(d) Suppose that the satifaction received from a number of rides taken on a roller coast(2x+1'is given by the function S(x) = 200 (**!)received and x is the number of rides taken.(1) Find the rate at which the satisfaction changes with respect to the0.53x+4,where S is the satisfactionnumber of rides taken.

Answered: Image /qna-images/answer/2cf0757a-2fa4-4869-a3eb-e35831a9aefe.jpg

Answered: (d) Suppose that the satifaction…

Trigonometry (MindTap Course List)

10th Edition

ISBN:9781337278461

Author:Ron Larson

Publisher:Ron Larson

ChapterP: Prerequisites

SectionP.6: Analyzing Graphs Of Functions

Problem 6ECP: Find the average rates of change of f(x)=x2+2x (a) from x1=3 to x2=2 and (b) from x1=2 to x2=0.

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Similar questions

Find the average rates of change of f(x)=x2+2x (a) from x1=3 to x2=2 and (b) from x1=2 to x2=0.
1. If the marginal revenue (in dollars per unit) for a month is given by MR = 0.3x + 450, what is the total revenue from the production and sale of the 50 units? 2.. Suppose the weekly revenue and weekly cost ( both in dollars) for a product are given by R(x)= 300x -0.001x^2 and C(x) = 4000 + 30x respectively, where x is the number of units produced and sold. Find the rate at which profit is changing with respect to time when the number of units produced and sold is $$50 and is increasing at a rate of 5 units per week.
Market research for a certain ice cream company indicates that if the price per cup of ice cream is $50.00, the demand will be 1200 cups, whereas if the price is increased to $60.00, the demand will be 1100 cups. Now, suppose it is known that the total cost of production of x cups of ice cream is given by C(x) = 3x + 25,500. (A) Find the value(s) of x at the break-even points. (B) Use marginal analysis to approximate the profit from the sale of the 500th cup of ice cream. Compare this value with the exact profit from the sale of the 500th cup.
The work force of a certain factory is growing at rate of 2 per month while the average productivity of a worker is growing at a rate of 4 units per month. If the work force is currently 100 and the average productivity per month is 200 units, at what rate is the total productivity per month of the factory increasing?
Suppose that the marginal revenue from the sale of x units of a product is MR = R'(x) = 3e0.01x. What is the revenue in dollars from the sale of 100 units of the product?
A hat manufacturer is planning to expand its workforce. It estimates thatthe number of hats produced by hiring x new workers is given byT(x) = – 0.25 x4 + 6 x3 0 ≤ x ≤ 18a) When is the rate of change of hat production increasing and when is itdecreasing?b) What is the point of diminishing returns (Hint: inflection point) and themaximum rate of change of hat production?
The U.S. Bureau of the Census prediction for the percentage of the population 65 years and older can be modeled as p(x) = −0.00022x3 + 0.014x2 − 0.0033x + 12.236 percent where x is the number of years since 2000, data from 0 ≤ x ≤ 50. 1. Determine the value of x in the domain 0 ≤ x ≤ 50 for which the percentage is predicted to be increasing most rapidly (Round your answer to three decimal places). 2. Thus, in which year is the percentage is predicted to be increasing most rapidly? 3. Calculate the percentage at that time. (Round your answer to two decimal places.) 4. Calculate the rate of change of the percentage at that time. (Round your answer to three decimal places.)
Suppose the Marginal product of labor in the economy is given by MPN= .002(16,000-N), while the supply of labor is N=1000 + 1000w. Find the market clearing real wage rate and level of employment. What happens to the wage rate and employment if wealth rises, reducing the supply of labor to N= 500 + 1000w? As in (a), what is the unemployment rate if real wage is 1 more than the equilibrium wage? (hint: solve the real wage and then add it by 1, then find the difference of quantity of labor supplied and demanded).
f(x) from initial value problem
find the value of x which gives the critical point.

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