A missile is launched with a constant thrust corresponding to an acceleration of "a" ft/sec². The missile's height after time "t" seconds is given by ƒ(t,.a)=(a−40)ț². 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 missile's height after time "t" seconds is given by ƒ(t,.a)=(a−40)ț². 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.
Chapter9: Quadratic Equations And Functions
Section9.6: Graph Quadratic Functions Using Properties
Problem 9.104TI: A path of a toy rocket thrown upward from the ground at a rate of 208 ft/sec is modeled by the...
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Transcribed Image Text:A missile is launched with a constant thrust corresponding to an acceleration of "a" ft/ sec?.
The missile's height after time "t" seconds is given by f(t.a) =(a- 40
40)r. 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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