Question 5 Given that 10x6 + 3x- x² f(x) = x2 a) Simplify f (x) b) Hence, or otherwise, find g(x) = | f(x) dx

Q: Question 14 4. If f (x)= ,then f '(x) equals (1+3x)5 60 A (1+3x) 25 60 (1+3x) 10 - 60 (1+3x) 10 - 60…

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Q: ,6 .6 If f(x)dx=10 and| f{x)dx=3, then | f(4 – x)dx=? -2

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Q: 37. f(x) = 2x' – 3x² – 12x

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Q: f(x) =

A: Given: We have graph of the function. to find:  The function of the graph.

Q: 3 45. f(x) = ;x = - %3D 1 Vx + 2

A: We are asked to find the equation of the tangent line to the graph.

Q: Question 1 What is the value of f(1) - 16B in fx³ Inx dx = f(x) ((1/4) Inx-B) + C? 12

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Q: Question 5 Assume that dx = 3, f(x) dx = e, g(x) dx = -3, g(x) dx = , and f is an odd function and g…

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Q: Question 11 (1 point) Find a formula for the inverse. f(x) = 8x3 -7 %3D 3x - 7 A) f-1(x) = 8. %3D 3x…

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Q: Question 8 Suppose f (x) = In(2x3- 5x), what is the derivative of f with respect to x? A (x)= 2x3-…

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Q: x<-10 0.25 F(x) = -10 sx< 30 30 sx< 50 50 Sx 0.75

A: Solution Dear students as per guidelines we answer the first three subparts only.

Q: Question 6 (x5-x3– 6x) dx is the same as x²+2 4x dx x2+2 D 8x dx x²+2 (E F None

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Q: | [2 + f(x)] dx a

A: We have to split the integral.

Q: QUESTION 1 Given f(x) = 2x + 1 and h(x) = x2 - 3, find a) f-1(5) b) f-1h(x) c) the value of x…

A: (gof)(x) = g[f(x)].

Q: 1 1 (х3-x4) dx 4x1/2

A: We will split the function and evaluate the integration one by one.

Q: Question 11: Let f(x) = |- x +7|-|-3+x|, where r E R. Let Z = {x: f(x) > 0} . Give explicitly the…

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Q: 10х3 dx /1 – x³ 5.)

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Q: Question 3 f (z) = (x- 1) (x - 8)2 Find f (-1)

A: Solve f(-1)

Q: ® find f'cx) if fCx) - 4x4 ex+A

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Q: QUESTION 4 Select all valid answers. Compute [(5x7+8x*- 3x?)(5+4x-2-12x-5)] dx (5x7+8x4- 3x?)(5…

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Q: Question 1 of 12 Find f(x)dx if f(x)dx = 2 and f(x)dx = - 6. -2 1) Note that in this problem,…

A: We need to integrate the given function

Q: Example 12: Solve: (y - 2xy)dx= (x² – 2xy)dy %3D

A: Given that :  A defferential equation is given.  Now solve it

Q: Question 9 of 10 For f(x) = 3x+1 and g(x) = x² – 6, find (f- g)(x). O A. -x+3x- 5 O B. x - 3x - 7 O…

A: That's easy, just subtract corresponding functions.

Q: 7. (a) Express f(x) where f(x)

A: Note: Since you have asked multiple question, we will solve the first question for you. If you want…

Q: Question 10 Evaluate f - x3+27 dx. x+3 x3 A.) 3 + 9x + C x3 В.) 3x2 + 9x + C 2 C.) 3x2 + - 9x + C…

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Q: QUESTION 8 If (fog)(x) = 6x + 3 and f(x) = 2x - 1 then g(x) = ? O 3x + 2 O 2x + 3 O 3x - 2 O 2x - 3

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Q: Question 3 Given f (x) = 2x and g (x) = 4x + 3. Evaluate g (f (-)). (E)

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Q: EXAMPLE 7 If it is known that '5 f(x) dx = 11 and f(x) dx = 10, find f(x) dx.

A: It is given that, ∫08fxdx=11 and ∫05fxdx=10.

Q: Question 2 If f(2) = In(x² + 3) then ar f'(x) = r* +d'

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Q: Question 1 Find all critical numbers of f (x) =4x³ – 3x² – 18x+2 3 A B -1,

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Q: QUESTION 2 What is the value of f(1) - 16B in | x3 Inx dx = f(x) ((1/4) Inx - B) + C? 3 0 1 2

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Q: 40. f(x) = VЗx; а — 12

A: (40) The given function is: f(x)=3x at a = 12 (a) To find the derivative, apply the power rule…

Q: Question 3 Suppose that f satisfies | f(x) dx = 6 and 1| f(x)dx= –4. Calculate -5 (2.x + 10 – f(x))…

A: Given that: ∫-53f(x)dx=6 and ∫35f(x)dx=-4

Q: Question 1 Derive O(h2) three-point formulas to approximate f'(xk) that use: f(xk – 2h), f(xk - h),…

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Q: Example 16. 3 √(x + = 1³ X dx

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Q: QUESTION 3 Find all positive numbers b such that the average value of the function g(x) = 80 + 5 x -…

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Q: Question 5 Integrate the function. X +7 dx 2+2x A22 A)In x7 In +C 2)5 x7 In (x*2)5 In (x

A: Given: I=∫x+7x2+2xdx   We know that; ∫1ax+bdx=1alnax+b+C

Q: Question 4 What is the value of f(1) - 16B in J x³ Inx dx = f(x) ((1/4) Inx - B) + C? A) O B) 1 (C)…

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Q: f(x) = x – 1 m(x) = 3x + 2 h(x) = -4 g(x) = x2 – 5x + 4 4. (m • g)(x) 5. (mof)(x) 6. (g - f)(x)

A: (m×g)(x)=m(x)×g(x)given:m(x)=3x+2 and g(x)=x2-5x+4(m×g)(x)=(3x+2)(x2-5x+4)=3x3-13x2+2x+8

Q: Question 11 (1 point) Find a formula for the inverse. f(x) = 8x3 -7 %3D 3x - 7 A) f-1(x) = : 8. B)…

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Q: 9. -1 2x xe dx

A: We have to find out solution of integral

Q: 66) y = f(x)= 1-x

A: f(x)=x21-x x-1=0 x=1 vertical asymptote at x=1 Now make a table for graphing x…

Q: Question 2 Find the second derivative of the function f(x) = x² - 3x and choose the correct answer.…

A: To find the second derivative of the given function.

Q: (x) = ln(1 + e8x), find f '(0).

A: Given,          fx=ln1+e8x

Q: Question 6 (1, if x 2 Using Maple, plot

A: Given,

Q: ~10 xe Ax) = Sg" -dx (x + 2)(x+3)(,² – 1)

A: The given problem is evaluate the given definite integral using Simpsons 3/8 rule.

Q: Question 1 Evaluate (fo g) (-1), when f (x) = 3x² + 1, and g (x) = 4x +1 %3D Question 2

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Q: Question 8. Evaluate x2 dx V4-x2

A: Evaluate ∫x24-x2dx

Q: . f(x) = x² – 5x + 4, [1, 4] -

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Q: • Question 5 Let f(x) 8x / (r) 2.

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Q: CSc x 2.) b(x) = ln(-

A: