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

Q: Find the linearization of the function f (x) = x' at x = 1. L (x) =

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Q: Compute the indicated derivative. U (t) = -1.3t2 - 4.5t; U' (1) limp 20 (-7.1 – 1.3h) = 7.1 limp 30…

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Q: Find the derivative of f(x) = log, (x° + x – 1). %3D 2 + x - 1 f (2) = %3D (3z* + 1) (In 2) (3z +1)…

A: Given:     fx=log2x3+x-1

Q: 3. Find g if g'(x) = 8x(x® – }) and g(2) = 3. %3D %3D

A: We will find g.

Q: Consider function P(r) = 470*w (r), where w(r) = e 4 and find it's maximum, i.e. the distance r at…

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Q: Compute the derivative (r₁(1) r2(1)) if r₁(t) = (t¹0, 1³, tº) 73 10t r2(t) = (et, e³t, elor) (Use…

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Q: Find the Upper Bound (UB) and Lower Bound (LB) for f (x) = x' – 3x +24. a. Unbounded. b. LB =-3;UB =…

A: The lower bound of a function is obtained if the polynomial is divided by x-c using the synthetic…

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: 14. The function g is defined as g(x) = 3x + | (1+?) dt. What is the value of g'(2)? %3D (A) 20 (B)…

A: The given function is- gx=3x+∫1x21+t2dt Then evaluating the integral-…

Q: The graph shown below is f(x)=√x+1.If g(x) = f(t)dt, find g '(3). 5 4 3 2 X 5 4 3 2 1 1 2 3 4 5 कृ…

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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: 1. Let A(x) = | e -tdt. (a) Sketch a graph of e-t and use your graph to illustrate what A(x)…

A: Given:Here A(x)=∫1xe-tdtTo find:a)sketch the graph of e-tb)find the value of A(2)c)find…

Q: = f²³² € 0 Given F(x) = -t² e dt, use FTC Part II to find F'(1)

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Q: 7. Find the derivative of each funcrion. a. y = 5-4* b. fCx) = xqx d. FCx) = Togax-1 C. Y =…

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Q: 2. Let 1 f(x): Recall: L(x) = f(a) + f'(a)(x - a) and L(x) f(x) when x is close to a (a) Find the…

A: Given function is -  f(x) = 1/x

Q: r9(z) f(t) dt without using the Fundamental Theorem of 6. Find the derivative of y = Calculus part…

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Q: 6. A population is modeled by the function P(t) : 500 %3D 2+3e-t where t represents time in years.…

A: The population of a place is modeled by the function, Pt=5002+3e-t Here, t represents the time in…

Q: Let g(x) = | F(t) dt, where fis the function whose graph is shown. y f 12 1 (a) Evaluate g(x) for x…

A: Given The given integral is  and the given graph is  Apply formula  The area of the right angle…

Q: Suppose the following values of f' (t) are known. t f' (t) 4 1 6. 1 Use them to estimate the change…

A: Given,