3 The antiderivative of the function f(x) = + 9x is x2 -3 4.5x2 + c 3 + 18.0a? + c 6- + 1.5x + c 3 + 4.5x2 + c - -3 + 4.5x2 + c O O O

Q: 1. Differentiate the function f(x) = (x² – 5)(x³ – 2x + 3) | x2 +1 2. Differentiate the function…

A: I have stated the used formulas in the solution.

Q: Let m(x) = 2x² - ax - 2 and n(x) = bx² + 2x + 5. The functions are combined to form the new function…

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Q: Let f(x) = Vr - 5, g(x) = , h(a) = , Find go((gof)+h(x)) at x=-1? 2-9'

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Q: 9. Given the functions /(x) = 2x + 5 and g(x) = x? – 4, find (4) x. b. C. d. 2x-5

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

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: 4. f(x) — бх — 4 X бх — 4 f(x)

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Q: the function f(x) = k(x - s)(x - t)(x - u)^2 has: * O 3 zeros O 4 zeros O no turning points O 4…

A: Zeros of a function are those points where function has value zero. Hence f(x)=0 implies…

Q: find 1- 2x f(x). 3 12). f(-2), f). fla), f(-а). f(la — 1)

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Q: Let f(x) = - 4x+ 15 and g(x) =x² +14. Find f(5)- g(5). (5) - g(5) =|

A: Given that: f(x)=-4x+15g(x)=x2+14

Q: f(x1, x2) = xỉ + 2.x1.x2 – 10x1 + 5x2

A: According to our company policy,  I am supposed to answer only one question at a time. For the rest…

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: 3xy (x + 1) = 3x²y + 3xy O True O False

A:

Q: Ex: f(x) = 3x+8 and g(x)=2x-1 Find (f/g)(x). 3x+8 2x-1' 13 24 2x-1 3x+8' 2x-1 3x+8' 80 x # 1/1/2 x =…

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Q: 2x-3 Let f(x)= Compute (1 -i/2). (1 – i/2)=

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Q: 16. Given the functions f(x) = (x - 3)² and g(x) = -x + 2. Which function represents the combined…

A: Let f(x) and g(x) be two polynomial,  then the difference f(x)-g(x) is given by simply subtract the…

Q: 10. Let f(x)= 3x + 8 and g(x)= x - 2. Find f(g(x)). a. 2x + 3 b. 2x - 3 c. 4x + 1 13 d. 3x + 2

A: As per our guidelines we are supposed to answer only one question. Here question 10 answered.

Q: 2x+ 1 Let f(x) = Compute f (2). 3x - 2 O A. 0 O B. -2 OC. 1 O D. 1 3 O E. 2 3.

A: Just I have used the quotient rule of derivative and easily find the required solution. Option (B)…

Q: III. Subtract the first function from the second function. 1. f(x) = 2x + 1 and g(x) = 3x - 4-X-5 2.…

A: Quetion III,Part 1,Given,            fx=2x+1 and gx=3x-4To find ; Substract the first function from…

Q: Let f (x) = /2x +1 and g (x) = /2x – 1. Find h (x) =f (x) × g (x). %3D | a) h (x) = V4x² – 1 %3D - O…

A: Given f(x) = 2x+1g(x) = 2x-1

Q: x²+2x Evaluate J x+1)² 17. C. +1+C A.x ++ C x+1 x+1 B. D. + 2x + C + C x+1

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Q: B. Given f(x)= 4x + 3, find f(x+h)-f(x) 1. f(3) 2. f(-3) 3. f(a + 1) 4. f(x + h) 5.

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Q: x2 (C) S²_₁₁√x+2 -1 dx

A: To find ∫-17x2x+2dx

Q: 2. State why the function f(z) = 2z²-3-ze²+e-² is entire.

A: Introduction: Every complex valued function corresponds to a power series. The convergence of power…