21. Given the following table X -3 -2 -1 0 1 3 Total P(x) | 0.05 | 0.10 | 0.30 | 0 0.30 0.15 0.10 1 Сompute E(X), E(X'), Е (2X +3), V (x),V (2X +3)

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

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Q: 10. (8x)" W 39xt (21x -12) mWX = mYW = mYX = (10x + 9) MVXW = Gina Won (A Things Aigebra, uC,…

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Q: fxx = || f(x, y) = 5x4y6x4y5 - 21

A: For the given function f(x,y)=5x4y6-x4y5-21      has  fxx=12x2y5(5y-1)

Q: 1. If f(x) = x-1 and g(x) = 2x, what is g(f(x))? c. 2x -1 %3D а. х-2 b. 2х-1 d. 2x-2

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Q: 3. f(x)= 13x/x-4 8. f(x)= 4x/x+7 Step 1. Step 1. Step 2. Step 2. Step 3. Step 3. Step 4. Step 4.…

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Q: h(x)= Find f(x) such that h(x) = (fog)(x) and g(x)= 10 1-x' f(x) = 10 1-x¹0 10 4 1+x

A: We can solve this as follows:

Q: if x 1 F(x) = {x² + x3/2 3. %3D 0.

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Q: 15. (1.3.36) Find fogoh, where f(x) = |x4| g(x) = 2x h(x) = √(x)

A: To find , where

Q: x2 3-x if x2 f (x) = Find a)f (1) b)f (3) c)f (2)

A: Consider the given function for value of x≥2. fx=x2 Consider the given function for the value of…

Q: If f(x) = g(x) J. (Ax) + g(x)]dx= + 7 for 3<xs 5, then

A: givenf(x)=g(x)+7thenI=∫35[f(x)+g(x)]dxsubstitute value of f(x)I=∫35[g(x)+7+g(x)]dxI=∫35[2g(x)+7]dx

Q: 9. If (x-1)/(x) 3x²45x-2 X x²+2x 2x²-x-1 x² g(x) 6x²+x-1 find a relationship between f(x) and g(x).…

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Q: 1 - f(x) = =+ X 1 x+1

A: Our Aim is to solve f(x)=1x+1x+1-(i)

Q: 1. Given f(x) = x +3x-4 and g(x) = x- 1, x 1, find (x). A. x + 4 O B. x + 3 C. x+2 D. x +7

A: Given data is : fx=x2+3x-4 and gx=x-1 , x≠1   To find the value of fgx

Q: 2. Given f(x) = x' – x? - 5x – 3. which of the following is a factor of f(x)? 1. x - 2 2. x+ 2 3. x…

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Q: 1. If f(x) = x/(x − 1) and g(x) = 3/(x² − 1). Find the value of x for which (f + g)(x) = 1

A: Solving the problem

Q: 33. Find [g of ]x when f(x) = 2x + 4 and g(x)=x²-3x + 2. a. 4x² + 10x + 6. b. 2x² - 6x +8 c4x² + 13x…

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Q: 1. Suppose: f(x) = 2x + 5, g(x) = - x². a. Find g 8(S(x)) 'b. Is g(f(x)) one to one? Justify your…

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Q: 9. f(x) dx = 10 and 9. iven dx = -4, evaluate the following. %3D 9. (a) [f(x) + g(x)] dx 9. (b)…

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Q: 6. Suppose we don't know the formula for the function y = f(x), but we know that f(2)=-3 and that x²…

A: Given: f'(x) =  x2 / ( √1+x2 ) f(2) = -3

Q: Find x such that g(x)=8

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Q: 11. Solve for x S-2(x+1) 10.

A: Given: ----------------------------------------------------------------------   To find: value of…

Q: 1. Let G(x) = | V³ +1dt. (a) Is the FTC II needed to calculate G(4)? (b) Is the FTC II needed to…

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Q: 4. Given the table below for selected values of f(x), use 6 right rectangles to estimate the value…

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Q: dx Evaluate 2x 10 (b) o (c) 1/2 (d) 0 -

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Q: 1. Given f(x) is a one-to-one function with Df: [4,25] U (42,100] and Rf: (-o,-14], find the domain…

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Q: 7.If f(x)= 2x – 1 and g(x)= x² – 2x, find f(3)/g(2). -

A: Given fx=2x-1 and gx=x2-2x. To find: f3g2 Solution: Finding f3.  f3=2·3-1=6-1=5 Now, finding g2.…

Q: Scenario: 200 people were asked, “Who is your favorite superhero?” Below are the data.  Test the…

A: Given Information: 200 people were asked “Who is your favourite superhero?” Categories Observed…

Q: 9. f(x) = 2x-1 and g(x)= -3x Find f(-1) +8 %3D

A: