1. the mgf of X is given by (a) Pr(X ≤ 1) Mx (t) = √e(et-1). (b) V (4X - 9)

Q: Suppose that f(x + h) – f(x) = 5hx + 8h – 6h². Find f'(x). f'(x) =

A: Given: fx+h-fx=5hx+8h-6h2, To find: f'x.

Q: f(x)=2sinx-1/x of the function x€[pi/6,pi/4] Take the smallest positive root in the range of three…

A: Using Intermediate Value theorem f is a Continuous function whose domain contains the interval [a,…

Q: Let f(x)=3x3+x and g=f¯l then g'(4) = %3D .A 1/2 .B 1/10 .C 1/5 .D 1

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Q: Find the derivate of this function]: 2 a) f(x) = 4x² + x + 9 at -5 f(-5) = b) f(x) = √√√x at 16 F'…

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Q: f (x) = = at x = 3 with h = 0.25

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Q: department store offers a promotion for the customers who have receipts with a minimum purchase of…

A: Probability : Probability could be a discipline of arithmetic involved with numerical explanations…

Q: A department store wants to send codes for $15 off a $75 purchase to the subscribers of its e-mail…

A: Given Information:  There are 23 letters to be used and 10 digits to be used to create a code To…

Q: Use this definition to find f'(a) at the given number a. f(x) = = √6x + 7, a = 7

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Q: Find f" (1) when f(x) = x² − 3x³ + 2x² +10. Round your answer to three decimal places, if necessary.

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Q: Differentiate the given function: g(x) = sec¯ ec- (x²) ...

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Q: 2x+ex-1 +3

A: The function is given as fx=2x+ex-1+3. The derivative of the function is ,  f'x=2+ex-1. Let the…

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

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Q: 4. Given f(x) = (x² – 2x − 1)²/³, determine the equation of the tangent line at x=2.

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Q: 6. If f(x)= V3x + 4 , find (7).

A: Given function is To find inverse function of f , we set y=f(x) and solve for x Therefore,

Q: If f(x) = =√(t³3 + 3t² + 6) dt then f"(x) =

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Q: 2 For the function f(x)=√x+25, find f''(x). Then find f''(0) and f''(3). f(x)=0 www

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Q: 2. Determine the function f (x) for which f'(x) ==++ 3 1 + 8x3 x-2 x2 and f(1) = 7.

A: =&gt; f(x)= ∫ f'(x)dx

Q: If fe F dr = Sc(x - 2y³) dx + (x²y) dy, what is F?

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Q: If f(x) = x) = √² (2³ + 72² S 0 then f"(x) = (t³ + 7t² + 5) dt

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Q: 2) (6 pts) Find the tangent line through the function g(x) = 6 -√√x when x = 4.

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Q: Find h'(x) given h(x) = 6x√√x. 3 O ○ 6x² 09√x 6x7 6+x7² None of these

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Q: (vii) If f(1) = 10 and f'(x) > 2 for 1 < x < 4, how small can f(4) possibly be? Give proper…

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Q: Q3 Find f-(x) for the following : 1- y = Jx-3 2- y = (2x³ + 1)'/5

A: For finding the inverse, we will replace x with y and y with x

Q: Find an equation of the tangent to the curve f(x) = √√x+8 that has slope 4 O A. O B. O C. D. 1 y =…

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Q: a) Let f(x) = √5 + 132³. Find f'(x). f'(2) - O b) Let f(z) J'(x) = 0 evS+13³ Find f'(z). -e'

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Q: Differentiate the given function: f(x) = In(2r³ – 5æ) 6x² – 5 A f'(x) = 2x3 – 5x 1 ® f'(x) = 2x3 –…

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Q: Given the functions f(x) = 3+ Vã, g(x) = x² – 3, h(x) 1 - x m(r): I - 3 find the following: 3x + 5'…

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Q: If f(æ) = a² – 9 and g(æ) , then (go f)(Vī1) is , æ +8' O 0.80 O 0.20 O 7.00 O 64.00 O 16.00

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Q: =- Determine the values of c and d for f(x) = fƒ (7) = 0. For what value(s) of x is f(x) increasing?…

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Q: 32. f(x) = 2 In(x² – 3x + 4) %3D

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