(a) Show that the moment generating function of X is given by 1 Мx() - 1

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

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Q: agrange's mea 2x in 0,

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Q: Perform one iteration of the Newton's method to minimize the function f(x1,x2) = 2(x2 – x?)² + (1 –…

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Q: Show that the function f(x) = e¯*/2 has inflection points x = f1. at

A: We have the given function as fx=e-x22              ⋯⋯1 As we know that, a point of inflection of…

Q: (b) is required for this part. What is the moment generating function of X? No work (c) Compute…

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Q: Let f(x) = cos t dt ,x> 0. Then Ax) has (a) maxima when n = - 2, - 4,- 6, . . . . (b) minima when n…

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Q: Find F as a function of x and evaluate it at x = 5, x = 7, and x = 9. F(x) = F(5)= F(7) = F(9) =…

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Q: Suppose f is differentiable and (-1,4) is a point on the graph of f. The estimate f(-0.8) 5 is…

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Q: If g(t)=t^2tan(t), then can the Intermediate Value Theorem be used on the interval [0, pi/4] to show…

A: If a continuous function in a domain has two domain end points and one point is above the required…

Q: Show that the function f(x) = K. when xw0 when xois discontinuous at x = 0.

A: Solution

Q: (2) Let s(t) = 5t2 – 22t be the position function of a particle moving alon a coordinate line, where…

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Q: Maximise the function f(x, y) = 4xy² subject to r + y? = 2.

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Q: Decide whether or not the real function In (eon 2) I+0, = (1) 1= 0, is continuous at r = 0.

A: The given function is fx=ln cos2x2x2     if  x≠0-1                if  x=0. Compute the limit…

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: find the fallowing Js(x)

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Q: Consider the function f(t) defined as f(t)= 2t^(2) + 8t+9 for the range -<ts, and extended…

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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: Compute f(x)dx f(x) = { 2x if x <1 4 if x 21

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Q: e-82 x2 Define f(x)= In(t) dt . The function f is concave upward on the interval [

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

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Q: 2 The reliability of a turbine blade is given by R(t) = to, where to is the maximum life of the…

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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: 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: 2x 1 Let f be the function defined by f (x) = | dt. Find an expression (2t – 5)6 - for f'(x).

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Contingency Table

A contingency table can be defined as the visual representation of the relationship between two or more categorical variables that can be evaluated and registered. It is a categorical version of the scatterplot, which is used to investigate the linear relationship between two variables. A contingency table is indeed a type of frequency distribution table that displays two variables at the same time.

Binomial Distribution

Binomial is an algebraic expression of the sum or the difference of two terms. Before knowing about binomial distribution, we must know about the binomial theorem.