Calculus
7th Edition
ISBN: 9781524916817
Author: SMITH KARL J, STRAUSS MONTY J, TODA MAGDALENA DANIELE
Publisher: Kendall Hunt Publishing
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Chapter 5.9, Problem 38PS
To determine
To find: The value of the
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2. The weekly marginal cost of producing x pairs of tennis shoes is given by
C'(x) = 12 + 500 / x+1
where C(x) is cost in dollars and x≥0.
(a) Find the cost function if the fixed costs are $2,000 per week.
(b) What is the average cost per pair of shoes if 1,000 pairs of shoes are produced each week?
In Problems 41–44, find the average rate of change of f from 0 to π/641. f(x) = tan x
42. f(x) = sec x
43. f(x) = tan(2x)
44. f(x) = sec(2x)
f(x) from initial value problem
Chapter 5 Solutions
Calculus
Ch. 5.1 - Prob. 1PSCh. 5.1 - Prob. 2PSCh. 5.1 - Prob. 3PSCh. 5.1 - Prob. 4PSCh. 5.1 - Prob. 5PSCh. 5.1 - Prob. 6PSCh. 5.1 - Prob. 7PSCh. 5.1 - Prob. 8PSCh. 5.1 - Prob. 9PSCh. 5.1 - Prob. 10PS
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- Find the marginal revenue function. R(x)=x(26−0.09x) R′(x)=arrow_forwardSuppose the demand function for a product is given by the function:D(q)=−0.02q+80Use integration (or other appropriate methods) to find the following: (Do no rounding of results until the very end of your calculations. At that point, round to the nearest tenth, if necessary. It may help you to sketch the demand curve, which crosses the horizontal at q=4,000) The "Not Sold" value corresponding to q=3, 350 units:arrow_forwardSuppose you are climbing a hill whose shape is given by the equation z = 1000 −0.005x^2 −0.01y^2 where x, y,and z are measured in meters, and you are standing at a point with coordinates (60, 40, 966). The positivex−axis points east and the positive y−axis points north.If you walk northwest from point P, will you start to ascend or descend? At what rate? To answer this, do I need to make my function f(x,y) and then take the gradient, or do I need it to be f(x,y,z) and then take the gradient?arrow_forward
- A company is considering a new manufacturing process in one of its plants. The new process provides substantial initial savings, with the savings declining with time x according to the rate-of-savings function S'(x)=200-x^2 where x is measured in years and S′(x) in thousands of dollars per year. At the same time, the cost of operating the new process increases with time x according to the rate-of-cost function (in thousands of dollars per year) C'(x)=0.3x^2+20/3x a. to maximize savings, for how many years should the company use the new process? b. Use Desmos to check your answer from part (a): Build up a graph and shade the appropriate area that corresponds to the maximum savings. c. What is the net savings 8 years after the process has been implemented? 12 years after? d. Use Desmos to check your answer from part (c): Build up a graph and shade the appropriate area that corresponds to the maximum savings.arrow_forwardCan imaginary number or value be a critical number? It seems in the graph that there's no significant change as the function passed through critical number that has imaginary value.arrow_forwardSuppose a company has fixed costs of $12,300 and variable cost per unit of $0.20 x+128 dollars, where x is the total number of units produced. Suppose further that the selling price of its product is 236 − 0.8x dollars per unit. Give the functions for Revenue, Cost, and Profit: R(x) = C(x) = P(x) =arrow_forward
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Publisher:Cengage Learning
Thomas' Calculus (14th Edition)
Calculus
ISBN:9780134438986
Author:Joel R. Hass, Christopher E. Heil, Maurice D. Weir
Publisher:PEARSON
Calculus: Early Transcendentals (3rd Edition)
Calculus
ISBN:9780134763644
Author:William L. Briggs, Lyle Cochran, Bernard Gillett, Eric Schulz
Publisher:PEARSON
Calculus: Early Transcendentals
Calculus
ISBN:9781319050740
Author:Jon Rogawski, Colin Adams, Robert Franzosa
Publisher:W. H. Freeman
Calculus: Early Transcendental Functions
Calculus
ISBN:9781337552516
Author:Ron Larson, Bruce H. Edwards
Publisher:Cengage Learning
01 - What Is A Differential Equation in Calculus? Learn to Solve Ordinary Differential Equations.; Author: Math and Science;https://www.youtube.com/watch?v=K80YEHQpx9g;License: Standard YouTube License, CC-BY
Higher Order Differential Equation with constant coefficient (GATE) (Part 1) l GATE 2018; Author: GATE Lectures by Dishank;https://www.youtube.com/watch?v=ODxP7BbqAjA;License: Standard YouTube License, CC-BY
Solution of Differential Equations and Initial Value Problems; Author: Jefril Amboy;https://www.youtube.com/watch?v=Q68sk7XS-dc;License: Standard YouTube License, CC-BY