Average Cost Jester Sports manufactures tennis rackets. The total cost of producing a rackets per hour is given by C(x) = 0.48 x² + 4.0x + 434. C(x) The average cost per racket at production level à rackets per hour is C'(x) = X Use differential approximations to estimate the change in average cost per racket if the production is increased from 20 per hour to 24 per hour. Round to the nearest cent. $ per racket NOTE: Your answer may be negative.

Q: Practice question

A: To find f′(1) given that f(x)+x2[f(x)]3=10 and f(1)=2, we will use implicit differentiation. Given…

Q: Estimate the instantaneous rate of change of y(x) 4 at the %3D x+ 1 point x = - 2

A:

Q: Differentiate. F(x) = (7x2 - 6x)e* f'(x) =

A: According to question given:f(x)=7x2-6xexWe have to calculate f'(x)

Q: Find the instantaneous rate of change of f(x) = 2x² - 8x + O 16 O -8 -16 O-14 8x+1 when x = -4.

A:

Q: Physicists have found a particle moving along a line defined by the function (v). What is the total…

A: Given:- Velocity function for particle v(t) =-2t2 -2t+4 To find:- Total distance particle moves from…

Q: 2a5 Given that f(x) = and values h(-1) =-3. h'(-1) = 7, find f(-1) AND f'(-1). h(x) %3D Show your…

A: f(x)=2x5h(x), and values h(-1)=-3, h'(-1)=7

Q: Let f(x)=2x+1, find f(a), f(h +a), the net change, and the average rate of change. I found…

A:

Q: If F(x) = f(g(x)), where f(-5) = 9, f'(-= 7, f'(4) = 2, g(4) = -5, and g'(4) = 4, find F'(4). %3D…

A:

Q: A total cost function (in dollars) is given by C(x) = 569 + 3x + 0.89x². Use differentials to…

A:

Q: Find the relative rate of change of f(x) = 12 +2e-2x The relative rate of change of f(x) is

A: The objective of this question is to find the relative rate of change of the function f(x) = 12 +…

Q: F(x)=8x-2; X=2, x=3 How do I find the average rate of change and net rate

A: Given that F(x)=8x-2; X=2, x=3  To find the average rate of change and net rate

Q: The equation of the tangent line of f(x) 3 e* at x = 0 is %3D y

A: We have to find the equation of the tangent line of the given function at the given point   The…

Q: Explain why Rolle's theorem does not apply to the function even though there exist a and b such that…

A: We are authorized to answer one question at a time, since you have not mentioned which question you…

Q: V/2x+3) (x²+1)" 17. f(x)=-

A:

Q: The monthly cost for a company that sells designer shoes is given by where C' is the cost, in USD,…

A: Given, .Where C is the cost in USD and x is the pair of shoes sold each month.

Q: (e) Using ti = 4 and t₂ = 6, apply five iterations of the Bisection Method to find the value of c…

A: