A company estimates that the revenue (in dollars) from the sale of x doghouses is given by R(x) = 11,000 In (0.01x + 1). Use the differential to approximate the change in revenue from the sale of one more doghouse if 80 doghouses have already been sold. The revenue will increase by S if one more doghouse is made. (Round to the nearest cent as needed.)

Q: Find the average rate of change of g(x) : 4x – 4 from x = – 2 to x = 1. -

A: Given: g(x)=4x3-4

Q: The rate of growth, in dollars per year, of the net worth, f(t), of a company is given by…

A:

Q: Find the average rate of change of g(x) = - 3x + 4 from x = – 4 to a = 1. -

A: Given gx=-3x3+4We have to find average rate of change from x=-4 to x=1when…

Q: Givenf(x) = x°, use differential to estimate the value of (4.003). Give your answer correct to two…

A: Here we have to make linear approximation of the given function at a specific point suitable for the…

Q: Suppose that a vending machine service company models its income by assuming that money flows…

A: Put value in function

Q: The monthly output at the Olek Carpet Mill is Q(x) = 15,000 + 2x2 units,    (40 ≤ x ≤ 60) where x is…

A: Given,          The monthly output at the Olek Carpet Mill is Qx=15,000+2x2 units , (40 ≤ x ≤ 60)…

Q: b. Use the differential you've just calculated to estimate the value of 9.2

A: Given that y=x-4. We need to find i)dy when x=13 and dx=0.2. ii) we need to calculate the value of…

Q: What is the rate of change for h(x) = 8x - 9 on the interval [1, 4]?

A:

Q: Determine the differential of y for the function y=3ln(4x2).  Simplify fully.

A: To Determine: Differential of y

Q: In a certain culture of bacteria the rate of increase is proportional to the number present. a. If…

A: Explained below

Q: What is the millionth derivative of f(x) = e x ?

A: ex

Q: Solve for the 2"nd derivative of the function f (x) = 3x5 – 4x3 + 7x² – 10. a. 15x* – 12x2 + 14x b.…

A: Given: fx=3x5-4x3+7x2-10 To Find: 2nd derivative of the given function

Q: Find the average rate of change of g(x) 4x3 - 1 to x = 1. 2 from x -

A: our objective is to find the average rate of change

Q: Find the first Derivative complete solution. r= (3cot42θ-4)2/3

A:

Q: Use differentials to estimate the value of V1.3. Compare the answer to the exact value of V1.3.

A:

Q: Suppose in 2009, there were about 8 million Internet users in the Philippines. The number of…

A:

Q: doy= Ax²+ B Find the differential of the curve family.

A: Given curve is                                                    lny=Ax2+B we have to find the…

Q: 14. Find the rate of change of y= (2x' +6x +4) at x =-1.

A:

Q: the following equation. N(t) = 1.1375t2 + 0.25t + 4.6    (0 ≤ t ≤ 4) Here, t is measured in years,…

A:

Q: Use differentials to approximate the change in profit corresponding to an increase in sales (or…

A: Use the formulas below to evaluate dP and ∆P . dP=P'(x)dx∆P=P(x2)-P(x1) Here, dP is the approximate…

Q: nd the derivative of the function. (6 – x)5/4' x4/5 y = In

A: We will find the derivative.

Q: comparing the surface area of a sphere with its volume and assuming that air resistance is…

A: We will solve the following.

Q: Find the derivative of the function f(x) = – 2x1 + 5x – 7. A. -2x + 5 C. -2x? + 5 E. None of these…

A:

Q: In a certain culture of bacteria, the rate of increase is proportional to the number present. (a) If…

A: In a certain culture of bacteria, the rate of increase is proportional to the number present. We…

Q: Suppose a model for the surface area of a human body is given by S = 0.1094w0.425,0.725, where w is…

A:

Q: Solve for the derivative of the given equation below. x2+1 f(x) x2-1

A:

Q: A company estimates that the revenue (in dollars) from the sale of x doghouses is given by R(x) =…

A:

Q: Use differentials to approximate the change in profit corresponding to an increase in sales (or…

A:

Q: An accessories company finds that the cost, in dollars, of producing x belts is given by C(x) = 730…

A: The cost function is Cx=730+37x-0.062x2To find the rate at which average cost is changing when x…

Q: What is the anti-derivative of q(x) = 2e+5 3x 3 ? (Do not include the constant C in your answer.)

A:

Q: Find the differential of the function y=xex2.

A: Here the given function as Use the product rule of derivative which states

Q: Find the average rate of change of h(x) = x + 4x + 11 on the interval -1, 3]. O 15 60 O 51 -15 -5

A: Consider the following function: hx=x3+4x2+11 Average rate of change of hx on the interval -1,3:…

Q: Find the average rate of change of g (x) = 3x – 2x from x=3 to x=7. Simplify your answer as much as…

A:

Q: 350 1 For a company that manufactures tennis rackets, the average cost per racket is found to be C =…

A:

Q: Find the differential of the function. u = 3x4 + 4

A: The given function u=3x4+4

Q: Consider the following revenue function, where ? is measured in dollars. R(x)=110x-0.1x^2 a. Use…

A: Consider the following revenue function, where R(x) is measured in dollars. R(x)=110x-0.1x^2 a. Use…

Q: Find the derivative of the function. h(s) = −2√(5s2 + 3)

A: the given function is: hs=-25s2+3 we have to find the derivative of the given function.

Q: Find the implicit derivative given a³ – 2b² = 7ey

A: For the implicit differentiation, we take y as a function of x and a, b are constants. We are given,…

Q: Find the average rate of change of g (x) = 2x - 8x from x=2 to x= 6. Simplify your answer as much as…

A:

Q: The monthly output at the Olek Carpet Mill is Q(x) = 15,000 + 2x2 units,    (40 ≤ x ≤ 60) where x…

A: Given that the monthly output is Qx=15,000+2x2 units, where x is the number of workers. Find Q'52.

Q: Use differentials to approximate the change in profit corresponding to an increase in sales (or…

A: Please see the explanation below

Q: Find the average rate of change of g(x) 2x + 6 between x = 1 and x = 4 -

A:

Q: If f(x) = 12x2 − x3, what is the rate of change of f '(x) at  (−1, 13)?

A:

Q: Use differentials to approximate the change in revenue (in dollars) corresponding to an increase in…

A: dydx represent  rate of change in y with respect to x . i.e. how much y changes when x increase by…

Q: Find the average rate of change of from y = x³ - 2x + 3 from 0 to x = 3. -

A:

Q: if the rate of growth of the population of deer in a forest is modeled by R(t)= 2000e^(0.23t) deer…

A: The rate of growth of the population of deer in a forest is modeled by R(t)= 2000e(0.23t) deer per…

Q: Use forward-difference formula to evaluate the first derivative of y = x² + 4x – 5 at a = 0 using a…

A: The forward difference formula is : f'(x)=f(x+h)-f(x)hWe have to find the first derivative of…

Q: 7. If f (t) = -t2 + 5t + 3, describes the distance that a ball has traveled in meters, what is the…

A:

Q: Find the derivative ofe 11. D[(4x – 5)']

A: Given query is to find the derivative of thw expression.

Q: he differential to approximate the change in average cost per racket if production is (A) increased…

A: