2 0.1 0.1 0.2 What is E(X | Y = 0), E(X | Y = 1), E(X|Y=2) ?

Q: Part 1 1. If f(0) = g(0) = 0 and f" and g" are continuous, show that ff f(x)g"(x)dx= f(a)g'(a) — ƒ…

A: I have given the answer in the next step. Hope you understand that

Q: 5 Let f(x) = r I+1 f'(I) - B.

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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.…

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Q: Question 4. Find f/ (x). (a) f(x) = xsinx (b) f(x) = sech-1x²

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Q: The function g(t) = \t| is differentiable at 0. True False

A: Given that g(t)=|t|We can write it as:g(t)=t   , t≥0-t , t<0

Q: f (x) = 5.6 sin (2.6x – 4.2) – 9.1- What is the equation of the midline of the function %3D o y =…

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Q: Let F(x) = f(f(x)) and G(x) = (F(x)) You also know that f(9) = 11, f(11) = 2, f'(11) = 2, f'(9) = 8…

A: Solution of question is written in below steps.

Q: Q9 Given g(2) = 3 and g'(2) = 5. Evaluate f'(2) where f(x) = 5g(x) (a) 15 (b) 0 (c) 25 (d) 10

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Q: If f(x) = >(1- (sinx)*)" .Determine the value of f (G) (b) (c) 3 (a) (d) 4 (е) None a 4 /3 1/3

A: I am going to solve the given problem by using some simple calculus to get the required result.

Q: Differentiate the function. ((5y + 1)3 Vy2 + 1 G(y) = In G'(y) =

A: Solve the following question

Q: 6. If /f(2)dæ = (x + 5)*eª + ln(|æl) + C, what is f(x)?

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Q: 5x * Example (4): Evaluate dx (х - 1)(х — 2)(х + 3) |

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Q: Given that f'(x) = 4x(x² + 8)¬1/3 and f(0) = 0, find the function f(x).

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Q: Example 13: If Jf(x)dx =-3, )dr=9, and f(x)dx 5, find %3D

A: given∫4-6f(x)dx=-3,∫37f(x)dx=9∫47f(x)dx=5to find∫-63f(x)2-3dx

Q: 2x + 3 If f(x) = then x – 2 dy / (x – 2)² dx ||

A: fx=2x+3x-2

Q: 15 .3 Suppose f(x) da = 2. f(x) da | f(x) da = 5. What is | f(æ) da? 3, and -8 -10 10

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Q: dx x³+; |dx, then A + S, g(x) dx is equal to %3D ....

A: We have, ∫x2-1x3+xdx=∫Ax+g(x)dx Here, the given integral can be rewritten as,…

Q: 6. FinD F(S) if f(t)= t· cost

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Q: 7. Suppose fis an odd function, f(x) dx = 2 and | f(x) dx = 7. Evaluate f(x) dx.

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Q: 18 13 f(x) dz - f(x) dx = f(x) dx where a = and b =

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Q: If f(x)=xcos x , then f'(E) equals +1 (e) 1-2 (b) (a) 2 (d) (e) none of these - 2

A: Given  f(x) =x  cosx Find: f'π2 Solution: Formula: ddx(uv) =udvdx+vdudx       ---------------(1) Let…