Applied Calculus
Applied Calculus
7th Edition
ISBN: 9781337291248
Author: Waner, Stefan.
Publisher: Cengage Learning,
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Concept explainers

Unitary Method
The word “unitary” comes from the word “unit”, which means a single and complete entity. In this method, we find the value of a unit product from the given number of products, and then we solve for the other number of products.
Speed, Time, and Distance
Imagine you and 3 of your friends are planning to go to the playground at 6 in the evening. Your house is one mile away from the playground and one of your friends named Jim must start at 5 pm to reach the playground by walk. The other two friends are 3 …
Profit and Loss
The amount earned or lost on the sale of one or more items is referred to as the profit or loss on that item.
Units and Measurements
Measurements and comparisons are the foundation of science and engineering. We, therefore, need rules that tell us how things are measured and compared. For these measurements and comparisons, we perform certain experiments, and we will need the experime…
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Chapter 4.5, Problem 112E

Cellphone Revenues The annual revenue for cellphone use in China for the period 2000–2005 was projected to follow the equation60

R ( t ) = 14 t + 24  billon dollars inyear t. ( t = 0 represents2000.) At the same time, there were approximately 68 million subscribers in 2000. Assuming that the number of subscribers increases exponentially with an annual growth constant of 10%, give a formula for the annual revenue per subscriber in year t. Hence, project to the nearest dollar the annual revenue per subscriber and its rate of change in 2002. (Be careful with units!)

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Chapter 4 Solutions

Applied Calculus

Ch. 4.1 - In Exercises 1-10, use the shortcut rules to...Ch. 4.1 - Prob. 2ECh. 4.1 - In Exercises 1-10, use the shortcut rules to...Ch. 4.1 - In Exercises 1-10, use the shortcut rules to...Ch. 4.1 - In Exercises 1-10, use the shortcut rules to...Ch. 4.1 - In Exercises 1-10, use the shortcut rules to...Ch. 4.1 - In Exercises 1-10, use the shortcut rules to...Ch. 4.1 - In Exercises 1-10, use the shortcut rules to...Ch. 4.1 - In Exercises 1-10, use the shortcut rules to...Ch. 4.1 - In Exercises 1-10, use the shortcut rules to...
Ch. 4.1 - Prob. 11ECh. 4.1 - Prob. 12ECh. 4.1 - Prob. 13ECh. 4.1 - Prob. 14ECh. 4.1 - In Exercises 11-16, obtain the derivative dy/dt...Ch. 4.1 - Prob. 16ECh. 4.1 - In Exercises 17-40, find the derivative of the...Ch. 4.1 - In Exercises 17-40, find the derivative of the...Ch. 4.1 - In Exercises 17-40, find the derivative of the...Ch. 4.1 - In Exercises 17-40, find the derivative of the...Ch. 4.1 - In Exercises 17-40, find the derivative of the...Ch. 4.1 - Prob. 22ECh. 4.1 - Prob. 23ECh. 4.1 - Prob. 24ECh. 4.1 - Prob. 25ECh. 4.1 - Prob. 26ECh. 4.1 - Prob. 27ECh. 4.1 - Prob. 28ECh. 4.1 - In Exercises 17-40, find the derivative of the...Ch. 4.1 - Prob. 30ECh. 4.1 - Prob. 31ECh. 4.1 - Prob. 32ECh. 4.1 - Prob. 33ECh. 4.1 - In Exercises 17-40, find the derivative of the...Ch. 4.1 - In Exercises 17-40, find the derivative of the...Ch. 4.1 - In Exercises 17-40, find the derivative of the...Ch. 4.1 - In Exercises 17-40, find the derivative of the...Ch. 4.1 - In Exercises 17-40, find the derivative of the...Ch. 4.1 - In Exercises 17-40, find the derivative of the...Ch. 4.1 - Prob. 40ECh. 4.1 - In Exercises 41-46, evaluate the given expression....Ch. 4.1 - Prob. 42ECh. 4.1 - Prob. 43ECh. 4.1 - Prob. 44ECh. 4.1 - Prob. 45ECh. 4.1 - In Exercises 41-46, evaluate the given expression....Ch. 4.1 - In Exercises 47-52, find the indicated derivative....Ch. 4.1 - In Exercises 47-52, find the indicated derivative....Ch. 4.1 - In Exercises 47-52, find the indicated derivative....Ch. 4.1 - Prob. 50ECh. 4.1 - Prob. 51ECh. 4.1 - Prob. 52ECh. 4.1 - In Exercises 5358, find the slope of the tangent...Ch. 4.1 - Prob. 54ECh. 4.1 - Prob. 55ECh. 4.1 - In Exercises 5358, find the slope of the tangent...Ch. 4.1 - In Exercises 5358, find the slope of the tangent...Ch. 4.1 - In Exercises 5358, find the slope of the tangent...Ch. 4.1 - In Exercises 5964, find the equation of the...Ch. 4.1 - In Exercises 5964, find the equation of the...Ch. 4.1 - In Exercises 5964, find the equation of the...Ch. 4.1 - In Exercises 5964, find the equation of the...Ch. 4.1 - In Exercises 5964, find the equation of the...Ch. 4.1 - In Exercises 5964, find the equation of the...Ch. 4.1 - In Exercises 6570, find all values of x (if any)...Ch. 4.1 - Prob. 66ECh. 4.1 - Prob. 67ECh. 4.1 - In Exercises 6570, find all values of x (if any)...Ch. 4.1 - Prob. 69ECh. 4.1 - Prob. 70ECh. 4.1 - Prob. 71ECh. 4.1 - Prob. 72ECh. 4.1 - If Exercises 73-76, determine whether f is...Ch. 4.1 - If Exercises 73-76, determine whether f is...Ch. 4.1 - If Exercises 73-76, determine whether f is...Ch. 4.1 - If Exercises 73-76, determine whether f is...Ch. 4.1 - In Exercises 77-88, say whether lHospitals rule...Ch. 4.1 - In Exercises 77-88, say whether lHospitals rule...Ch. 4.1 - In Exercises 77-88, say whether lHospitals rule...Ch. 4.1 - In Exercises 77-88, say whether lHospitals rule...Ch. 4.1 - In Exercises 77-88, say whether lHospitals rule...Ch. 4.1 - In Exercises 77-88, say whether lHospitals rule...Ch. 4.1 - In Exercises 77-88, say whether lHospitals rule...Ch. 4.1 - In Exercises 77-88, say whether lHospitals rule...Ch. 4.1 - In Exercises 77-88, say whether lHospitals rule...Ch. 4.1 - In Exercises 77-88, say whether lHospitals rule...Ch. 4.1 - In Exercises 77-88, say whether lHospitals rule...Ch. 4.1 - In Exercises 77-88, say whether lHospitals rule...Ch. 4.1 - Crude Oil Prices The price per barrel of crude oil...Ch. 4.1 - Median Home Price The median home price in the...Ch. 4.1 - Food versus Education The following equation shows...Ch. 4.1 - Food versus Recreation The following equation...Ch. 4.1 - Velocity If a stone is dropped from a height of...Ch. 4.1 - Velocity If a stone is thrown down at 120 ft/sec...Ch. 4.1 - Velocity The height of a soccer ball kicked by...Ch. 4.1 - Velocity The height of a basketball thrown by...Ch. 4.1 - GE Net Income 2009-2013 The annual net income of...Ch. 4.1 - GE Net Income 20072011 The annual net income of...Ch. 4.1 - Ecology Increasing numbers of manatees (sea...Ch. 4.1 - SAT Scores by Income The following graph shown...Ch. 4.1 - Prob. 101ECh. 4.1 - Market Share: Smartphones The following graph...Ch. 4.1 - Prob. 103ECh. 4.1 - Prob. 104ECh. 4.1 - Prob. 105ECh. 4.1 - Prob. 106ECh. 4.1 - Prob. 107ECh. 4.1 - Prob. 108ECh. 4.1 - Following is an excerpt from your best friends...Ch. 4.1 - Following is an excerpt from your own graded...Ch. 4.1 - Following is an excerpt from your best friends...Ch. 4.1 - Following is an excerpt from your second best...Ch. 4.1 - Following is an excerpt from your second best...Ch. 4.1 - Following is an excerpt from your second enemys...Ch. 4.1 - Prob. 115ECh. 4.1 - Prob. 116ECh. 4.1 - Prob. 117ECh. 4.1 - Prob. 118ECh. 4.2 - In Exercises 14, for each cost function, find the...Ch. 4.2 - In Exercises 14, for each cost function, find the...Ch. 4.2 - In Exercises 14, for each cost function, find the...Ch. 4.2 - In Exercises 14, for each cost function, find the...Ch. 4.2 - In Exercises 5 and 6, find the marginal cost,...Ch. 4.2 - In Exercises 5 and 6, find the marginal cost,...Ch. 4.2 - A certain cost function has the following graph:...Ch. 4.2 - A certain cost function has the following graph:...Ch. 4.2 - Advertising Costs The cost, in thousands of...Ch. 4.2 - Prob. 10ECh. 4.2 - Marginal and Average Cost: iPhones Assume that it...Ch. 4.2 - Prob. 12ECh. 4.2 - Prob. 13ECh. 4.2 - Marginal Revenue and Profit The Audubon Society at...Ch. 4.2 - Marginal Profit Suppose P(x) represents the profit...Ch. 4.2 - Marginal Loss An automobile retailer calculates...Ch. 4.2 - Marginal Profit Your monthly profit (in dollars)...Ch. 4.2 - Marginal Profit Your monthly profit (in dollars)...Ch. 4.2 - Marginal Revenue: Pricing Tuna Assume that the...Ch. 4.2 - Marginal Revenue: Pricing Tuna Repeat Exercise 19,...Ch. 4.2 - Prob. 21ECh. 4.2 - Prob. 22ECh. 4.2 - Prob. 23ECh. 4.2 - Prob. 24ECh. 4.2 - Prob. 25ECh. 4.2 - Prob. 26ECh. 4.2 - Prob. 27ECh. 4.2 - Prob. 28ECh. 4.2 - Fuel Economy Your Porsches gas mileage (in miles...Ch. 4.2 - Marginal Revenue The estimated marginal revenue...Ch. 4.2 - Prob. 31ECh. 4.2 - Prob. 32ECh. 4.2 - Prob. 33ECh. 4.2 - Prob. 34ECh. 4.2 - Prob. 35ECh. 4.2 - For the cost function C(x)=mx+b themarginal cost...Ch. 4.2 - Prob. 37ECh. 4.2 - Prob. 38ECh. 4.2 - Prob. 39ECh. 4.2 - Prob. 40ECh. 4.2 - Prob. 41ECh. 4.2 - Prob. 42ECh. 4.2 - Prob. 43ECh. 4.2 - Prob. 44ECh. 4.2 - Prob. 45ECh. 4.2 - Prob. 46ECh. 4.3 - In Exercises 112 (a) Calculate the derivative of...Ch. 4.3 - In Exercises 112 (a) Calculate the derivative of...Ch. 4.3 - In Exercises 112 (a) Calculate the derivative of...Ch. 4.3 - In Exercises 112 (a) Calculate the derivative of...Ch. 4.3 - In Exercises 112 (a) Calculate the derivative of...Ch. 4.3 - In Exercises 112 (a) Calculate the derivative of...Ch. 4.3 - In Exercises 112 (a) Calculate the derivative of...Ch. 4.3 - In Exercises 112 (a) Calculate the derivative of...Ch. 4.3 - In Exercises 112 (a) Calculate the derivative of...Ch. 4.3 - Prob. 10ECh. 4.3 - Prob. 11ECh. 4.3 - Prob. 12ECh. 4.3 - Prob. 13ECh. 4.3 - Prob. 14ECh. 4.3 - In Exercises 13-28, calculate dydx. Simplify your...Ch. 4.3 - Prob. 16ECh. 4.3 - Prob. 17ECh. 4.3 - Prob. 18ECh. 4.3 - In Exercises 13-28, calculate dydx. Simplify your...Ch. 4.3 - In Exercises 13-28, calculate dydx. Simplify your...Ch. 4.3 - In Exercises 13-28, calculate dydx. Simplify your...Ch. 4.3 - Prob. 22ECh. 4.3 - Prob. 23ECh. 4.3 - Prob. 24ECh. 4.3 - Prob. 25ECh. 4.3 - Prob. 26ECh. 4.3 - In Exercises 13-28, calculate dydx. Simplify your...Ch. 4.3 - In Exercises 13-28, calculate dydx. Simplify your...Ch. 4.3 - In Exercises 29-56, calculate dydx. You need not...Ch. 4.3 - In Exercises 29-56, calculate dydx. You need not...Ch. 4.3 - In Exercises 29-56, calculate dydx. You need not...Ch. 4.3 - In Exercises 29-56, calculate dydx. You need not...Ch. 4.3 - In Exercises 29-56, calculate dydx. You need not...Ch. 4.3 - In Exercises 29-56, calculate dydx. You need not...Ch. 4.3 - In Exercises 29-56, calculate dydx. You need not...Ch. 4.3 - In Exercises 29-56, calculate dydx. You need not...Ch. 4.3 - In Exercises 29-56, calculate dydx. You need not...Ch. 4.3 - Prob. 38ECh. 4.3 - Prob. 39ECh. 4.3 - Prob. 40ECh. 4.3 - Prob. 41ECh. 4.3 - Prob. 42ECh. 4.3 - Prob. 43ECh. 4.3 - Prob. 44ECh. 4.3 - Prob. 45ECh. 4.3 - Prob. 46ECh. 4.3 - In Exercises 29-56, calculate dydx. You need not...Ch. 4.3 - In Exercises 29-56, calculate dydx. You need not...Ch. 4.3 - In Exercises 29-56, calculate dydx. You need not...Ch. 4.3 - In Exercises 29-56, calculate dydx. You need not...Ch. 4.3 - In Exercises 29-56, calculate dydx. You need not...Ch. 4.3 - In Exercises 29-56, calculate dydx. You need not...Ch. 4.3 - In Exercises 29-56, calculate dydx. You need not...Ch. 4.3 - Prob. 54ECh. 4.3 - Prob. 55ECh. 4.3 - Prob. 56ECh. 4.3 - Prob. 57ECh. 4.3 - Prob. 58ECh. 4.3 - In Exercises 57-62, compute the indicated...Ch. 4.3 - Prob. 60ECh. 4.3 - Prob. 61ECh. 4.3 - Prob. 62ECh. 4.3 - Prob. 63ECh. 4.3 - Prob. 64ECh. 4.3 - Prob. 65ECh. 4.3 - Prob. 66ECh. 4.3 - Prob. 67ECh. 4.3 - Prob. 68ECh. 4.3 - Prob. 69ECh. 4.3 - Prob. 70ECh. 4.3 - Prob. 71ECh. 4.3 - In Exercises 71-76, find the equation of the line...Ch. 4.3 - In Exercises 71-76, find the equation of the line...Ch. 4.3 - Prob. 74ECh. 4.3 - Prob. 75ECh. 4.3 - Prob. 76ECh. 4.3 - Revenue The monthly sales of Sunny Electronics new...Ch. 4.3 - Revenue The monthly sales of Sunny Electronics new...Ch. 4.3 - Saudi Oil Revenues The price of crude oil during...Ch. 4.3 - Russian Oil Revenues The price of crude oil during...Ch. 4.3 - Revenue Dorothy Wagner is currently selling 20 I ...Ch. 4.3 - Pricing Policy Let us turn Exercise 81 around a...Ch. 4.3 - Bus Travel Thoroughbred Bus Company finds that its...Ch. 4.3 - Prob. 84ECh. 4.3 - Fuel Economy Your muscle cars gas mileage (in...Ch. 4.3 - Fuel Economy Your used Chevys gas mileage (in...Ch. 4.3 - Prob. 87ECh. 4.3 - Oil Imports from Mexico Daily oil production in...Ch. 4.3 - Prob. 89ECh. 4.3 - Prob. 90ECh. 4.3 - Prob. 91ECh. 4.3 - Biology-Reproduction Another model, the predator...Ch. 4.3 - Prob. 93ECh. 4.3 - Prob. 94ECh. 4.3 - If f and g are functions of time, and at time t=3,...Ch. 4.3 - If f and g are functions of time, and at time t=2,...Ch. 4.3 - If f and g are functions of time, and at time t=3,...Ch. 4.3 - Prob. 98ECh. 4.3 - Prob. 99ECh. 4.3 - Prob. 100ECh. 4.3 - Prob. 101ECh. 4.3 - Prob. 102ECh. 4.3 - Prob. 103ECh. 4.3 - Prob. 104ECh. 4.3 - Prob. 105ECh. 4.3 - Prob. 106ECh. 4.4 - In Exercises 1-50, calculate the derivate of the...Ch. 4.4 - In Exercises 1-50, calculate the derivate of the...Ch. 4.4 - In Exercises 1-50, calculate the derivate of the...Ch. 4.4 - In Exercises 1-50, calculate the derivate of the...Ch. 4.4 - In Exercises 1-50, calculate the derivate of the...Ch. 4.4 - In Exercises 1-50, calculate the derivate of the...Ch. 4.4 - In Exercises 1-50, calculate the derivate of the...Ch. 4.4 - In Exercises 1-50, calculate the derivate of the...Ch. 4.4 - In Exercises 1-50, calculate the derivate of the...Ch. 4.4 - In Exercises 1-50, calculate the derivate of the...Ch. 4.4 - In Exercises 1-50, calculate the derivate of the...Ch. 4.4 - In Exercises 1-50, calculate the derivate of the...Ch. 4.4 - In Exercises 1-50, calculate the derivate of the...Ch. 4.4 - In Exercises 1-50, calculate the derivate of the...Ch. 4.4 - In Exercises 1-50, calculate the derivate of the...Ch. 4.4 - In Exercises 1-50, calculate the derivate of the...Ch. 4.4 - In Exercises 1-50, calculate the derivate of the...Ch. 4.4 - In Exercises 1-50, calculate the derivate of the...Ch. 4.4 - In Exercises 1-50, calculate the derivate of the...Ch. 4.4 - In Exercises 1-50, calculate the derivate of the...Ch. 4.4 - In Exercises 1-50, calculate the derivate of the...Ch. 4.4 - In Exercises 1-50, calculate the derivate of the...Ch. 4.4 - In Exercises 1-50, calculate the derivate of the...Ch. 4.4 - In Exercises 1-50, calculate the derivate of the...Ch. 4.4 - In Exercises 1-50, calculate the derivate of the...Ch. 4.4 - In Exercises 1-50, calculate the derivate of the...Ch. 4.4 - In Exercises 1-50, calculate the derivate of the...Ch. 4.4 - In Exercises 1-50, calculate the derivate of the...Ch. 4.4 - In Exercises 1-50, calculate the derivate of the...Ch. 4.4 - In Exercises 1-50, calculate the derivate of the...Ch. 4.4 - In Exercises 1-50, calculate the derivate of the...Ch. 4.4 - In Exercises 1-50, calculate the derivate of the...Ch. 4.4 - In Exercises 1-50, calculate the derivate of the...Ch. 4.4 - In Exercises 1-50, calculate the derivate of the...Ch. 4.4 - In Exercises 1-50, calculate the derivate of the...Ch. 4.4 - In Exercises 1-50, calculate the derivate of the...Ch. 4.4 - In Exercises 1-50, calculate the derivate of the...Ch. 4.4 - In Exercises 1-50, calculate the derivate of the...Ch. 4.4 - In Exercises 1-50, calculate the derivate of the...Ch. 4.4 - In Exercises 1-50, calculate the derivate of the...Ch. 4.4 - In Exercises 1-50, calculate the derivate of the...Ch. 4.4 - In Exercises 1-50, calculate the derivate of the...Ch. 4.4 - In Exercises 1-50, calculate the derivate of the...Ch. 4.4 - In Exercises 1-50, calculate the derivate of the...Ch. 4.4 - In Exercises 1-50, calculate the derivate of the...Ch. 4.4 - In Exercises 1-50, calculate the derivate of the...Ch. 4.4 - In Exercises 1-50, calculate the derivate of the...Ch. 4.4 - In Exercises 1-50, calculate the derivate of the...Ch. 4.4 - In Exercises 1-50, calculate the derivate of the...Ch. 4.4 - In Exercises 1-50, calculate the derivate of the...Ch. 4.4 - In Exercises 51-66, compute the indicated...Ch. 4.4 - In Exercises 51-66, compute the indicated...Ch. 4.4 - In Exercises 51-66, compute the indicated...Ch. 4.4 - In Exercises 51-66, compute the indicated...Ch. 4.4 - In Exercises 51-66, compute the indicated...Ch. 4.4 - In Exercises 51-66, compute the indicated...Ch. 4.4 - In Exercises 51-66, compute the indicated...Ch. 4.4 - In Exercises 51-66, compute the indicated...Ch. 4.4 - In Exercises 51-66, compute the indicated...Ch. 4.4 - In Exercises 51-66, compute the indicated...Ch. 4.4 - In Exercises 51-66, compute the indicated...Ch. 4.4 - In Exercises 51-66, compute the indicated...Ch. 4.4 - In Exercises 51-66, compute the indicated...Ch. 4.4 - In Exercises 51-66, compute the indicated...Ch. 4.4 - In Exercises 51-66, compute the indicated...Ch. 4.4 - In Exercises 51-66, compute the indicated...Ch. 4.4 - In Exercises 67-74, find the indicated derivative....Ch. 4.4 - In Exercises 67-74, find the indicated derivative....Ch. 4.4 - In Exercises 67-74, find the indicated derivative....Ch. 4.4 - In Exercises 67-74, find the indicated derivative....Ch. 4.4 - In Exercises 67-74, find the indicated derivative....Ch. 4.4 - In Exercises 67-74, find the indicated derivative....Ch. 4.4 - In Exercises 67-74, find the indicated derivative....Ch. 4.4 - In Exercises 67-74, find the indicated derivative....Ch. 4.4 - Crude Oil Prices The price per barrel of crude oil...Ch. 4.4 - Median Home Prices The median home price in the...Ch. 4.4 - Marginal Profit Your monthly profit (in dollars)...Ch. 4.4 - Prob. 78ECh. 4.4 - Fuel Economy (You saw this exercise in Section...Ch. 4.4 - Fuel Economy (You saw this exercise in Section...Ch. 4.4 - Marginal Profit Paramount Electronics has an...Ch. 4.4 - Marginal Profit Refer back to Exercise 81. The...Ch. 4.4 - Food versus Education The percentage y (of total...Ch. 4.4 - Prob. 84ECh. 4.4 - Marginal Revenue The weekly revenue from the sale...Ch. 4.4 - Marginal Revenue The weekly revenue from the sale...Ch. 4.4 - Crime Statistics The murder rate in large cities...Ch. 4.4 - Crime Statistics Following is a quadratic model...Ch. 4.4 - Existing Home Sales The following graph shows the...Ch. 4.4 - Existing Home Sales Leading to the Financial...Ch. 4.4 - Pollution An offshore oil well is leaking oil and...Ch. 4.4 - Prob. 92ECh. 4.4 - Prob. 93ECh. 4.4 - Prob. 94ECh. 4.4 - Revenue Growth The demand for the Cyberpunk II...Ch. 4.4 - Prob. 96ECh. 4.4 - Prob. 97ECh. 4.4 - Prob. 98ECh. 4.4 - Prob. 99ECh. 4.4 - Prob. 100ECh. 4.4 - Prob. 101ECh. 4.4 - Prob. 102ECh. 4.4 - Say why the following was marked wrong, and give...Ch. 4.4 - Say why the following was marked wrong, and give...Ch. 4.4 - Name two major errors in the following graded test...Ch. 4.4 - Name two major errors in the following graded test...Ch. 4.4 - Prob. 107ECh. 4.4 - Prob. 108ECh. 4.4 - Prob. 109ECh. 4.4 - Prob. 110ECh. 4.5 - In Exercises 1-66, find the derivative of the...Ch. 4.5 - Prob. 2ECh. 4.5 - In Exercises 1-66, find the derivative of the...Ch. 4.5 - In Exercises 1-66, find the derivative of the...Ch. 4.5 - In Exercises 1-66, find the derivative of the...Ch. 4.5 - In Exercises 1-66, find the derivative of the...Ch. 4.5 - In Exercises 1-66, find the derivative of the...Ch. 4.5 - In Exercises 1-66, find the derivative of the...Ch. 4.5 - In Exercises 1-66, find the derivative of the...Ch. 4.5 - In Exercises 1-66, find the derivative of the...Ch. 4.5 - In Exercises 1-66, find the derivative of the...Ch. 4.5 - In Exercises 1-66, find the derivative of the...Ch. 4.5 - In Exercises 1-66, find the derivative of the...Ch. 4.5 - In Exercises 1-66, find the derivative of the...Ch. 4.5 - In Exercises 1-66, find the derivative of the...Ch. 4.5 - In Exercises 1-66, find the derivative of the...Ch. 4.5 - In Exercises 1-66, find the derivative of the...Ch. 4.5 - In Exercises 1-66, find the derivative of the...Ch. 4.5 - In Exercises 1-66, find the derivative of the...Ch. 4.5 - In Exercises 1-66, find the derivative of the...Ch. 4.5 - In Exercises 1-66, find the derivative of the...Ch. 4.5 - In Exercises 1-66, find the derivative of the...Ch. 4.5 - In Exercises 1-66, find the derivative of the...Ch. 4.5 - In Exercises 1-66, find the derivative of the...Ch. 4.5 - In Exercises 1-66, find the derivative of the...Ch. 4.5 - In Exercises 1-66, find the derivative of the...Ch. 4.5 - In Exercises 1-66, find the derivative of the...Ch. 4.5 - In Exercises 1-66, find the derivative of the...Ch. 4.5 - In Exercises 1-66, find the derivative of the...Ch. 4.5 - In Exercises 1-66, find the derivative of the...Ch. 4.5 - In Exercises 1-66, find the derivative of the...Ch. 4.5 - In Exercises 1-66, find the derivative of the...Ch. 4.5 - In Exercises 1-66, find the derivative of the...Ch. 4.5 - In Exercises 1-66, find the derivative of the...Ch. 4.5 - In Exercises 1-66, find the derivative of the...Ch. 4.5 - In Exercises 1-66, find the derivative of the...Ch. 4.5 - In Exercises 1-66, find the derivative of the...Ch. 4.5 - In Exercises 1-66, find the derivative of the...Ch. 4.5 - In Exercises 1-66, find the derivative of the...Ch. 4.5 - In Exercises 1-66, find the derivative of the...Ch. 4.5 - In Exercises 1-66, find the derivative of the...Ch. 4.5 - In Exercises 1-66, find the derivative of the...Ch. 4.5 - In Exercises 1-66, find the derivative of the...Ch. 4.5 - In Exercises 1-66, find the derivative of the...Ch. 4.5 - Prob. 45ECh. 4.5 - Prob. 46ECh. 4.5 - Prob. 47ECh. 4.5 - Prob. 48ECh. 4.5 - Prob. 49ECh. 4.5 - Prob. 50ECh. 4.5 - Prob. 51ECh. 4.5 - Prob. 52ECh. 4.5 - Prob. 53ECh. 4.5 - Prob. 54ECh. 4.5 - Prob. 55ECh. 4.5 - Prob. 56ECh. 4.5 - In Exercises 1-66, find the derivative of the...Ch. 4.5 - In Exercises 1-66, find the derivative of the...Ch. 4.5 - In Exercises 1-66, find the derivative of the...Ch. 4.5 - In Exercises 1-66, find the derivative of the...Ch. 4.5 - In Exercises 1-66, find the derivative of the...Ch. 4.5 - In Exercises 1-66, find the derivative of the...Ch. 4.5 - In Exercises 1-66, find the derivative of the...Ch. 4.5 - In Exercises 1-66, find the derivative of the...Ch. 4.5 - In Exercises 1-66, find the derivative of the...Ch. 4.5 - In Exercises 1-66, find the derivative of the...Ch. 4.5 - In Exercises 67-72, find the equation of the...Ch. 4.5 - In Exercises 67-72, find the equation of the...Ch. 4.5 - In Exercises 67-72, find the equation of the...Ch. 4.5 - In Exercises 67-72, find the equation of the...Ch. 4.5 - In Exercises 67-72, find the equation of the...Ch. 4.5 - In Exercises 67-72, find the equation of the...Ch. 4.5 - In Exercises 73-78, use lHospitals rule to find...Ch. 4.5 - In Exercises 73-78, use lHospitals rule to find...Ch. 4.5 - In Exercises 73-78, use lHospitals rule to find...Ch. 4.5 - In Exercises 73-78, use lHospitals rule to find...Ch. 4.5 - In Exercises 73-78, use lHospitals rule to find...Ch. 4.5 - In Exercises 73-78, use lHospitals rule to find...Ch. 4.5 - Research and Development: Industry The total spent...Ch. 4.5 - Research and Development: Federal The total spent...Ch. 4.5 - Prob. 81ECh. 4.5 - Prob. 82ECh. 4.5 - Carbon Dating The age in years of a specimen that...Ch. 4.5 - Prob. 84ECh. 4.5 - New York City Housing Costs: Downtown The average...Ch. 4.5 - New York City Housing Costs: Uptown The average...Ch. 4.5 - Big Brother The following chart shows the total...Ch. 4.5 - Big Brother The following chart shows the total...Ch. 4.5 - Investments If $10,000 is invested in a savings...Ch. 4.5 - Investments If $20,000 is invested in a savings...Ch. 4.5 - Investments If $10,000 is invested in a savings...Ch. 4.5 - Investments If $20,000 is invested in a savings...Ch. 4.5 - Prob. 93ECh. 4.5 - The 2003 SARS Outbreak A few weeks into the deadly...Ch. 4.5 - Prob. 95ECh. 4.5 - Prob. 96ECh. 4.5 - Prob. 97ECh. 4.5 - SAT Scores by Income The following bar graph shows...Ch. 4.5 - Prob. 99ECh. 4.5 - Prob. 100ECh. 4.5 - Epidemics A flu epidemic described in Example 1 in...Ch. 4.5 - Prob. 102ECh. 4.5 - Prob. 103ECh. 4.5 - Prob. 104ECh. 4.5 - Prob. 105ECh. 4.5 - Subprime Mortgage Debt during the Housing Bubble...Ch. 4.5 - Prob. 107ECh. 4.5 - Prob. 108ECh. 4.5 - Radioactive Decay Plutonium 239 has a half-life of...Ch. 4.5 - Radioactive Decay Carbon 14 has a half-life of...Ch. 4.5 - Cellphone Revenues The number of cellphone...Ch. 4.5 - Cellphone Revenues The annual revenue for...Ch. 4.5 - Complete the following: The derivative of e raised...Ch. 4.5 - Complete the following: The derivative of the...Ch. 4.5 - Complete the following: The derivative of 2 raised...Ch. 4.5 - Complete the following: The derivative of the base...Ch. 4.5 - What is wrong with the following?...Ch. 4.5 - What is wrong with the following? ddx22x=(2)22x X...Ch. 4.5 - What is wrong with the following? ddx32x=(2x)32x1...Ch. 4.5 - Prob. 120ECh. 4.5 - Prob. 121ECh. 4.5 - Prob. 122ECh. 4.5 - Prob. 123ECh. 4.5 - Prob. 124ECh. 4.5 - Prob. 125ECh. 4.5 - Prob. 126ECh. 4.6 - In Exercises 110, find dy/dx, using implicit...Ch. 4.6 - Prob. 2ECh. 4.6 - In Exercises 110, find dy/dx, using implicit...Ch. 4.6 - In Exercises 110, find dy/dx, using implicit...Ch. 4.6 - In Exercises 110, find dy/dx, using implicit...Ch. 4.6 - In Exercises 110, find dy/dx, using implicit...Ch. 4.6 - In Exercises 110, find dy/dx, using implicit...Ch. 4.6 - In Exercises 110, find dy/dx, using implicit...Ch. 4.6 - Prob. 9ECh. 4.6 - Prob. 10ECh. 4.6 - In Exercises 11-30, find the indicated derivative...Ch. 4.6 - In Exercises 11-30, find the indicated derivative...Ch. 4.6 - In Exercises 11-30, find the indicated derivative...Ch. 4.6 - In Exercises 11-30, find the indicated derivative...Ch. 4.6 - In Exercises 11-30, find the indicated derivative...Ch. 4.6 - In Exercises 11-30, find the indicated derivative...Ch. 4.6 - In Exercises 11-30, find the indicated derivative...Ch. 4.6 - In Exercises 11-30, find the indicated derivative...Ch. 4.6 - In Exercises 11-30, find the indicated derivative...Ch. 4.6 - In Exercises 11-30, find the indicated derivative...Ch. 4.6 - In Exercises 11-30, find the indicated derivative...Ch. 4.6 - In Exercises 11-30, find the indicated derivative...Ch. 4.6 - Prob. 23ECh. 4.6 - Prob. 24ECh. 4.6 - Prob. 25ECh. 4.6 - Prob. 26ECh. 4.6 - Prob. 27ECh. 4.6 - Prob. 28ECh. 4.6 - In Exercises 11-30, find the indicated derivative...Ch. 4.6 - In Exercises 11-30, find the indicated derivative...Ch. 4.6 - In Exercises 3142, use implicit differentiation to...Ch. 4.6 - In Exercises 3142, use implicit differentiation to...Ch. 4.6 - In Exercises 3142, use implicit differentiation to...Ch. 4.6 - In Exercises 3142, use implicit differentiation to...Ch. 4.6 - In Exercises 3142, use implicit differentiation to...Ch. 4.6 - In Exercises 3142, use implicit differentiation to...Ch. 4.6 - In Exercises 3142, use implicit differentiation to...Ch. 4.6 - In Exercises 3142, use implicit differentiation to...Ch. 4.6 - In Exercises 3142, use implicit differentiation to...Ch. 4.6 - In Exercises 3142, use implicit differentiation to...Ch. 4.6 - In Exercises 3142, use implicit differentiation to...Ch. 4.6 - In Exercises 3142, use implicit differentiation to...Ch. 4.6 - In Exercises 43-52, use logarithmic...Ch. 4.6 - In Exercises 43-52, use logarithmic...Ch. 4.6 - In Exercises 43-52, use logarithmic...Ch. 4.6 - In Exercises 43-52, use logarithmic...Ch. 4.6 - In Exercises 43-52, use logarithmic...Ch. 4.6 - In Exercises 43-52, use logarithmic...Ch. 4.6 - In Exercises 43-52, use logarithmic...Ch. 4.6 - In Exercises 43-52, use logarithmic...Ch. 4.6 - In Exercises 43-52, use logarithmic...Ch. 4.6 - In Exercises 43-52, use logarithmic...Ch. 4.6 - Productivity The number of CDs per hour that...Ch. 4.6 - Productivity The number of cellphone accessory...Ch. 4.6 - Demand The demand equation for soccer tournament...Ch. 4.6 - Cost Equations The cost C (in cents) of producing...Ch. 4.6 - Housing Costs61 The cost C (in dollars) of...Ch. 4.6 - Employment An employment research company...Ch. 4.6 - Grades62 A productivity formula for a students...Ch. 4.6 - Grades Repeat Exercise 59 using the following...Ch. 4.6 - Exercises 61 and 62 are based on the following...Ch. 4.6 - Exercises 61 and 62 are based on the following...Ch. 4.6 - Fill in the missing terms: The equation x=y3+y3...Ch. 4.6 - Fill in the missing terms: When x0 in the equation...Ch. 4.6 - Use logarithmic differentiation to give another...Ch. 4.6 - Prob. 66ECh. 4.6 - Prob. 67ECh. 4.6 - Prob. 68ECh. 4.6 - Prob. 69ECh. 4.6 - Prob. 70ECh. 4 - In Exercises 1-32, find the derivative of the...Ch. 4 - Prob. 2RECh. 4 - Prob. 3RECh. 4 - In Exercises 1-32, find the derivative of the...Ch. 4 - Prob. 5RECh. 4 - Prob. 6RECh. 4 - Prob. 7RECh. 4 - Prob. 8RECh. 4 - Prob. 9RECh. 4 - Prob. 10RECh. 4 - Prob. 11RECh. 4 - Prob. 12RECh. 4 - Prob. 13RECh. 4 - Prob. 14RECh. 4 - Prob. 15RECh. 4 - Prob. 16RECh. 4 - Prob. 17RECh. 4 - Prob. 18RECh. 4 - Prob. 19RECh. 4 - Prob. 20RECh. 4 - Prob. 21RECh. 4 - Prob. 22RECh. 4 - Prob. 23RECh. 4 - Prob. 24RECh. 4 - Prob. 25RECh. 4 - Prob. 26RECh. 4 - Prob. 27RECh. 4 - Prob. 28RECh. 4 - Prob. 29RECh. 4 - Prob. 30RECh. 4 - Prob. 31RECh. 4 - Prob. 32RECh. 4 - Prob. 33RECh. 4 - Prob. 34RECh. 4 - Prob. 35RECh. 4 - Prob. 36RECh. 4 - Prob. 37RECh. 4 - Prob. 38RECh. 4 - Prob. 39RECh. 4 - Prob. 40RECh. 4 - Prob. 41RECh. 4 - Prob. 42RECh. 4 - Prob. 43RECh. 4 - Prob. 44RECh. 4 - Prob. 45RECh. 4 - Prob. 46RECh. 4 - Prob. 47RECh. 4 - In Exercises 47-52, find the equation of the...Ch. 4 - Prob. 49RECh. 4 - Prob. 50RECh. 4 - Prob. 51RECh. 4 - Prob. 52RECh. 4 - Prob. 53RECh. 4 - Prob. 54RECh. 4 - Prob. 55RECh. 4 - Prob. 56RECh. 4 - Sales OHaganBooks.com fits the cubic curve...Ch. 4 - Prob. 58RECh. 4 - Prob. 59RECh. 4 - Cost OHaganBooks.com has been experiencing a run...Ch. 4 - Revenue At the moment, OHaganBooks.com is selling...Ch. 4 - Prob. 62RECh. 4 - Prob. 63RECh. 4 - Prob. 64RECh. 4 - Prob. 65RECh. 4 - Prob. 66RECh. 4 - Prob. 67RECh. 4 - Prob. 68RECh. 4 - Website Activity The number of hits on...Ch. 4 - Prob. 70RECh. 4 - Demand and Revenue The price p that...Ch. 4 - Prob. 72RECh. 4 - Prob. 3CS
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