12 | g(t) dt = 30 4. 9(7) V3 9(12) = 4 12 g'(x) Evaluate: dr = 16 + (g(x))²

Q: Find f. 4 3 f '(x) Vx 45e sec2 f(0) 11 х, = f(x)

A: To find the function f.

Q: Suppose that the total revenue realized by the Odyssey Travel Agency is R=f(x) thousand dollars if x…

A: 1. f(b)-f(a)/b-a measures rate of change of revenue from "a" thousand dollars to "b" thousand…

Q: 2x2 - бх + 5 |Let f(x) = Evaluate f' (x) at x = 1. 4x2 + 3x + 10 f'(1) =

A: Given: f(x)=2x2−6x+54x2+3x+10 Quotient rule of differentiation states that ddxfg=f'g-g'fg2

Q: f(1) = (r + 2x + 8)4

A:

Q: '7 '7 If [ f(x) dx = 10 and ² fix 5 X f(x) dx = 3.2, find *5 [² f(x) dx.

A:

Q: Use the table below to compute h'(2) for h(x) = 2 + 2g(x). f(1) g(x) f'(x) | g'(x) 0. 0. -2 2 1/2 -3…

A: Given query is to find the derivative of h(x) at x=2, from the given table.

Q: Let f(1) = 1, g(1) = -3,h(1) = 2, f'(1) = -1,g'(1) = 2, and h'(1 d f(x) g(x) dx h(x) Find when x =…

A: Please refer to the image below

Q: 3 X 1 2 3 4 5 f'(x) 5 12 4 3 g'(x) 3 245 1 [3f(x) - 4x] x=3 =(Type an integer or a decimal.) www

A: We will find the required.

Q: Find f. f"(t) f(4) = 10, f'(4) = 5 f(t) =

A:

Q: Find f(x) dx if S5 f(x) lx for x 2 5' for x < 5

A: Given- ∫07fxdx if 5    for x&lt;5x    for x≥5 To find- The value of the above integral.

Q: 1. Find f'(x) for f(x) = ln x + 2e - 3x².

A: The given function fx=ln x+2ex-3x2. We have to find the derivative function f'x.

Q: What is the relative error in estimating the first derivative of f (z) = 25x - 6x2 + 7x- 88 at x-2,…

A: Given equation is f(x) = 25x3 - 6x2 + 7x - 88∴ f′(x) = 75x2 - 12x + 7

Q: LET 9 (3)=4₁ g (3)=-1 FIND H (3) For H(X) = xg(x) 5x-6 FUNCTION

A: solution is given below..

Q: Find f. f(x) = f"(x) = -2 + 18x - 12x², f(0) = 3, f'(0) = 12

A: Integration

Q: '5 '5 '5 If f(x) dx = 33 and g(x) dx = 14, find [2f(x) + 3g(x)] dx. %3D

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Q: 3 x2 If f(x) find: 8+ x2 f'(x) = %3D

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Q: Find f. 4 f'(x) = 1- Ex) = %3D

A: This is a problem related to integral. Based on the given differential equation we will calculate…

Q: 2x 5. F(x) = "(5t – 1) dt

A: Here, it is given that F(x)=∫x2x5t-1dt

Q: Find F' (x) if F(x) = L Vt² + 1dt.

A:

Q: -1 sedx- cos(

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Q: x/f(x) 10. Given h(x) If f(2) = 9, f'(2) = 4, g(2) = -1, g'(2) = -3, calculate h'(2). g² (x)

A:

Q: If f(6) = 15, f'is continuous, and f (x) dx = 15, what is the value of f(7)? f(7) = %3D

A: