will solve the first three sub-parts for you.…

Q: Plot at least three points, and then draw a line through the 10 points. If math is correct, they…

A: We have to plot three points in the given question.

Q: Evaluate || dA, where D is the region bounded by x=, 16-y and the y-axis. Express the e integral in…

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Q: F(x) = Se* - e*-1 at x = 1 Determine the equation of a line tangent to the curve at x =1

A: Given f(x)=5ex-ex-1  We know: ddx(xn)=nxn-1ddx(ex)=ex

Q: Let f : R → R be a function that is discontinuous at x € R. Show that there exists n > 0 such that…

A: We use the fact that f is discontinuus at x

Q: Be sure to show your work for the following questions. (a) Find the range of y = 2x2 + 6x – 4; (b)…

A: (a) To find: range of y=2x2+6x-4. (b) To find: the formula of a quadratic polynomial that passes…