If [ f(x) dx O 10 0 2 O O -2 = 4 and 4 [*g(x)dx = 6, what is 5 2 [ f(x)dx + ² g(x)dx? 4

Q: 2. . If f(x) dx = 4 and 3g(x) dx = -9, evaluate [² [3f(x) + g(x)] dx

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Q: Let f(x) = 3x + 4 and g(x) = -2x – 3. What is (f o g)(x)?

A: We have to solve

Q: Suppose 4 0 2 8 * (3f(x))dx = 12 and -2 d[ f(x)dx = 2. Compute 5 5 -2 f(x)dx.

A: NOTE: Refresh your page if you can't see any equations. . here we have and

Q: Find | f(x) + 6g(x)]dx if -2 6. 6 f(x)dx = 4 and g(x)dx = -6. -2 -2 6. [f(x) + 6g(x)]dx =

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Q: [x²√1-x² dx

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Q: Suppose that f(x) = (x - 4)*.

A: At the point of inflection, f''(x)=0.

Q: x+3 4) Evaluate f dx x+1

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Q: Finally, use the Generalized Power Rule to determine[x -x], noting that x-x is the difference of two…

A: Here we have to find differentiation of f(x)

Q: 3 S ƒ ³√x² – 2x(x − 1) dx x2

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Q: S (x + ¹) ex x²+2x-3 dx

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Q: erify the result C(X"X) = C(X") for %3D x-(; ) X = -1 0 %3D

A: We have to solve given problems:

Q: Find n(B) if B = {x : x is a letter in the word “bookkeeper”}.

A: Find n(B) if B = {x : x is a letter in the word “bookkeeper”}.

Q: 20) √√x(4-x) dx 0 1

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Q: If f. ²³ f A B C f (x) dx = 4 and 7 a 17 1 and ²9 (2) 27 2 n √² (3ƒ (x) – g(x)) dx = g(x) dx = -5,…

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Q: If [ f(x) f(x) dx = 7 and then f (A) 4 (C) -4 (E) 10 2f(x) dx (B) 24 (D) 14 [²₁ f(x) dx = 5,

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Q: . f(x) = 2* DA. O(x²) DB. Ω(x) Dc. O(x²) f(x) = [x][x] (floor of x times ceiling of x) DA. O(x²) DB.…

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Q: Find 9 JBS if [3f (x) - g (x)] dx = i 9 9 frode = 2 and 1200dx = 50 [80 (x) dx g (x)

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Q: (2 11) dx (x+2)* (x-1) *

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Q: If f(x) = 2×, show that f(x + h) – f(x) = 2×( 2" -1). h Simplify your answers completely at each…

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Q: ,2 So|x² - 1 dx

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Q: What happens to ƒ(x) = x2 when x is a number very close to (but not equal to) 2?

A: Given function is  fx=x2 Consider x≠2,  but very very close to 2 and x<2 x 1.9 1.99 1.999…

Q: If f(x) = x2 – 6x and g(x) = 6 – x³, evaluate the following. %3D a. (f+ g)(- 2) b. (g - )(- 4) c. (f…

A: The given functions are f(x)=x2-6x  &  g(x)=6-x3

Q: b) Is f x(x² + 1)dx = ( + x) + C true or false? show me

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Q: Let 11 f(x) dx = 9, 10 Find "f(e) de = [ and nd S 9f(x) - 7 dx 10 [₁ f(x) dx = 7, [1² f(x) dx = 9.…

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Q: If f(x) = x*3 − 6/x, find the following:a) f(-1/2)b) f(2)c) f(-2)

A: Answer: a) -27/2 or -13.5

Q: 4. √ (3x² + 4x − 5). 8(r³+2x²–5x+5) dx

A: We have to find solutions

Q: Suppose f(x) = 9x 2 and g(x) = Vx – 2x + 6. - - (f o g)(x) = (f o g)(2) = %3D

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Q: If f(x) = (x – 3)² +1, what is f(6) ? O -2 О 10 О 16

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Q: What happens to the value g(x) if x is tripled

A: The value of the function when the x value is changed, totally depends upon the type of function.

Q: 5. Find (f g)(x) for f(x) = 4x -9 and g(x) 3x2.

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Q: Evaluate 7x 11 √(x - - − 1)(x – 3) - - - dx

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Q: xe 47. h(x) Rule %3D x + 1

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Q: 2. If f(x) = 3x³ + 2, find a number c between a = -1 and b = 2 such that f(x) dx = f(c)(b - a) -1 A.…

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Q: S dx (x+1)√2x²+4x

A: This question is based on indefinite integral.