Suppose y = f(x) satisfies dx 8x Vy + 1 for y > -1 and f(0) = 0 %3D . Find f(x). O f(x) = 4x4 + 4x? O f(x) = 4x4 + 2x² O f(x) = 2x + 4x? O f(x) = 2x4 + 2x² %3D

Q: If (5f(x) + 4) dr = 3, then S f(x)dx = %3D

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Q: f(x) = 3x + 21, -3<x<0

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Q: Let f(x) = V9x – 10 . Determine f-(x). f-(x)%3D

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Q: Find the extrema of f (x) = 2x3 − 15x2 + 24x + 7 on [0, 6].

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Q: f ( x ) = 5 x + 2 at x = 7

A: Given: f ( x ) = 5 x + 2     To determine: value of f(x) at x = 7 i.e, f(7)

Q: Suppose g(x) = 3x- 2 and h(x) = f[g(x)] = 15x - 11. Find y = f(x).. %3D %3D %3D %3D Explain and show…

A: Given that                     g(x)=3x-2  and  h(x)=f[g(x)]=15x-11

Q: Find d da [e³²2²] dx 6xe ³x² e ³x² 6x e ³x² 6x (eª) (e³²²) (3x²) (6x)

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Q: If f (5f(x) + 2) dx = 4, then Si f(æ)dx =

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Q: 4 If ſ₁ ƒ(x) dx = 12, then ¹ f(4x) dx is equal to If ſ¹ ƒ(x) dx = 12, then fx f(x²) dx is equal to

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Q: If f(x) dx = (2x – 14)12 + C, find f(x). %3D f(x) %3D

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Q: Find f-1 (x) for f(x) = 7x + 4. O 1-²=-²/x-1/ O f¹(x) = -7x+4 O---- O f-¹(x) = -7 x - 4

A: For finding the inverse of a function replace all x with y and all y with x and then solve for y.

Q: r {(2) = In(V32" + 5x° + + 6), find f'(r). Use exact values. If

A: Given function is fx=ln3x6+5x3+67      =ln3x6+5x3+617=17ln3x6+5x3+6

Q: 9. (x+ 3)(x – 6) = 10 %3D

A: Our Aim is to solve the equation given below for x:-(x+3)(x-6)=10 -(i)

Q: VT-x- 5 | f(x) = 6.

A: