If the moment-generating function of X is a. M(t)=(1–21)"", 1 < ½, Find the p.d.f of X hence use it to calculate i. Е(X), ii. Var(X).

Q: Find the c value satisfying MVT for f(x) = 3x² + 2 in 1 < x < 5

A: Given: fx=3x2+2 in interval 1&lt;x&lt;5

Q: The number of bacteria in a refrigerated food product is given by N(T) 24721707 +97, 7<T<37 where T…

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Q: a) Differentiate the function Q(p) = -2³√/p³ (²-P). b) Hence or otherwise, determine Q'(1).

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Q: – 8t² + 11)*. + 11)*. Find the derivative of f (t) = (9t³

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Q: Let f (t) = L1 {}. -3s Find f (7). 83 32

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Q: -altl Find the F.T. of g(t) = e to aso

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Q: [3, 5]. - Calculate Rg for f(x) = 7 – x over R8

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Q: 1) Consider the function f(x): = 5x² - 4x +7 Find a number c in the domain such that f (c) = defined…

A: Given: fx=5x2-4x+7 for x∈1, 4 To be find c∈1, 4 such that fc=13∫14fxdx Integral of ∫xndx is given by…

Q: Does the MVT apply to f(x) = - on the interval [1, 4]?

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Q: a) For the function f(x)=x³ –12x + 5, determine i) intervals where f is increasing or decreasing ii)…

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Q: Let f(x) = (x" + 10x) e 6x-5, where n is an unspecified constant. Find the value of n such that the…

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Q: Find y as a function of t if with y(0) 9, /(0) = 5. y A 10000-81y=0

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Q: The function f(x) = Ei-1 Cix;| is piecewise linear and convex. True O False

A: Step:- 1 Convex piece-wise Linear: - A function f: ℝn→ℝis a convex piece-wise linear if there exist…

Q: Which of the following is a true statement? d (10) = 5 (104) da O The equation of the tangent line…

A: (1) ddx(105) = 0         ∵ddx(c) = 0  statement is False(2) The equation of the tangent line to the…

Q: On what interval(s) is the function f(x) = x* – 4.x³ both decreasing and - up? concave A

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Q: hup lict funcrion F(xig) = x?y -eto =0 P(e, 1) Find y" (e) = ?

A: Here to use implicit diffrentiation method for solving the problem

Q: The undergraduate population at a recently-founded liberal arts college is growing according to the…

A: We have to select the true option.

Q: cott Examine the function f (t)={n/ 2-t 1, t# a/2

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Q: IB) Find the cnber of curvatee, eguation of the curde of cuuunfure f (x)> Jax of the gmph. of at x=…

A: Consider the given curve as, fx=2x at, x=4 Let y=fx=2x

Q: 4) A study is designed to examine the how the eyes of a model in a magazine advertisement might…

A: The given summarized data set is:GroupsCount; niSum; TiAverage; x¯iVariance;…

Q: Let f(r) = 2. 1 + Find f(1/2) 1. Find the domain of f ii.

A: Given data is: fx=11-21+11-x Calculate the value of f12 and the domain of the function.

Q: Use the linearization of the function ƒ(x) = x²/³ at x = 8 to approximate 7.72/3 Enter your…

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Q: Let F(s)= [f(x-s)d. Find F(s) for the function f(x)= x", where n is a constant.

A: The power rule for integration is ∫x5dx=x66+C. Here, C is the constant and x is the integration…

Q: Consider an F-curve with d f = (2, 14). Determine F0.05.

A: The F-curve 0.05 area with degrees of freedom 2 and 14.

Q: Jack drives east away from Hilltop bakery at 60 mph while Jill drives toward the bakery at 40 mph…

A: Given that,

Q: Use the function f plotted below to define g(x) = | f(t)dt y=f(x) -2 2 -2 Answer the following…

A: We’ll answer the first question since the exact one wasn’t specified. Please submit a new question…

Q: -at EX:- Find the F.T. of g(t) = e + >

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Q: Find a point c satisfying the conclusion of the MVT for the function y(x) = 16/x on the interval [0,…

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Q: Q2. Given that f(x) = |6 – 2x|. Draw the graph of f (x) and hence evaluate f f(x)dx. [ Fig 1

A: Let's find.