Consider the function ƒ(x) = 5x¹⁰ + 3x6 – 8x² – 6. An antiderivative of f(x) is F(x) = Ax" + Bxm +Cx² + Dx⁹ where A is and n is and B is and m is and C is and p is Р and D is 110 00 00 and a is

Q: 4. What function is y = x3 + 2r + 1? * O A. Linear Function O B. Polynomial Function C. Quadratic…

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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: H.w Exl Let f(x)= 4x+2X+243and go)=3x+3x+3xx +4, where 2. t. f(x),900€75LX] Compute POX) +g (x).and…

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Q: Find the extrema of f (x) = 2x3 − 15x2 + 24x + 7 on [0, 6].

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Q: Suppose that while driving a car, the driver suddenly sees an animal standing in the road. The…

A: Solution : Given    D(v)=13/10 +1/2 Where D(v)àdistance , v àspeed Compare equation with y=mx+c

Q: 3.lf g(x)=x* – 2x³ – 7x2 + 8x + 16, find f(3).

A: Given that, fx=x4-2x3-7x2+8x+16 We have to find f(3).

Q: Consider the functions, h(x) = 3x – 7 and k(x) = . b. Find h(k(x)) X+7 | a. Find h(k(- 2)) c. Find…

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Q: Find f(x) and g(x) such that h(x) = (fog)(x). 4 h(x) = (6x+3)* Choose the correct pair of functions.…

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Q: √(√x − 2 csc xcotx + 1) dx is equal to 3 2x 2 3 3 2x 2 3 3 2235734 2x 3 3 2x 2 3 + 2 csc x + ln x +…

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Q: Find the linearization of f(x) =2x² + 4x – 3 at x= -1

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Q: Let f(x) = x2 + 2x – 1 and g(x) = 2x – 4. Find 2f(x) – 3g(x). 2x2 — 2х — 14 -3x2 – 2x – 1 Option 1…

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Q: The functions u and w are defined as follows. u (x) = -2x-1 w (x) = 2x²-2 Find the value of u (w…

A: u(w(3))=-33

Q: 4. Evaluate the functionf(x) = x² + 1 and g(x) = x - 4. Find a. (fᵒg)(3) b. (gᵒf)(1)

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Q: 2. Find (fo g)(x), (g o f)(x) and the domain of each new function. a. Let f (x) = 4x² – x + 10 g(x)…

A: Here, we have given some functions and we have to find composite function and domain of these…

Q: Find functions f and g so that fo g=H. H(x)=√x² +12 Choose the correct pair of functions. O A. f(x)…

A: We have given a composite function  f○g=H Hx=x2+12 Checking pairs (f○g)x=fgx Afx=x , gx=x2+12…

Q: . Let f(x) = x² + x + 3, g(x) = 5x + 3 and h(x) = 2x² – 4x + 1. Find the following: d. (fo h)(-5y)…

A: Composition of the function

Q: 1. A quadratic function is defined by f(x) = 2x + 6x - 20. Which of the following expresses f(x) as…

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Q: Let f(x) = V3x + 9 and g(x) = 2x+ 6 find fog(x) and gof (x).

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Q: If f(x) = 2 + 3x – 4x², determine the value of the dependent variable f(5) – f(3). Show your work.

A: We can solve the problem by putting the value 5 and 3 in the given function.

Q: If f(x) = V5x – 3, find f-1(x).

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Q: . Let f(x) = x2 + x + 3, g(x) = 5x + 3 and h(x) = 2x2 – 4x + 1. Find the following: a. f(4x) b.…

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Q: 7. Use the chain rule to differentiate the following functionswith respect to x. (a) y = √√√9 – 4x²…

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Q: Let f(x) = 6x2 – 8x + 10. Which of the following functions is most like f(x)? d)k(a) = 3a? – 8a + 10…

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