Consider the function f(x) = 9x8 + 5x® – 4x° 4г* — 3. Enter the general antiderivative of f(x)

Q: If y = f(x), then f'(x), y', [Select] dy da and f(x) all represent the of fat x.

A: If , then to determine the meaning of .

Q: Find y as a function of a if y(0) = 7, y/(0) = -12, y'(0) = 108. y(x) = y" + 36y' = 0,

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Q: Let y = uv be the product of the functions u and v. Find y'(2) if u(2) = 3, u'(2) = -4, v(2) = 1,…

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Q: If z = f(x) + yg(x), what can you say about zy? Explain!

A: Answer is 0

Q: If f(t) = (t + 7t + 3) (5t² + 6), find ƒ'(t). Find f'(5).

A: Given : ft = t2 + 7t + 35t2 + 6

Q: Suppose that f(x) is an antiderivative of f(x) = V1 + xt. Express JoV1 + x* dx in terms of F and…

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Q: The function f is defined by ƒ (x) = -2x³ – x – 5 and f(-1) = -2. If g(x) = f¯1(x), what is the…

A: Given fx=-2x3-x-5f-1=-2Therefore, f-1-2=-1Differentiate with xf'(x)=-6x2-1f'-1=-7

Q: If SeF dr = [c(-5x + 3y² ) dx + (x³y) dy, what is F? %3D F =

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Q: Examine f(x,y) = 2x2 - 4x +xy2 - 1 for relative extrema?

A: Calculate fx, fy , fxx , fyy , fxy for f(x,y) = 2x2 - 4x +xy2 - 1 as follows. f(x,y) = 2x2-4x+xy2-…

Q: Let h(x)=√xf(x). If we know that f'(7) = 6ƒ(7), find a value for f(7) such that h'(7) = 4 (a) f(7):…

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Q: If f(t) = (t + 7t + 3) (5t? + 4), find f'(t). %3D Find f'(1).

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Q: f(x) = 4x In(x), x> 0.

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Q: If f(t) = (t + 5t + 4) (2t² + 2), find f'(t). Find f'(3).

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Q: If f(t) = (t² + 6t + 7) (7t² + 4), find ƒ'(t). Find f'(2).

A: INTRODUCTION A function's differentiation can be used to display the rate of change of a function at…

Q: 22. Find the "natural" domain of the function f(x)=16r +Vx. x'-16x

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Q: a. The f'(3) for y = v2x² + 7

A: Since, y=f(x)=2x2+7 -(i)Differentiating equation-(i), with respect to 'x', we…

Q: f(x) = V5 + v6x. Find f '(x).

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Q: Find an antiderivative of (3x3+9x5)/x6 in the variable x where x does not equal 0.

A: From the given problem:   3x3+9x5x6   So,    3x3+9x5x6=∫3x3+9x5x6dx   We can simply write as:…

Q: Choose True if the statement is correct, otherwise False. If f(x)dx is to be integrated and u =…

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Q: Find y as a function of a if y(0) = -2, (0) = 9, '(0) = -62. y(x) = y" - 4y" -y + 4y = 0,

A: Given that y''' -4y'' - y' + 4y = 0 ,   y(0) = - 2 y(0) = 9 '(0) = -62.

Q: Find f′(x) if f(x) = lnx / x2

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Q: Find dy/dz y=f(z) (2x2+3x+1) where f(z) is a general function and z=4x3+2

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Q: Differentiate the functions. a) f(x) = 2 – 3x + b) f(x) %3D Зе* + sinx c) f(x) = 3x

A: As per guidelines, we will solve only first three subparts. Kindly repost other subparts separately.

Q: Find the Green's function G" + k²G = 8(x − s), G(0, s) = 0, Gʻ(L, s) = 0

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Q: Let f(x) = 3x − 1, g(x) = x^2 + 1 and h(x) =x+1/3 Evaluate (h°f°g)(3).

A: f(x) = 3x − 1, g(x)=x2+1 and h(x) =x+13 To Evaluate (h°f°g)(3).

Q: b) Let f(x) = ¹. Find f'(x), ƒ"(x), ƒ"(x) and ƒ(4) (x). Deduce f(n)(x).

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Q: Let f(t) = 2t¹ – 3t+2eª. Then f'(t) =

A: NOTE: Refresh your page if you can't see any equations. . the given function is

Q: If f(x, y) = x³y + 9xy“, find the following. f(x, у) əx? |(1, 1)

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