Let f(x) = (16/31)(1/2)* for x = 0, 1, 2, 3, 4 %3D %3D a) Find F(x) b) Find E(X) c) Find Var(X)

Q: Find the second derivate of f(x) = 4 + 3e-* %3D A 3e* F 3e* C -3 -3e-* 9e-* H -9e-*

A: To find the second derivative of the following function f(x) = 4 + 3e-x

Q: Let f(x) = V9x – 10 . Determine f-(x). f-(x)%3D

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Q: 1. %3D If f (x) = x² – 12 and g(x) = x + 4 find f (g(x)).

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Q: The function f(x) = 2x + 6x? - 5x + 1 is concave upward on the interval O None (-0, c0) (-1, c0)…

A: Given, y=f(x)=2x3+6x2-5x+1 In this we have to find differentiation of function till when all the…

Q: Evaluate the composite function given that f(x) = 3x +5 and h(x) = Vx+3. (fo h)(6) (fo h)(6) =…

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Q: 4 -2 f(x) = -5x* + 2 + 3x %3D differentiate each function with respect to x

A: Differentiate with respect to x.

Q: 2x²-3x+7 7. Let f(x) = _ Find f(3). 5x2-2x

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Q: Let f(x) = - 4x- 1, h(x)= - X- 3. | Find (fo h)(4). (f o h)(4) =

A: Given  f(x)=-4x-1h(x)=-x-3 to find foh(4)

Q: pemplicit derivativeg 3 find y' if y is a function of x .

A: topic - implicit differentiation

Q: 1. How to define the function, f(x, y) = 15x+4x*y+15y 3x+3y to make it a continues function?

A: We have to find the given function is continuous.

Q: Given f (x) = – 1) x- 1 find f(2 a) %3D (x² + 2)

A: Given function

Q: Find y as a function of x if x*y" + 11xy + 25y = x', y(1) = -4, y(1) = 0. y =

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Q: Find three functions f,g,h that satisfy: f(g(h(x)) = 2

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Q: g(x) = v2 – 3x %3D

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Q: Find the directional derivative of f at the point (1,2) in the direction of the vector v = = (1, 3).

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Q: Find the derivative of (x+1)³ X A. B. C. D. (X+1)² X (x+1)³ X 4(x + 1)² 2(x+1)³ X X 2(x+1)³(x+1)³ X…

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Q: Which of the following functions are NOT differentiable? * O f(x) = 1066 %3D O f(x) = |x| O(x) = mx…

A: Function which is not differential

Q: 2. If f(x) = , and g(x) = 4, find the following I-6' function. Simplify your answer. f(9)a)) = %3D…

A: To find the function f(g(x)).

Q: Let functions f(x) = [x] g(x) = [x] %3D %3D (gof) -(fog) 3. %3D 3.

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Q: Differentiate the following function. 6x2 +5 y = x2 +1 dx (x² + 1)< dy (x² + 1) • : (6x² + 5) + (6x²…

A: You just need to apply quotient formula in order to solve this.

Q: For the function f(z) 2(x – 5) + 7, which of these equations describes f '(r), the inverse of the…

A: We wil use concept of inverse function to find the answer.