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Question 5 In 1999, the population of Richmond-Petersburg, Virginia, metropolitan area, was 961,400 and was increasing at a at roughly 9200 people per year. The average annual income in the area was $30,593 per capita, and this average was increasing at about $1400 per year. Use the product rule to estimate the rate at which total personal income was rising in the area at this time. Explain the meaning of each term in the product rule.

Question 5 In 1999, the population of Richmond-Petersburg, Virginia, metropolitan area, was 961,400 and was increasing at a at roughly 9200 people per year. The average annual income in the area was $30,593 per capita, and this average was increasing at about $1400 per year. Use the product rule to estimate the rate at which total personal income was rising in the area at this time. Explain the meaning of each term in the product rule.

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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Question 5 In 1999, the population of Richmond-Petersburg, Virginia, metropolitan area, was 961,400 and was increasing at a at roughly 9200 people per year. The average annual income in the area was $30,593 per capita, and this average was increasing at about $1400 per year. Use the product rule to estimate the rate at which total personal income was rising in the area at this time. Explain the meaning of each term in the product rule. Question 6 Use Logarithmic differentiation to prove the product rule and the quotient rule. Hint: Let f(x) = A(x)B(x) and g(x) = C(x)/D(x) to start then take the natural log of both sides of each equation and then take the derivative of both sides of the equation. Question 7 Use Logarithmic differentiation to find the derivative of a" for a positive constant a.
Transcribed Image Text:Question 5 In 1999, the population of Richmond-Petersburg, Virginia, metropolitan area, was 961,400 and was increasing at a at roughly 9200 people per year. The average annual income in the area was $30,593 per capita, and this average was increasing at about $1400 per year. Use the product rule to estimate the rate at which total personal income was rising in the area at this time. Explain the meaning of each term in the product rule. Question 6 Use Logarithmic differentiation to prove the product rule and the quotient rule. Hint: Let f(x) = A(x)B(x) and g(x) = C(x)/D(x) to start then take the natural log of both sides of each equation and then take the derivative of both sides of the equation. Question 7 Use Logarithmic differentiation to find the derivative of a" for a positive constant a.
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