Help me please:  Assume X~Possion(λ). Use the definition of expectation to find E[X]

Q: Find the value of c guaranteed by the Mean Value Theorem (MVT) for f(x) = √√9 - x² over the interval…

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Q: Exercise, find the higher-order derivative. Given Derivative S(x) = 3x2 + 7x + 1 %3D

A: First differentiating with respect to x to get f'(x) then again differentiating with respect to x to…

Q: Determine the local optima of the following functions using both the First derivative test and…

A: First derivative test: let f be a continuous on [a,b] let c be a critical number for f in (a,b).…

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

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Q: Let f(x)= V x³ at the interval of [0,2] ; then , use the mean valune theorem to find c.

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Q: Evaluate the convolution, f(t) * g(t) = 8t*e', then evaluate at t = 2.

A: If f and g be two functions that are piecewise continuous on every finite closed interval 0≤t≤b and…

Q: f(x.y) = e*+y+3

A: Explanation and solutions is given below....

Q: The speed of a car at time t, 5 ≤ 1 ≤ 10, is given by f(t)= 2(t-10)². The Mean Value Theorem…

A: The speed of a car at time  is given by  The mean value theorem gaurentees that there will be a…

Q: x²+x' Evaluate the derivative at x = 1 for y = In () %3D

A: Some common derivatives are, ddx(ax)=ax.loga+C ddx(logf(x)=1f(x).f'(x)+C Quotient rule of…

Q: a) Calculate the derivative of f Cx) by first expanding and Simplifyıng the function fCx)=(2-3x) 2

A: Given,           fx=2-3x2

Q: 1 Differentiate f(x) = log, x from the first principle. Note: f'(x) = x In a

A: q- differentiate the function fx=logax from the first principle it is known that, according to first…

Q: f(b)-f(a) 4. Use the Mean Value Theorem to find c e [a, b] such that f'(c) = [a, b] = [-2, 2]. given…

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Q: Two types of feed have been developed for a freshwater fish raised in fish farms. 40 of the fish fed…

A: The following information is provided in the question Average weight of fish fed on first feed = 175…

Q: a) Consider the function g(x) = f* f(t)\ dt, where a is a constant. i. With the aid of a diagram…

A: The given function is, gx=∫axftdt. (a) To Explain: the relation between g and f. (b) To Find: g'(x)…

Q: compute the derivative. f (z) = z tan z

A: The given function is f (z) = z tan z To compute: Derivative of  f (z) = z tan z

Q: The PDF for X is f(x) = 5000 x> (x+50)³ , ¤ ≥ 0. Find P[X ≥ 70].

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Q: Apply the Mean Value Theorem (i.e., find the possible c-value in [-12,0]) on the function f(x) = V4…

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Q: 8. Use the Mean Value Theorem to prove fEC'la, b], f'(x) = 0 = f(x) = c

A: see below the answer

Q: |Discretize the function f(t) = cos(t) over the interval (0, 27] with step-size h = 3. Sample…

A: Thanks for the question :)And your upvote will be really appreciable ;)