Explanation Given Information: It is provided that price of T-Shirts has been raising b 50 c per week, and sales have been falling continuously at rate of 2 % per week and 50 T-Shirts are being sold per week at a rate of $ 10 per T-Shirt. Formula used: Integration by parts: If u and v are continuous functions of x and u has a continuous derivative, then ∫ u ⋅ v d x = u ⋅ I ( v ) − ∫ D ( u ) I ( v ) d x Where D ( u ) = d d x u and I ( v ) = ∫ v d x Weekly Revenue is given by: Weekly Revenue = Weekly Sales × Price per T-shirt Calculation: Let p ( t ) is the price per week t , then p ( t ) = 10 + 0.5 t Let q ( t ) is the weekly sales then: q ( t ) = 50 e − 0.02 t Weekly Revenue is: R ( t ) = p ( t ) ⋅ q ( t ) Substitute 10 + 0.5 t for p ( t ) and 50 e − 0.02 t for R ( t ) in above equation to get: R ( t ) = ( 10 + 0.5 t ) ⋅ ( 50 e − 0.02 t ) The total revenue over the coming years is given by the integral: ∫ 0 52 ( 10 + 0.5 t ) ⋅ ( 50 e − 0.02 t ) d t Consider the formula: ∫ u ⋅ v d x = u ⋅ I ( v ) − ∫ D ( u ) I ( v ) d x Substitute ( 10 + 0.5 t ) for u and ( 50 e − 0.02 t ) for v in above equation to get: ∫ 0 52 ( 10 + 0.5 t ) ⋅ ( 50 e − 0.02 t ) d t = [ ( 10 + 0.5 t ) ⋅ I ( 50 e − 0.02 t ) − ∫ D ( 10 + 0.5 t ) I ( 50 e − 0.02 t ) d t ] 0 52 Since, D ( u ) = d d x ( u ) Substitute ( 10 + 0

Student Solutions Manual for Waner/Costenoble's Finite Math and Applied Calculus, 7th

7th Edition

ISBN: 9781337275972

Author: Waner, Stefan; Costenoble, Steven

Publisher: Cengage Learning

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Chapter 14.1, Problem 65E

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To calculate: The revenue that will be generated during the coming year where price of T-Shirts has been raising b 50c per week, and sales have been falling continuously at rate of 2% per week and 50 T-Shirts are being sold per week at a rate of $10 per T-Shirt.

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Chapter 14.1, Problem 64E

Chapter 14.1, Problem 66E

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Chapter 14 Solutions

Student Solutions Manual for Waner/Costenoble's Finite Math and Applied Calculus, 7th

Ch. 14.1 - In Exercises 140, evaluate the integral using...Ch. 14.1 - Prob. 2E Ch. 14.1 - Prob. 3E Ch. 14.1 - Prob. 4E Ch. 14.1 - Prob. 5E Ch. 14.1 - Prob. 6E Ch. 14.1 - Prob. 7E Ch. 14.1 - Prob. 8E Ch. 14.1 - Prob. 9E Ch. 14.1 - Prob. 10E

Ch. 14.1 - Prob. 11E Ch. 14.1 - In Exercises 140, evaluate the integral using...Ch. 14.1 - Prob. 13E Ch. 14.1 - Prob. 14E Ch. 14.1 - Prob. 15E Ch. 14.1 - Prob. 16E Ch. 14.1 - Prob. 17E Ch. 14.1 - Prob. 18E Ch. 14.1 - Prob. 19E Ch. 14.1 - Prob. 20E Ch. 14.1 - Prob. 21E Ch. 14.1 - Prob. 22E Ch. 14.1 - Prob. 23E Ch. 14.1 - Prob. 24E Ch. 14.1 - In Exercises 140, evaluate the integral using...Ch. 14.1 - Prob. 26E Ch. 14.1 - Prob. 27E Ch. 14.1 - Prob. 28E Ch. 14.1 - Prob. 29E Ch. 14.1 - Prob. 30E Ch. 14.1 - Prob. 31E Ch. 14.1 - Prob. 32E Ch. 14.1 - Prob. 33E Ch. 14.1 - Prob. 34E Ch. 14.1 - Prob. 35E Ch. 14.1 - Prob. 36E Ch. 14.1 - In Exercises 140, evaluate the integral using...Ch. 14.1 - In Exercises 140, evaluate the integral using...Ch. 14.1 - In Exercises 140, evaluate the integral using...Ch. 14.1 - Prob. 40E Ch. 14.1 - Prob. 41E Ch. 14.1 - Prob. 42E Ch. 14.1 - Prob. 43E Ch. 14.1 - Prob. 44E Ch. 14.1 - Prob. 45E Ch. 14.1 - Prob. 46E Ch. 14.1 - Prob. 47E Ch. 14.1 - Prob. 48E Ch. 14.1 - Prob. 49E Ch. 14.1 - Prob. 50E Ch. 14.1 - Prob. 51E Ch. 14.1 - Prob. 52E Ch. 14.1 - Prob. 53E Ch. 14.1 - Prob. 54E Ch. 14.1 - Prob. 55E Ch. 14.1 - Prob. 56E Ch. 14.1 - Spending on Gasoline From the beginning of 2000 to...Ch. 14.1 - Spending on Gasoline From the beginning of 2007 to...Ch. 14.1 - Housing The following graph shows the annual...Ch. 14.1 - Housing for Sale The following graph shows the...Ch. 14.1 - Prob. 61E Ch. 14.1 - Bottled Water Sales The rate of U.S. sales of...Ch. 14.1 - Oil Production in Mexico The rate of crude oil...Ch. 14.1 - Oil Imports from Mexico The rate of crude oil...Ch. 14.1 - Prob. 65E Ch. 14.1 - Prob. 66E Ch. 14.1 - Prob. 67E Ch. 14.1 - Integrals of Piecewise-Linear Functions Exercises...Ch. 14.1 - Prob. 69E Ch. 14.1 - Prob. 70E Ch. 14.1 - Prob. 71E Ch. 14.1 - Prob. 72E Ch. 14.1 - Prob. 73E Ch. 14.1 - Prob. 74E Ch. 14.1 - In Exercises 7380, indicate whether the given...Ch. 14.1 - Prob. 76E Ch. 14.1 - Prob. 77E Ch. 14.1 - Prob. 78E Ch. 14.1 - Prob. 79E Ch. 14.1 - Prob. 80E Ch. 14.1 - Prob. 81E Ch. 14.1 - Prob. 82E Ch. 14.1 - Prob. 83E Ch. 14.1 - Prob. 84E Ch. 14.2 - In Exercises 18, find the area of the shaded...Ch. 14.2 - Prob. 2E Ch. 14.2 - Prob. 3E Ch. 14.2 - Prob. 4E Ch. 14.2 - Prob. 5E Ch. 14.2 - Prob. 6E Ch. 14.2 - Prob. 7E Ch. 14.2 - Prob. 8E Ch. 14.2 - Prob. 9E Ch. 14.2 - Prob. 10E Ch. 14.2 - Prob. 11E Ch. 14.2 - Prob. 12E Ch. 14.2 - Prob. 13E Ch. 14.2 - Prob. 14E Ch. 14.2 - Prob. 15E Ch. 14.2 - Prob. 16E Ch. 14.2 - Prob. 17E Ch. 14.2 - Prob. 18E Ch. 14.2 - Prob. 19E Ch. 14.2 - Prob. 20E Ch. 14.2 - Prob. 21E Ch. 14.2 - Prob. 22E Ch. 14.2 - Prob. 23E Ch. 14.2 - Prob. 24E Ch. 14.2 - Prob. 25E Ch. 14.2 - In Exercises 942, find the area of the indicated...Ch. 14.2 - Prob. 27E Ch. 14.2 - Prob. 28E Ch. 14.2 - Prob. 29E Ch. 14.2 - Prob. 30E Ch. 14.2 - Prob. 31E Ch. 14.2 - Prob. 32E Ch. 14.2 - Prob. 33E Ch. 14.2 - Prob. 34E Ch. 14.2 - Prob. 35E Ch. 14.2 - Prob. 36E Ch. 14.2 - Prob. 37E Ch. 14.2 - Prob. 38E Ch. 14.2 - Prob. 39E Ch. 14.2 - Prob. 40E Ch. 14.2 - Prob. 41E Ch. 14.2 - In Exercises 942, find the area of the indicated...Ch. 14.2 - Prob. 43E Ch. 14.2 - Prob. 44E Ch. 14.2 - Prob. 45E Ch. 14.2 - Oil Production in Mexico: Pemex The rate of crude...Ch. 14.2 - Prob. 47E Ch. 14.2 - Prob. 48E Ch. 14.2 - Prob. 49E Ch. 14.2 - Prob. 50E Ch. 14.2 - Prob. 51E Ch. 14.2 - Prob. 52E Ch. 14.2 - Prob. 53E Ch. 14.2 - Prob. 54E Ch. 14.2 - Prob. 55E Ch. 14.2 - Prob. 56E Ch. 14.2 - Prob. 57E Ch. 14.2 - Prob. 58E Ch. 14.3 - Prob. 1E Ch. 14.3 - Prob. 2E Ch. 14.3 - Prob. 3E Ch. 14.3 - Prob. 4E Ch. 14.3 - Prob. 5E Ch. 14.3 - Prob. 6E Ch. 14.3 - Prob. 7E Ch. 14.3 - Prob. 8E Ch. 14.3 - Prob. 9E Ch. 14.3 - Prob. 10E Ch. 14.3 - In Exercises 11 and 12, some values of a function...Ch. 14.3 - Prob. 12E Ch. 14.3 - Prob. 13E Ch. 14.3 - Prob. 14E Ch. 14.3 - Prob. 15E Ch. 14.3 - Prob. 16E Ch. 14.3 - Prob. 17E Ch. 14.3 - Prob. 18E Ch. 14.3 - Prob. 19E Ch. 14.3 - Prob. 20E Ch. 14.3 - In Exercises 1324, calculate the 5-unit moving...Ch. 14.3 - Prob. 22E Ch. 14.3 - Prob. 23E Ch. 14.3 - Prob. 24E Ch. 14.3 - Prob. 25E Ch. 14.3 - Prob. 26E Ch. 14.3 - Prob. 27E Ch. 14.3 - Prob. 28E Ch. 14.3 - Prob. 29E Ch. 14.3 - Prob. 30E Ch. 14.3 - Prob. 31E Ch. 14.3 - Prob. 32E Ch. 14.3 - Prob. 33E Ch. 14.3 - Prob. 34E Ch. 14.3 - Television Advertising The cost, in millions of...Ch. 14.3 - Television Advertising The cost, in millions of...Ch. 14.3 - Prob. 37E Ch. 14.3 - Prob. 38E Ch. 14.3 - Prob. 39E Ch. 14.3 - Health Expenditures Annual expenditures on health...Ch. 14.3 - Prob. 41E Ch. 14.3 - Prob. 42E Ch. 14.3 - Prob. 43E Ch. 14.3 - Prob. 44E Ch. 14.3 - Prob. 45E Ch. 14.3 - Prob. 46E Ch. 14.3 - Prob. 47E Ch. 14.3 - Prob. 48E Ch. 14.3 - Prob. 49E Ch. 14.3 - Prob. 50E Ch. 14.3 - Prob. 51E Ch. 14.3 - Prob. 52E Ch. 14.3 - Prob. 53E Ch. 14.3 - Prob. 54E Ch. 14.3 - Prob. 55E Ch. 14.3 - Pasta Imports in the 1990s In 1990 the United...Ch. 14.3 - Prob. 57E Ch. 14.3 - Prob. 58E Ch. 14.3 - Prob. 59E Ch. 14.3 - Prob. 60E Ch. 14.3 - Prob. 61E Ch. 14.3 - Prob. 62E Ch. 14.3 - Prob. 63E Ch. 14.3 - Prob. 64E Ch. 14.3 - Prob. 65E Ch. 14.3 - Prob. 66E Ch. 14.3 - Prob. 67E Ch. 14.3 - Prob. 68E Ch. 14.4 - In Exercises 112, calculate the consumers surplus...Ch. 14.4 - Prob. 2E Ch. 14.4 - Prob. 3E Ch. 14.4 - Prob. 4E Ch. 14.4 - Prob. 5E Ch. 14.4 - Prob. 6E Ch. 14.4 - Prob. 7E Ch. 14.4 - Prob. 8E Ch. 14.4 - Prob. 9E Ch. 14.4 - In Exercises 112, calculate the consumers surplus...Ch. 14.4 - Prob. 11E Ch. 14.4 - Prob. 12E Ch. 14.4 - Prob. 13E Ch. 14.4 - Prob. 14E Ch. 14.4 - Prob. 15E Ch. 14.4 - Prob. 16E Ch. 14.4 - Prob. 17E Ch. 14.4 - Prob. 18E Ch. 14.4 - Prob. 19E Ch. 14.4 - In Exercises 1324, calculate the producers surplus...Ch. 14.4 - Prob. 21E Ch. 14.4 - Prob. 22E Ch. 14.4 - Prob. 23E Ch. 14.4 - Prob. 24E Ch. 14.4 - Prob. 25E Ch. 14.4 - Prob. 26E Ch. 14.4 - Prob. 27E Ch. 14.4 - Prob. 28E Ch. 14.4 - Prob. 29E Ch. 14.4 - Prob. 30E Ch. 14.4 - Prob. 31E Ch. 14.4 - Prob. 32E Ch. 14.4 - In Exercises 3136, find the total value of the...Ch. 14.4 - Prob. 34E Ch. 14.4 - Prob. 35E Ch. 14.4 - Prob. 36E Ch. 14.4 - Prob. 37E Ch. 14.4 - Fast Food A fast-food outlet finds that the demand...Ch. 14.4 - Prob. 39E Ch. 14.4 - Prob. 40E Ch. 14.4 - Revenue: Walmart The annual revenue earned by...Ch. 14.4 - Prob. 42E Ch. 14.4 - Prob. 43E Ch. 14.4 - Prob. 44E Ch. 14.4 - Prob. 45E Ch. 14.4 - Prob. 46E Ch. 14.4 - Prob. 47E Ch. 14.4 - Saving for College When your first child is born,...Ch. 14.4 - Prob. 49E Ch. 14.4 - Prob. 50E Ch. 14.4 - Prob. 51E Ch. 14.4 - Prob. 52E Ch. 14.4 - Valuing Future Income Inga was injured and can no...Ch. 14.4 - Prob. 54E Ch. 14.4 - Prob. 55E Ch. 14.4 - Prob. 56E Ch. 14.4 - Prob. 57E Ch. 14.4 - Prob. 58E Ch. 14.4 - Prob. 59E Ch. 14.4 - Prob. 60E Ch. 14.4 - Prob. 61E Ch. 14.4 - Prob. 62E Ch. 14.5 - In Exercises 126, decide whether or not the given...Ch. 14.5 - Prob. 2E Ch. 14.5 - Prob. 3E Ch. 14.5 - Prob. 4E Ch. 14.5 - Prob. 5E Ch. 14.5 - Prob. 6E Ch. 14.5 - Prob. 7E Ch. 14.5 - Prob. 8E Ch. 14.5 - Prob. 9E Ch. 14.5 - Prob. 10E Ch. 14.5 - Prob. 11E Ch. 14.5 - Prob. 12E Ch. 14.5 - Prob. 13E Ch. 14.5 - Prob. 14E Ch. 14.5 - Prob. 15E Ch. 14.5 - Prob. 16E Ch. 14.5 - Prob. 17E Ch. 14.5 - Prob. 18E Ch. 14.5 - Prob. 19E Ch. 14.5 - Prob. 20E Ch. 14.5 - Prob. 21E Ch. 14.5 - Prob. 22E Ch. 14.5 - Prob. 23E Ch. 14.5 - Prob. 24E Ch. 14.5 - Prob. 25E Ch. 14.5 - Prob. 26E Ch. 14.5 - Prob. 27E Ch. 14.5 - Prob. 28E Ch. 14.5 - Prob. 29E Ch. 14.5 - Prob. 30E Ch. 14.5 - Prob. 31E Ch. 14.5 - Prob. 32E Ch. 14.5 - Prob. 33E Ch. 14.5 - Prob. 34E Ch. 14.5 - Prob. 35E Ch. 14.5 - Revenue from New Home Sales Revenue from the sale...Ch. 14.5 - Prob. 37E Ch. 14.5 - Prob. 38E Ch. 14.5 - Prob. 39E Ch. 14.5 - Prob. 40E Ch. 14.5 - Prob. 41E Ch. 14.5 - Prob. 42E Ch. 14.5 - Prob. 43E Ch. 14.5 - Prob. 44E Ch. 14.5 - Prob. 45E Ch. 14.5 - Prob. 46E Ch. 14.5 - Prob. 47E Ch. 14.5 - Prob. 48E Ch. 14.5 - Prob. 49E Ch. 14.5 - Prob. 50E Ch. 14.5 - Prob. 51E Ch. 14.5 - Prob. 52E Ch. 14.5 - Prob. 53E Ch. 14.5 - Prob. 54E Ch. 14.5 - Prob. 55E Ch. 14.5 - Meteor Impacts (continuing Exercise 55.) a....Ch. 14.5 - Prob. 57E Ch. 14.5 - Prob. 58E Ch. 14.5 - Prob. 59E Ch. 14.5 - Prob. 60E Ch. 14.5 - Prob. 61E Ch. 14.5 - Prob. 62E Ch. 14.5 - Prob. 63E Ch. 14.5 - Prob. 64E Ch. 14.5 - Prob. 65E Ch. 14.6 - Prob. 1E Ch. 14.6 - Prob. 2E Ch. 14.6 - In Exercises 1-10, find the general solution of...Ch. 14.6 - Prob. 4E Ch. 14.6 - Prob. 5E Ch. 14.6 - Prob. 6E Ch. 14.6 - Prob. 7E Ch. 14.6 - Prob. 8E Ch. 14.6 - Prob. 9E Ch. 14.6 - Prob. 10E Ch. 14.6 - Prob. 11E Ch. 14.6 - Prob. 12E Ch. 14.6 - Prob. 13E Ch. 14.6 - Prob. 14E Ch. 14.6 - Prob. 15E Ch. 14.6 - Prob. 16E Ch. 14.6 - Prob. 17E Ch. 14.6 - Prob. 18E Ch. 14.6 - Prob. 19E Ch. 14.6 - Prob. 20E Ch. 14.6 - Prob. 21E Ch. 14.6 - Prob. 22E Ch. 14.6 - Prob. 23E Ch. 14.6 - Newtons Law of Cooling For coffee in a paper cup,...Ch. 14.6 - Prob. 25E Ch. 14.6 - Prob. 26E Ch. 14.6 - Prob. 27E Ch. 14.6 - Prob. 28E Ch. 14.6 - Determining Demand Nancys Chocolates estimates...Ch. 14.6 - Prob. 30E Ch. 14.6 - Prob. 31E Ch. 14.6 - Prob. 32E Ch. 14.6 - Prob. 33E Ch. 14.6 - Prob. 34E Ch. 14.6 - Prob. 35E Ch. 14.6 - Prob. 36E Ch. 14.6 - Prob. 37E Ch. 14.6 - Prob. 38E Ch. 14.6 - Prob. 39E Ch. 14.6 - Prob. 40E Ch. 14.6 - Prob. 41E Ch. 14.6 - Prob. 42E Ch. 14.6 - Exercises 4144 require the use of technology....Ch. 14.6 - Prob. 44E Ch. 14.6 - Prob. 45E Ch. 14.6 - Prob. 46E Ch. 14.6 - Prob. 47E Ch. 14.6 - Prob. 48E Ch. 14.6 - Prob. 49E Ch. 14.6 - Prob. 50E Ch. 14 - Prob. 1RE Ch. 14 - Prob. 2RE Ch. 14 - Prob. 3RE Ch. 14 - In Exercises 1-10, evaluate the given integral....Ch. 14 - Prob. 5RE Ch. 14 - Prob. 6RE Ch. 14 - Prob. 7RE Ch. 14 - Prob. 8RE Ch. 14 - Prob. 9RE Ch. 14 - Prob. 10RE Ch. 14 - Prob. 11RE Ch. 14 - Prob. 12RE Ch. 14 - Prob. 13RE Ch. 14 - Prob. 14RE Ch. 14 - Prob. 15RE Ch. 14 - Prob. 16RE Ch. 14 - Prob. 17RE Ch. 14 - Prob. 18RE Ch. 14 - Prob. 19RE Ch. 14 - Prob. 20RE Ch. 14 - Prob. 21RE Ch. 14 - Prob. 22RE Ch. 14 - Prob. 23RE Ch. 14 - Prob. 24RE Ch. 14 - Prob. 25RE Ch. 14 - Prob. 26RE Ch. 14 - Prob. 27RE Ch. 14 - Prob. 28RE Ch. 14 - Prob. 29RE Ch. 14 - In Exercises 27-32, decide whether the given...Ch. 14 - Prob. 31RE Ch. 14 - Prob. 32RE Ch. 14 - Prob. 33RE Ch. 14 - Prob. 34RE Ch. 14 - Prob. 35RE Ch. 14 - Prob. 36RE Ch. 14 - Prob. 37RE Ch. 14 - Spending on Shipping During the past 10 months,...Ch. 14 - Prob. 39RE Ch. 14 - Investments OHaganBooks.com keeps its cash...Ch. 14 - Prob. 41RE Ch. 14 - Prob. 42RE Ch. 14 - Prob. 43RE Ch. 14 - Prob. 44RE Ch. 14 - Prob. 45RE Ch. 14 - Prob. 46RE Ch. 14 - Acquisitions The Megabucks Corporation is...Ch. 14 - Prob. 48RE Ch. 14 - Prob. 49RE Ch. 14 - Prob. 50RE

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The revenue that will be generated during the coming year where price of T-Shirts has been raising b 50 c per week, and sales have been falling continuously at rate of 2 % per week and 50 T-Shirts are being sold per week at a rate of $ 10 per T-Shirt.

Solution Summary: The author calculates the revenue that will be generated during the coming year where price of T-Shirts has been raising b 50overline)c per week, and sales have been falling continuously.

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To calculate: The revenue that will be generated during the coming year where price of T-Shirts has been raising b 50c per week, and sales have been falling continuously at rate of 2% per week and 50 T-Shirts are being sold per week at a rate of $10 per T-Shirt.

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Chapter 14 Solutions