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Suppose that the value V of the inventory at Fido's Pet Supply, in thousands of dollars, decreases (depreciates) after t months, where V(t) = 50- 15t² (t+ 2)²

Suppose that the value V of the inventory at Fido's Pet Supply, in thousands of dollars, decreases (depreciates) after t months, where V(t) = 50- 15t² (t+ 2)²

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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Suppose that the value V of the inventory at Fido's Pet Supply, in thousands of dollars, decreases (depreciates) after t months, where 151² (t + 2)² V(t) = 50-
Transcribed Image Text:Suppose that the value V of the inventory at Fido's Pet Supply, in thousands of dollars, decreases (depreciates) after t months, where 151² (t + 2)² V(t) = 50-
a) Find V(0), V(5), V(30), and V(60). b) Find the maximum value of the inventory over the interval [0,∞). c) Sketch a graph of V. d) Does there seem to be a value below which V(t) will never fall? Explain.
Transcribed Image Text:a) Find V(0), V(5), V(30), and V(60). b) Find the maximum value of the inventory over the interval [0,∞). c) Sketch a graph of V. d) Does there seem to be a value below which V(t) will never fall? Explain.
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