Differentiate the following function. r(1) = (e!2e!-4e) %3D r(1)=

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: A new fast-food firm predicts that the number of franchises for Its products will grow at the rate…

A: We use substitution method to solve these integration

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

A:

Q: (1 point) Let f(x) = x² – 6x and g(x) = x – 6. Evaluate the following - %3D 1. (fo g)(x)= 2. (go…

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Q: O Find f(-1) if f(0) = 2, f(1) = 9, f(2) = 28, f(3) = 65, f(4) = 126, f(5) = 217. %3D %3D %3D %3D

A: As per given data we can write f(0)= 13+1 = 2 f(1)= 23+1 = 9 f(2)= 33+1 = 28 f(3)= 43+1 = 65 f(4)=…

Q: Let f(x) = 2x - 1, g(x) = 3x, and h(x) = x² + 1. Compute the following. %3D a. f(g(-3)) b.…

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Q: Let f(x) =x²-x -5 and gx)= -8x+4. Find g(3) and f(g(3)). %3D 9(3) = f(g(3)) = %3D %3D

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Q: (2) jubäi :Sketch the following function y = ; 1 .2 x² + x + 4 2.

A: y=12x2+x+4

Q: erify the result C(X"X) = C(X") for %3D x-(; ) X = -1 0 %3D

A: We have to solve given problems:

Q: . If f f() dr 17 and | f(x) dr = 8, find f(x) dr. %3D

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Q: If f (x) = 47x – 55, then %3D f-1(F(x)) = [ ? ]

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Q: If f(7) = 22, then %3D f(f-1(22)) = [ ? ]

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Q: Consider the function f(x) = Ax³ + Bx² + 5x. Find the values of A and B if f'(-2) = -3 and f" (-2) =…

A: f(x)=Ax3+Bx2+5x

Q: Differentiate the following function. 6x2 +5 y= x2 +1

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Q: Which of the following pairs of functions satisfies the equation (f o g)(x) : (g o f)(x)? * O f(x) =…

A: A composite function is a function which is obtained when a function is substituted into another…

Q: C. Graf the function of y-5x" if n=3 1. O 1 O 2 2. yax' LEVIC

A: Given data Graph the function y=5xn Where , n=3

Q: e domain of

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Q: Let f(x) = x² + 4 and g(x) = 4x + 3. Evaluate the following: %3D %3D 1. f (g(0)) = %3D 2. f (g(1)) =…

A: Given that, fx=x2+4gx=4x+3

Q: The domain of function x) = In(2– x) is %3D

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Q: Select the function that is O(2n)?

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Q: a. Find the derivative. p Find the derivive b. Find equation of the tangent line at the point (2,…

A: Given:- y = (2x+1)/(x-1)  To find:- a. Find the derivative.   b. Find equation of the tangent line…

Q: Find the domain of the following functions: 6. a. f(x)=3x*-7x +x-3 7x b. g(x)= х-4 %3D 7x h(x)3D…

A: The given functions are –

Q: С. -5- i.) f (3) = %3D 4-+ ii.) If f(x) = 2 , then x = or %3D 2- -2- %24

A: