The marginal revenue function is MR = 42x + 700, then the revenue function is %3D Select one: O a. R(x) = 42x² + 700x %3D O b. R(x) = 21x² + 700x + k %3D 700 Oc R(x) = 42 + O d. R(x) = 21x² + 700x %3D

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

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

Q: 15. Given the fumctions a(x) = x² + 2x- 1 and b(x), shown on the graph below, find P(x), where P(x)…

A: Given:  a(x)=x2+2x-1. b(x)=x+3. Determine the function P(x).…

Q: Determine f (x) for the following function. f(x) = Vx- 5-1 %3D

A: Solve the given function

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A:

Q: Suppose that f(x) = (x - 4)*.

A: At the point of inflection, f''(x)=0.

Q: Find where the function is increasing. 2 y = x² - 3lnx, (x > 0)

A:

Q: Let f(x) = V2 - x+ 8. Determine f-(x) and the the domain of f(z). f(x) = %3D Domain of f-(æ) =

A:

Q: f(x) = Va +9 – 10.

A:

Q: 22 Which value of x is NOT in the domain of the function f(x) %3D 11x 33 -

A:

Q: which shows the function f(x)=7x after a vertical translation down 4 units

A:

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

A:

Q: f(x) = 1– 2x +xs

A: Given, function f(x)=1-2x+1/3x^5 By using the formula of differentiation d/dx(x^n)=nx^(n-1)

Q: Find the linearisation of f(x) = 4√x at a = 16. Use this to estimate 4√ 15

A:

Q: g(x) = v2 – 3x %3D

A:

Q: Given a revenue function R(x)=1,000+x2−e2x, calculate the average revenue when x=3. Give your…

A: Given: Revenue function given by: R(x) = 1000 + x2 - e2x To Find: Average Revenue when x = 3 Formula…

Q: Given the following function notations, find h(x) = f(x) + 2g(x). * f(x) = 7x – 5x + 2 and g(x) =…

A: Given the following functions                                      f(x)=7x3-5x+2  and  g(x)=3x2-1…

Q: Let f(x) = 8 – 5x + 11x. Calculate the following values: %3D f(a) = f(a + h) = f(a + h) – f(a) for h…

A:

Q: a. Find ux b. Find uy C. Show that u satisfies the partial differential equation xux + yuy = 3u. %3D

A: In this question we have to find differentiation for the for the following question.

Q: Let f(x) = x² 4. Find f(3 - V13) – 6x – . %3D

A: Given:            fx=x2-6x-4 Find; f3-13 f3-13 =3-13 2-63-13-4 Simplify using : a-b2=a2-2ab+b2 3-13…

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

A:

Q: The profit function of a company is P(x) = x² – 400x + 40000, then the break-even poi is %3D

A: The break-even point point occurs when the total revenue is equal to the cost. At that point, the…

Q: Find f if f"(x) = 4 – 6x, f(0) = 3, and f(2) = -2. %3D Answer: f(x) =|

A: f"(x) = 4 - 6x , integrating the equation  Using the formula ∫ xndx = xn+1n+1 ∫ f''(x) dx = ∫ 4 dx -…

Q: Show two ways to differentiate ƒ(x) =

A: The function f(x)=1x10. We have to differentiate this function.

Q: Let f(x) = 1. x+ 8 |3D f-(- 8) %3D

A:

Q: What is the domain and range of the attached function:

A: We are given the function

Q: Suppose that f(x) = 6x + 7x 2. Evaluate each of the following: %3D

A: Here we have f(x)=6x-4+7x-2 .................................. (1)  Differentiate with respect to x,…