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A missile is launched with a constant thrust corresponding to an acceleration of "a" ft / sec². The 1 missile's height after time "t" seconds is given by f(t,a)=(a- 40)r² . Fuel usage and capacity is given by a't = 5,000 . Using Lagrange multiplier, find the value of "a" that maximizes the height of the missile when fuel runs out.

A missile is launched with a constant thrust corresponding to an acceleration of "a" ft / sec². The 1 missile's height after time "t" seconds is given by f(t,a)=(a- 40)r² . Fuel usage and capacity is given by a't = 5,000 . Using Lagrange multiplier, find the value of "a" that maximizes the height of the missile when fuel runs out.

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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A missile is launched with a constant thrust corresponding to an acceleration of "a" ft / sec?. The 1 missile's height after time "t" seconds is given by f(t,a) =(a– 40)r² . Fuel usage and capacity is given by a’t = 5,000. Using Lagrange multiplier, find the value of "a" that maximizes the height of the missile when fuel runs out.
Transcribed Image Text:A missile is launched with a constant thrust corresponding to an acceleration of "a" ft / sec?. The 1 missile's height after time "t" seconds is given by f(t,a) =(a– 40)r² . Fuel usage and capacity is given by a’t = 5,000. Using Lagrange multiplier, find the value of "a" that maximizes the height of the missile when fuel runs out.
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