A $25,000 car depreciates every year according to the formula V(t)=25000e 15t, where V is the value of the car in dollars, and t is the time, in years, since the car has been purchased. a) Find the instantaneous rate of change in the value of the car when lit is new. b) Find the instantaneous rate of change in the value of the car 10 years after it's been purchased.

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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A $25,000 car depreciates every year according to the formula
V(t)=25000e 15t, where V is the value of the car in dollars, and t is the
time, in years, since the car has been purchased.
a) Find the instantaneous rate of change in the value of the car when
lit is new.
b) Find the instantaneous rate of change in the value of the car 10
years after it's been purchased.
Transcribed Image Text:A $25,000 car depreciates every year according to the formula V(t)=25000e 15t, where V is the value of the car in dollars, and t is the time, in years, since the car has been purchased. a) Find the instantaneous rate of change in the value of the car when lit is new. b) Find the instantaneous rate of change in the value of the car 10 years after it's been purchased.
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