(a) X (b) X (c) X E X-μ (d) (n-1)s² (e) X1+Xn 2

Q: (12) Find the Value of b such that: [3x² dx = 27 (A) 6 (C) 9 (B) 3 (D) none of these 4

A: Step 1:To find the value of b such that ∫0b​3x2dx=27, we need to solve the definite integral: Step…

Q: f(x) dx = -4, f(x) dx = 6, g(x) dx = 8 - If g(x) dx b. c. 3f(x) dx d. dx x) - g(x)] dx g(x)] dx e.…

A:

Q: Which is true for the f (x)= (2x-4x)e A. f(x)=e* B. f(x)=e*-1 C. f(x)=e D. f(x)=e

A:

Q: Find 4 [3f (x) – g(x)]dx = i if 4 4 |r)dx = 4 and g(x)dx = 20

A: This question is related to definite integration, we will solve it using given information.

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A:

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A:

Q: If f f(x) dx = 6, f f(x) dx = 2, and f, g(x) = -5, find f₁[2f(x) — 4g(x)]dx.

A:

Q: If 3f(x)dx 6,and 5f(x)dx = 15 ,then 6f(x)dx = (a) 10 (b) 20 (c) 30 (d) 0 (e) 40

A:

Q: E(X)=5 and E(Y)=8 What is E(X+4Y)?

A: From the properties of expectation:-EaX+bY=aEX+bEY

Q: –1/2 | (x (x² + x) + 4)dx.

A: Given,            ∫04x-1/2x2 + x + 4 dx

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A: Given query is to find the derivative of the Inverse function.

Q: 1. g(x) (x - 4)2/2

A: Find g’(x) and equate to 0 to find the critical point.

Q: (c) [6 pts] In(x + 1) In(1 - x) = 2. I (d) [7 pts] 2.31-2x = 7.64+x

A: Question cx = 0 and 3 Question dx=−3ln(3)+ln(2)3ln(2)+3ln(3)+ln(7)​≈−1.835Another way of expressing…

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A: Solution...

Q: Consider f(n)=7n+8 and              g(n)= n2 Is f(n) = Ω (g (n))?

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Q: x +1 dx | (25 – 12) 3 2

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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,

A:

Q: Find [3f(x) – g(x)]dx = i if f(x)dx = 5 and g(x)dx 10 %3D

A: See the details solution in below

Q: f (x) = (8 − x)(x + 1)2

A: It is given that     f(x)=(8−x)(x+1)2 We have to find the zeros .

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Q: Find [2f(x) – g(x)]dx = i if f(x)dx = 4 and g(x)dx = 50

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Q: Using Rodrigues' formula for Pn(x), (T) (i) Pn(-x) = (-1)" P₂(x) cl

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Q: If g(x) = x3 and h(n) = 4n − √(n), what is (h ◦ g)?

A: g(x)=x3h(n)=4n-n

Q: (c) f(x) = e² – x + In(x) %3D

A:

Q: (3 − |x|)dr is equal to L (3 (a) f( (3 - x) dx (b) [(3+z)dz (c) [²₁ (3 - x) dx + [² (3 + x) dx (d)…

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Q: need

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Q: | [10f(x) – g(x)]dx if Find 5 5 f(x)dx = 7 and g(x)dx = 6. %3D | [10f(x) – g(x)]dx = i

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Q: |x−2/2−1/2|<1

A:

Q: 10. ir f(x)dx 5 and g(x)dx =-1, then (a) f(x) 2 g(x) r + g(x)) dx = 2 (e) f(x). g(x)dx = -5 (b) (d)…

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Q: Given √,³ 0-12 f(x)dx = 8 and g(x)dx=-4, what is -4 4 12 √,³ (g(x) − f(x)]dx?

A:

Q: (iv) S: (1-x²)z dx x8

A: Given:

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A: “Since you have asked multiple question, we will solve the first question for you. If youwant any…

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A:

Q: (9) If f(x) = 2x +k and g(x) = (x – 5)/2, for what value of k is f(g(x)) = g(f(x))? %3D (A) 15 (B) 5…

A: