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The graph shows the rate of change of the revenue of a company from 2000 through 2015. dR dt 50 - 40- 30- 20 10- 4. 12 14 16 -10- -20- -30- Year (0 + 2000) (a) Approximate the rate of change of the revenue in 2002. Explain your reasoning. dR In 2002, t = 43X and = $ thousand per year. dt (b) Is R(6) – R(5) > 0? Explain your reasoning. dR and = $ dt Yes ; R(6) – R(5) > V 0. In 2005, t = thousand per year. Therefore, revenue increased V from 2005 to 2006. (c) Approximate the years in which the graph of the revenue is concave upward and the years in which it is concave downward. dR is increasing o dt Revenue is concave upward when . So, revenue is concave upward from 2000 to dR is decreasing O dt . So, and from to 2015. Revenue is concave downward when revenue is concave downward from to Approximate the years of any points of inflection. (Order your answers from smallest to largest x, then from smallest to largest y.) (х, у) %3D (х, у) %3D Rate of change of revenue (in thousands of dollars per year)

The graph shows the rate of change of the revenue of a company from 2000 through 2015. dR dt 50 - 40- 30- 20 10- 4. 12 14 16 -10- -20- -30- Year (0 + 2000) (a) Approximate the rate of change of the revenue in 2002. Explain your reasoning. dR In 2002, t = 43X and = $ thousand per year. dt (b) Is R(6) – R(5) > 0? Explain your reasoning. dR and = $ dt Yes ; R(6) – R(5) > V 0. In 2005, t = thousand per year. Therefore, revenue increased V from 2005 to 2006. (c) Approximate the years in which the graph of the revenue is concave upward and the years in which it is concave downward. dR is increasing o dt Revenue is concave upward when . So, revenue is concave upward from 2000 to dR is decreasing O dt . So, and from to 2015. Revenue is concave downward when revenue is concave downward from to Approximate the years of any points of inflection. (Order your answers from smallest to largest x, then from smallest to largest y.) (х, у) %3D (х, у) %3D Rate of change of revenue (in thousands of dollars per year)

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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The graph shows the rate of change of the revenue of a company from 2000 through 2015. dR 50 - 40 - 30- 20 10- 4. 8 12 14 16 - 10- -20 - -30- Year (0 + 2000) (a) Approximate the rate of change of the revenue in 2002. Explain your reasoning. dR In 2002, t = 43 X and = $ thousand per year. dt (b) Is R(6) – R(5) > 0? Explain your reasoning. dR and = $ dt Yes ; R(6) – R(5) >• 0. In 2005, t = thousand per year. Therefore, revenue increased V from 2005 to 2006. (c) Approximate the years in which the graph of the revenue is concave upward and the years in which it is concave downward. dR is increasing dt Revenue is concave upward when . So, revenue is concave upward from 2000 to dR is decreasing O dt . So, and from to 2015. Revenue is concave downward when revenue is concave downward from to Approximate the years of any points of inflection. (Order your answers from smallest to largest x, then from smallest to largest y.) (х, у) %3D (х, у) %3D Rate of change of revenue (in thousands of dollars per year)
Transcribed Image Text:The graph shows the rate of change of the revenue of a company from 2000 through 2015. dR 50 - 40 - 30- 20 10- 4. 8 12 14 16 - 10- -20 - -30- Year (0 + 2000) (a) Approximate the rate of change of the revenue in 2002. Explain your reasoning. dR In 2002, t = 43 X and = $ thousand per year. dt (b) Is R(6) – R(5) > 0? Explain your reasoning. dR and = $ dt Yes ; R(6) – R(5) >• 0. In 2005, t = thousand per year. Therefore, revenue increased V from 2005 to 2006. (c) Approximate the years in which the graph of the revenue is concave upward and the years in which it is concave downward. dR is increasing dt Revenue is concave upward when . So, revenue is concave upward from 2000 to dR is decreasing O dt . So, and from to 2015. Revenue is concave downward when revenue is concave downward from to Approximate the years of any points of inflection. (Order your answers from smallest to largest x, then from smallest to largest y.) (х, у) %3D (х, у) %3D Rate of change of revenue (in thousands of dollars per year)
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