Carl Williams, the proprietor of Carl Williams Auto Sales, estimates that with extensive television advertising, car sales over the next several years could be increasing at the rate of 3e0.3t thousand cars/year, t years from now, instead of at the current rate of 3 + 0.5t3/2 thousand cars/year, t years from now. Find how many more cars Carl expects to sell over the next 6 years by implementing his advertising plans. Hint: Integrate the difference of the two functions using the appropriate bounds. Note that one will require substitution for integration while the other will not. (Multiply your answer by 1000 to account for the change in units from "thousand cars" to "cars." Then round to the nearest whole number.) ___ cars
Carl Williams, the proprietor of Carl Williams Auto Sales, estimates that with extensive television advertising, car sales over the next several years could be increasing at the rate of 3e0.3t thousand cars/year, t years from now, instead of at the current rate of 3 + 0.5t3/2 thousand cars/year, t years from now. Find how many more cars Carl expects to sell over the next 6 years by implementing his advertising plans. Hint: Integrate the difference of the two functions using the appropriate bounds. Note that one will require substitution for integration while the other will not. (Multiply your answer by 1000 to account for the change in units from "thousand cars" to "cars." Then round to the nearest whole number.) ___ cars
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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Effect of TV Adverstising on Car Sales
Carl Williams, the proprietor of Carl Williams Auto Sales, estimates that with extensive television advertising, car sales over the next several years could be increasing at the rate of3e0.3t
thousand cars/year, t years from now, instead of at the current rate of
3 + 0.5t3/2
thousand cars/year, t years from now. Find how many more cars Carl expects to sell over the next 6 years by implementing his advertising plans.
Hint: Integrate the difference of the two functions using the appropriate bounds. Note that one will require substitution forintegration while the other will not. (Multiply your answer by 1000 to account for the change in units from "thousand cars" to "cars." Then round to the nearest whole number.)
Hint: Integrate the difference of the two functions using the appropriate bounds. Note that one will require substitution for
___ cars
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