Suppose C(x), R(x), and P(x) are the total cost, revenue, and profit of producing items. Match the descriptions to the functions. 1. C(x) = 2. R(x): = 3. P(x) 4. C'(x) 5. R'(x) 6. P'(x) = C(x) x R(x) X P(x) x

Q: A total-cost function is given by C(x) = 1700(x² +5)¹/³ +800 where C'(x) is the total cost, in…

A: the given cost function C(x)=1700(x2+5)(1/3)+800 , for the production of x airplanesrate of change…

Q: 21) Determine f(x) if f(x) = 3x – 5. %3D

A:

Q: 5 17. The marginal profit function for a company can be modeled by P'(x) = - 5x+3 thousand units…

A:

Q: 2. [4 points] Find the derivative of the following function. 1+2x f(x) 3-4x

A:

Q: 3. (a) Which of the following functions have 5 in their domain? f(x) = x² - 3x *- 5 h(x) = Vx - 10…

A:

Q: A calculator company found that the cost of producing x graphing calculators per day is C(x) = 4x +…

A: a) Revenue = price x quantity sold R(x) = 80 x

Q: 3. When is the function increasing and when is it decreasing? f(z) = re==z3)? xe 2 f(x)=xe 4X2)

A: Solution:

Q: 2. Find the derivative of f'(x) if ƒ(x) = x*+3x-V x2+x

A:

Q: 9. The rate at which the value, V, of a painting changest years after it is completed is given by…

A: Image is attached.

Q: The marginal cost of producing the xth box of CDs is given by 12 - x/(x2 + 1)2. The total cost to…

A:

Q: 1. Suppose we want to track information about the size of a round puddle as it rains. Let f(t) be a…

A:

Q: The marginal cost of producing the xth box of CDs is given by 9 - x/(x² + 1)2. The total cost to…

A: Given that: C'x=9-xx2+12. The cost for 2 boxes is $1200. The cost function is obtained by…

Q: 2. 3 Determine f'(x) and simplify. f(x) = (3x² - 4x) (2x - 3) ³

A: Topic = Derivative

Q: 10. Find function that satisfies the given conditions: f"(x)=6x³-3x+4, f'(1)=-3, f(1) = -6

A: The function satisfies the condition f''x=6x3-3x+4, f'(1)=-3, f(1)=-6 use the integration formulas,…

Q: The daily profit function in dollars for a food truck given by the function P(x)=7(x^2-600)^1/3-26…

A:

Q: 35. Estimate any extrema of the function given by g(x) = x3 – x3.

A: The extrema of a function are the maximum and minimum values of the function. To find the critical…

Q: 6. FinD F(S) if f(t)= t· cost

A:

Q: Find the marginal profit when (a) x= 300, (b)x=2000, (c) x=6000, and (d) x = 12,000. (a) When x =…

A: Given P(x) = 0.06x ^ 2 - 3x + 7x ^ 0.4 - 5100 P(x) = 0.06x ^ 2 - 3x + 7x ^ 0.4

Q: Sketch the following functions. Show all your work. N a) Domain b) Intercepts c) Symmetry d)…

A:

Q: Find ƒ′(x) if ƒ(x) = 15e3x

A: Given information: fx=15e3x

Q: 1. f(x) = 4x - 17

A: As per our guidelines we are suppose to solve only first question if the multiple questions are…

Q: 1-6 A function f is given on the interval [-7, 7] and ƒ is periodic with period 27. (a) Find the…

A: The Fourier series of a function fx over the interval -π,π with a period of 2π is…

Q: 2. Find the x-intercepts for g(x)= 3x² -12x² - 36x

A: To find the x intercept we have to put y = g(x) =0