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37) Answer with full steps: A rover on Mars has just collected a very interesting soil sample. It will launch a two stage rocket to send the sample to an orbiting satellite for further analysis. The distance above the surface of Mars that the rocket carrying the sample is, after t hours, is given by f(t) = t^3 - 9t^2 + 24t kilometers. The First stage of the rocket has enough fuel to burn for exactly 6 hours. The rockets second stage should be Fired during this 6 hour window when the rockets height is maximized. When should the second stage be?

37) Answer with full steps: A rover on Mars has just collected a very interesting soil sample. It will launch a two stage rocket to send the sample to an orbiting satellite for further analysis. The distance above the surface of Mars that the rocket carrying the sample is, after t hours, is given by f(t) = t^3 - 9t^2 + 24t kilometers. The First stage of the rocket has enough fuel to burn for exactly 6 hours. The rockets second stage should be Fired during this 6 hour window when the rockets height is maximized. When should the second stage be?

Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
Glencoe Algebra 1, Student Edition, 9780079039897, 0079039898, 2018
18th Edition
ISBN:9780079039897
Author:Carter
Publisher:Carter
Chapter9: Quadratic Functions And Equations
Section9.2: Transformations Of Quadratic Functions
Problem 42HP
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37) Answer with full steps: A rover on Mars has just collected a very interesting soil sample. It will launch a two stage rocket to send the sample to an orbiting satellite for further analysis. The distance above the surface of Mars that the rocket carrying the sample is, after t hours, is given by f(t) = t^3 - 9t^2 + 24t kilometers. The First stage of the rocket has enough fuel to burn for exactly 6 hours. The rockets second stage should be Fired during this 6 hour window when the rockets height is maximized. When should the second stage be?
Transcribed Image Text:37) Answer with full steps: A rover on Mars has just collected a very interesting soil sample. It will launch a two stage rocket to send the sample to an orbiting satellite for further analysis. The distance above the surface of Mars that the rocket carrying the sample is, after t hours, is given by f(t) = t^3 - 9t^2 + 24t kilometers. The First stage of the rocket has enough fuel to burn for exactly 6 hours. The rockets second stage should be Fired during this 6 hour window when the rockets height is maximized. When should the second stage be?
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