Given f(20) = 6, g(20) = 10, f'(20) = – 16, gʻ(20) = 15. Answer the questions below: %3D %3D a) k(x) = 16f(x) – 9g(x) k'(20): b) k(2) = 3f(x)g(x) k' (20) = f(z) c) k(x) = 6 + g(x) k' (20) =

Q: (a) ƒ (x): 15z100 3z + 5z – 46 „12 %3D

A: The given function is  f(x) = 15x100 - 3x12 +5x - 46

Q: b. (3x2 – 2y²)y' = 2xy; when x = 0, y = -1. Note: use y = XV

A: We need to solve differential equation.

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: Suppose the point (5, a) lies on y = f(x), the point (b, c) lies on y = g(x) and the point (2, -8)…

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Q: Let f (x) = 3x – 1 and g (x) = (x + 1). Find each of the following values. A. (f o g) (–1) = B. (g o…

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Q: f(x)dx = f(x)dx =7, then | f(x)dx = If 4 and

A: If ∫23f(x)dx=4 and ∫35f(x)dx=7 then ∫52f(x)dx=-11

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: f(-4) = 3, f'(-4) = 3, g(-4) = 4, gʻ(-4) = 8, calculate the following: (fg)'(-4) = (f/g)'(-4) =…

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Q: iv) z, = ei01 ,Z2 = el62 then z,. z, = ei(81-02)

A:

Q: Given f(x) dx = 18 and g(x) dx = 6, evaluate the following. %3D %3D 3 (a) [f(x) + g(x)] dx 3 (b)…

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Q: A. FUNCTIONS 2 Given f(x) = 3x – 2 and g(x) =+, find each of the following: 3 (a) (f o g) (x) (b) (g…

A: If f(x) and g(x) are real valued functions then  (fog)=(fog)(x)          =f(g(x)) (gof)=(gof)(x)…

Q: Please

A: Recall the derivative formula: Derivative of xn = nxn-1

Q: Suppose that 6 f(x)dx = -15.7, ´ f(x)dx = 15.8, " g(x)dx = -11.4, and 8(x)dx = -1.6. %3D %3D Then…

A: Integration

Q: 1 (a) dx + 25x2 4 -

A: Note: - Since you have asked multiple questions, we will solve the first question for you. If you…

Q: Given f(x) = 2x + 1 and g(x)= Vx- 3 + 2, write equations for the following functions. %3D С. g'(f(x)…

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Q: (1 point) Let f(z) = r² – 6x and g(x) = x-6. Evaluate the following: %3D %3D 1. (fo g)(z)= 2. (go…

A: Consider the functions f(x) = x2 - 6x and g(x) = x - 6 If f(x) and g(x) are the two functions then…

Q: The inverse function of f(æ) = 4x° + 2 is %3D 1(2) = %3D

A: The given function is: f(x)=4x5+2 Now rearrange the given function and write x as a function of y.

Q: Given the function f(x) = 6x² – 4æ + 1. Calculate the following values: f( – 2) = f( – 1) = %3D f(0)…

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Q: If y = x²+2 then y' at æ = 1 Is equal to %3D Select one: a. 3 b. C. d. -3

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Q: Consider the functions: Ax) = x+ 2 %3D g(x) = 3x What is the value of (f g)(2) ?

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Q: (d) (x2 + y²) dx – 2xydy = 0 (e) y' + 2xy = 10x (f) (y – 1) sin xdx – dy = 0 -

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Q: Define what it means by for y f(x) dx

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Q: ALL WORK MUST BE SHOWN Let f(x) = 2x - 1, g(x) = 3x, and h(x) = x² + 1. Compute the following. a.…

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Q: If P(A) = a and P(B) = b, then show that P(A/B) > (a + b - 1)/b.

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Q: Given the following functions, find each of the values: f(x) = r' + 4x – 5 g(x) = 2 - 1 (f+ g)(5) :…

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Q: Given f (x)= 2x +1 and g (s3)=x*+2x-1, find (I+g) (3).

A: (f+g)(x) = x2+4xexplanation is given below

Q: f (x) = -5 x2 %3D f' (a) = 10 %3D a =

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Q: Q.1: Find f(A), where f(x) = x³ – 2x² – 22.

A: Given: f(x)=x3-2x2-22 To find: f(A)