Explanation Given Information: The provided table is, x 0 1 2 3 4 5 6 7 s ( x ) 1 5 1 s ¯ ( x ) 5 5 2 3 2 Formula used: For any natural number m, the average of m numbers is, b 1 + b 2 + ..... + b m m , where each number is denoted by b i ( i = 1 , 2 , ..... , m ) . The n-unit moving average of a function s ( x ) is, for each x , the average of values of s ( x ) together with the values of s ( x ) for the previous n − 1 values of x . That is, the n -unit moving average of a function s ( x ) for x = x t is, s ¯ ( x t ) = s ( x t ) + s ( x t − 1 ) + … + s ( x t − ( n − 1 ) ) n . Calculation: Consider the table, x 0 1 2 3 4 5 6 7 s ( x ) 1 5 1 s ¯ ( x ) 5 5 2 3 2 Let x i denote the values of x for 1 ≤ i ≤ 8 . That is, x 1 = 0 , x 2 = 1 , x 3 = 2 , x 4 = 3 , and x 5 = 4 , x 6 = 5 , x 7 = 6 , x 8 = 7 . The provided values of function are, s ( x 1 ) = 1 , s ( x 2 ) = 5 , s ( x 4 ) = 1 and the provided values of its 3-unit moving average is s ¯ ( x 3 ) = 5 , s ¯ ( x 5 ) = 5 , s ¯ ( x 6 ) = 2 , s ¯ ( x 7 ) = 3 , s ¯ ( x 8 ) = 2 . Recall that, the n -unit moving average of a function s ( x ) is, for each x , the average of values of s ( x ) together with the values of s ( x ) for the previous n − 1 values of x . That is, the n -unit moving average of a function s ( x ) for x = x t is, s ¯ ( x t ) = s ( x t ) + s ( x t − 1 ) + … + s ( x t − ( n − 1 ) ) n . The provided value of n is 3. Consider x = x 3 . Substitute 3 for t in s ¯ ( x t ) = s ( x t ) + s ( x t − 1 ) + … + s ( x t − ( n − 1 ) ) n . s ¯ ( x 3 ) = s ( x 3 ) + s ( x 2 ) + s ( x 1 ) 3 5 = s ( x 3 ) + 5 + 1 3 5 = s ( x 3 ) + 6 3 Multiply both sides by 3. 5 ⋅ 3 = s ( x 3 ) + 6 3 ⋅ 3 15 = s ( x 3 ) + 6 15 − 6 = s ( x 3 ) s ( x 3 ) = 9 Thus, s ( x 3 ) = 9 . Consider x = x 4 . Substitute 4 for t in s ¯ ( x t ) = s ( x t ) + s ( x t − 1 ) + … + s ( x t − ( n − 1 ) ) n . s ¯ ( x 4 ) = s ( x 4 ) + s ( x 3 ) + s ( x 2 ) 3 = 1 + 9 + 5 3 = 15 3 = 5 Thus, s ¯ ( x 4 ) = 5 . Consider x = x 5

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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Domain

In simple mathematics terms, a domain is defined as the space on which all the possible inputs for the function will lie. It can also be expressed as a set of departures for the required function.

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Question

Chapter 14.3, Problem 12E

To determine

To calculate: The missing values of the function s(x) and its 3-unit moving average from the table.

x 0 1 2 3 4 5 6 7

s(x) 1 5 1

s¯(x) 5 5 2 3 2

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Chapter 14.3, Problem 11E

Chapter 14.3, Problem 13E

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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 missing values of the function s ( x ) and its 3-unit moving average from the table. x 0 1 2 3 4 5 6 7 s ( x ) 1 5 1 s ¯ ( x ) 5 5 2 3 2

Solution Summary: The author calculates the missing values of the function s(x) and its 3-unit moving average from the table.

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To calculate: The missing values of the function s(x) and its 3-unit moving average from the table.

x 0 1 2 3 4 5 6 7

s(x) 1 5 1

s¯(x) 5 5 2 3 2

Want to see the full answer?

Chapter 14 Solutions

The missing values of the function s ( x ) and its 3-unit moving average from the table. x 0 1 2 3 4 5 6 7 s ( x ) 1 5 1 s ¯ ( x ) 5 5 2 3 2

Solution Summary: The author calculates the missing values of the function s(x) and its 3-unit moving average from the table.

Concept explainers

Videos

To calculate: The missing values of the function s(x) and its 3-unit moving average from the table. x 0 1 2 3 4 5 6 7 s(x) 1 5 1 s¯(x) 5 5 2 3 2

Want to see the full answer?

Chapter 14 Solutions

To calculate: The missing values of the function s(x) and its 3-unit moving average from the table.

x 0 1 2 3 4 5 6 7

s(x) 1 5 1

s¯(x) 5 5 2 3 2