Quiz #4

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Gonzaga University *

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200

Subject

Aerospace Engineering

Date

Oct 30, 2023

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pdf

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2

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Note for Quiz #4
1. Find the local minima and maxima of ࠵?(࠵?) = ! ! ! "# . 2. Find the local minima and maxima of ℎ(࠵?) = ࠵?࠵? $! . 3.Identify the global minimum and maximum of ࠵?(࠵?) = |࠵?| − 3 on the intervals a) [-2,5] b) (−∞, ∞) 4. A grapefruit is tossed straight up with an initial velocity of 50 ft/sec. The grapefruit is 5 feet above the ground when it is released. Its height at time t is given by ࠵? = −16࠵? % + 50࠵? + 5 . How high does it go before returning to the ground? 5.When you cough, your windpipe contracts. The speed, ࠵?(࠵?) , with which you expel air depends on the radius, ࠵? , of your windpipe. If a is the normal (rest) radius of your windpipe, then for 0 ≤ ࠵? ≤ ࠵? , the speed is given by: ࠵?(࠵?) = ࠵?(࠵? − ࠵?)࠵? % where k is a positive constant. What value of r maximizes the speed? For what value is the speed minimized?
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