Suppose X has moment generating function M (t) = est Then E (X) = 1-2t

Q: Consider the function Compute f"(x). X = 66²⁰ - f(x) = -3t²- f"(x) = -4t+ 3 dt.

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Q: d Evaluate the following derivative: dx (1 + t² dt. Oxv1 +x4 + v1+x² Main Content None of these O…

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Q: (1) Let g(x) :| f(t) dt. What is g'(x)? a

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Q: Estimate f (2.1) if f (2) = 1 and f'(2) = 3.

A: Given: The linear approximation of f at a is one way of writing the equation of the tangent line at…

Q: Suppose that the p.d.f. of X is as given f(x) = 3(1-x)2 for 0<x<1 and 0 otherwise Find the pdf of…

A: If Y=g(X) is the transformation then the PDF of Y is given by; fY(y)=fX(g-1(y))ddyg-1(y)

Q: At which point is g(t) discontinuous?  g(t) = t^2+2, if t ≠ 1 -2, if t = 1

A: gt=t2+2,  if t≠1-2    ,  if t=1 The given function is continuous for all t≠1, because it is a…

Q: Estimate g(1.2) − g(1) if g'(1) = 4.

A: Given: g'(1)=4 Now, Using the Linear approximation formula:

Q: a) Differentiate the function Q(p) = -2√/p³ (e-P-PB). b) Hence or otherwise, determine Q'(1).

A: The given function .The aim is to find the derivative function  and find the value of .

Q: Consider the function h(z), for which h(4) = -12 and h'(4) = -7. %3D h(z) Find f'(4) for the…

A: To Determine: find f'4 Given: consider the function h(x) for which h4=-12 and h'4=-7 also…

Q: find the fallowing Js(x)

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Q: Find a point c satisfying the conclusion of the MVT for the function y(x) = 4x/3 on the interval [0,…

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Q: Let X ~ T(a, B). If E(X) = aß and E(X²) = aß² + a² ß². If â = X, find the method of B moments…

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Q: If f(x) = (3x – 2)(2x + 3), then a. f(– 2) b. f'( – 2) = c. f''(– 2) d. The values of x for which…

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Q: Let f(x) = In(x² – 14x + 52) f'(x) =

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Q: et f(z) = | t'dt. Evaluate the following.

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Q: ind the general solution of the given system of equations. 1 1 4 x' =| 1 4 1 x 4 1 1

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Q: Given f(x)=4x3, 0<=x<=1 Find moment generating function of X

A: The moment generating function of any function, f(x) is calculated asMXt=∫-∞∞e-txfxdx

Q: Let F(x) = [ (3t2-3)dt then F"(1) is equal to:

A: The Fundamental Theorem of Calculus : If f is a function that is continuous on an open interval I,…

Q: Find y as a function of t if 1296y" + 72y' + y = 0, y(0) = 4, y (0) = 7. y =

A: The given equation is second order homogeneous ODE has the form of ay’’ + by’ + cy = 0   The nature…