Let X and X, independence r.v. have same moment generating function (-) where tsa, let Y=aX+bX, , then My (1) is 1

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A: Introduction: A real-valued function defined on a closed or bounded interval can have its absolute…

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A: In this question,  we need to transform the variable in the probability density function.

Q: Let f(x) = 6 + V4x – 5. Find f-'(x). f- (x) = for x > 6

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Q: -35 Find s?(s°+4)

A: We will find out the required value.

Q: Detemine whether the differential eguation iš linear of nonlinear and qve reqsons- Ox*dy txdy= Sinx…

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Q: Differentiate the following function: VP - 4V U = u =||

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Q: Differentiate the following function 3 U = ²³² √² + ² + 2 u= +2√+³

A: Derivate with respect to t

Q: Prove that the derivativeo P(zx tJ's 4(2Xbjusiy Pirst Princiele 4(2X+)by jusing first Princiele…

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Q: Let f(t) = 3t – 8t + 5e'. - Then f'(t) =

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Q: Which interval is f increasing when f' (x) = x³ - x ? (a). (-00, 0) (b). (–1,0) (c). (–1,1) (d). (0,…

A: If f'(x) >0 then f is increasing.

Q: If y- sinhx then prove that = dx

A: Fundamental inverse Trigonometric Identities: →cosh2y - sinh2y = 1 Basic derivative:…

Q: Let F(t) = (4t³ - 1)j + (5t+2)k. Find F'(t). 7"(t) O 288t 288t³j 05+288t³ O 36t³ +5 O None of these

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Q: The number of representatives of a political party, N, in a city council depends on the percentage…

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Q: Suppose that f'(x) = 2x for all x. a) Find f(4) if f(0) = 0. b) Find f(4) if f(2)= -1. c) Find f(4)…

A: Given f'( x ) = 2x

Q: \+etari), find f.. S, and f.- xyz 3. If f(x,y,z)= hn 2

A: We have to find fx , fy , fz.

Q: Jige If f(2) =-3, g(2) =4, f' (2) =2, and g' (2) =, d. then dx -21 16 9. 16 -13 16 29 16 6 jp 3…

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Q: Let Compute f'(2). ƒ(x) = x³ + 3ª

A: This is a problem related to differentiation of the function. Please follow the procedure given…

Q: Find and interpret f'( – 2) and f''(– 2). 3 f(x) =

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Q: Find a critical number of f when f'(x) = 2x³ + x² – 3x. (a.) x = NIW 2 (b.) x = 1 (c.) x = -1 (d.) x…

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Q: Let f(t) 5t4 - 2t + 6et. Then f'(t) = =

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Q: Suppose f(x) = 6t²√1+tº dt. 1) Evaluate f (2). 2) Evaluate f'(2). 3) Evaluate f"(2).

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Q: please answer

A: Given:mean µ=80standard deviation σ=5 Let X be the random variable that represents the final scores…

Q: Let 7(t) = FindF (t) 구' (t) - <| Question Help: OVideo Submit Question

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Q: Describe the long run behavior of f(x) = x* As x → ∞, f(x) → ? As x → 0, f(x) → ?

A: This question is about function behaviour near infinity

Q: GrRve the domnin f n(x)= -9-4x|usq iaeoul.ntaton

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Q: Let f(x)= x³+1. Then (fof)'(1)= O 20 O 36 O 3 O 9

A: Please refer to the image below

Q: Let f(x) = 2 – 2², x > 0 f'(x) = Preview

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Q: Suppose that f(x) = x2 + 17 Find f' (1). f'(1) =|

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A: We need to find inverse function.

Q: + Find the maximum value of isu = Sinn Siny Sincnty) U

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Q: c) Sa* sin*x dx

A: To evaluate : The integral  ∫π43π4 sin4 x dx .

Q: Let f(Wx)= 6x. Then f' (2)= %3D 12/2 1 12 12 24 - 12 6.

A: The given function is: fx=6x

Q: Vリ What is F'(;) 4 ? 16 π 4 π ミ|N

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Q: Let F (x) : tan't dt. Find F' (V3 -1, 4 27

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Q: is ty'+2y=t^2-t+1 a linear ODE in standard form?

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