Let fxy (x, y) = 6 (x – y) , 0 < y < ¤ < 1 and fx (5) = 5 then E (Y|X = }) =

Q: x if x20 If Ax) = -x2 then f'(0) if x <0

A: Given function, fx=x2      if x≥0-x2   if x&lt;0

Q: -5x2 – 3 If f(x) = then f'(0) is 4х + 2 O - 3 О 13 O - 1/3 Оз

A: Solving the problem by obtaining the derivative.

Q: f(x) = 3x + 21, -3<x<0

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Q: Let h(x) = 3x² + x -x² + 3x - 3 what is h' (2)?

A: We need to find out h'(2).

Q: If f(t) = 9t+1, find f"(5). %3D

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Q: Find the derivative of the following function. y = In(6x² – 7x) – 4x А) 18х? -7х x(6х* - 7) В) 1 - 4…

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Q: Find the derivatives of the functions

A: The derivative of the given function can be found with the help of the one-time differentiation with…

Q: f(x) = In(5 + 4x)

A: Given: - The function is, f(x)=ln(5+4x) To find: - The derivative of the given function.

Q: Let f(x) = x2 g(x) = 2x-3 h(x) = Vx+1 %3D 5. (go f)(1) 6. (h o g)(5) 8. (f og)(x) 7. (g o h)(1)

A: Since you have posted a question with multiple sub-parts, we will solve first three subparts for…

Q: find the interverse of the fuction f (x)= 2x + 3/x-4

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Q: If f is the function f (x) = + 4/x, then f' (4)

A: The function is  f(x)=4x+4x

Q: If X~BET(1,2) then E(X)= (1 2/B (1/B

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Q: Compute the derivative of f(x) = (x² + 3)e7x+5. O (x² +2x+3)e7x+5 O 14xe7x+5 O (7x2 + 14x + 21) e7+5…

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Q: p(x) = x / 5 x = 1,0,1

A: Given, p(x) = x / 5 ;        x = 1,0,1

Q: Compute f(x)dx f(x) = { 2x if x <1 4 if x 21

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Q: find derivative of y y= (3x²-3x+1)³/2 (3/2)(3x²-3x+1)¹/2 (6x-3) none of the above (3/2)(3x²-3x+1)¹/2…

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Q: 6. Use the quotient rule to find the derivative x - Vx y x + Vx (а) 8x2+ 2x y = x - 1 (b) 4х — 1 (c)…

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Q: 3-5x 11. Find f'(x), if (i) f (x) = (x² – 1)(x5 + 2)+/3, and (ii) f (x) (x3+2)1/3*

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Q: The function f(x)=(1/(x+1))+4 is decreasing on what interval(s)?

A: Consider the function  fx=1x+1+4

Q: 4 Find f(x) dx if if x< 2 f(x) if x 2 2.

A: To evaluate the given integral

Q: Suppose X and Y are independent variables such that E[X] = 2, E[Y] = 3, E[X^2] = 9 and E[Y^2] = 15.…

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Q: f(x) = ex/³; [1₁3]

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Q: Sketch the following functions. Show all your work. N a) Domain b) Intercepts c) Symmetry d)…

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Q: Find ƒ′(x) if ƒ(x) = 15e3x

A: Given information: fx=15e3x

Q: If F(x) = f(g(x)),

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Q: (1) Let A={1,{2},{1,{2}}} (a)True or false: 2 € A, {2} € A, {{2}}CA, {1,2}CA, 3x(x € A^xA)

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Q: - Show that f(x)= E ƒ(x), where E is a constant and f(x)= e²x + e2x

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Q: 1-6 A function f is given on the interval [-7, 7] and ƒ is periodic with period 27. (a) Find the…

A: The Fourier series of a function fx over the interval -π,π with a period of 2π is…

Q: 7. 1. f(x) = 6 /x? - 20 x + 4 find f (4) (x). 收 .5 2. x-xy+y 3, find y".

A: 1) fx=6x23-20x45+7x57+4x6fx=6x23-20x45+7x-57+4x-16Differentiating with respect to…

Q: If f(x) = 1 – then f (F(F(x))) = then f (f(f(x))) = |

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Q: If f(x) = (2² + 5x + 3)“, then s'(#) - [ f'(x) -

A: To find the derivative of the given function, we need to use chain rule of differentiation and some…