HW5 - the tank in 40 minutes then Torricelli’s Law gives...

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M408C, Homework 5 Instructor: Guoliang Wu 1 Quest – Deadline: Wed. 9 / 29, 4PM Please log onto Quest https://quest.cns.utexas.edu , and answer the ques- tions online. 2 Problems from textbook – Deadline: Thur. 9 / 30, Discussion Section Please explain your work! Correct answers alone are not enough. 1. Find the derivative of the function y = ax + x 2 + b 2 - 2 , where a and b are constants. 2. Find y 00 by implicit di ff erentiation x 4 + y 4 = 1 . 3. If a tank holds 5000 gallons of water, which drains from the bottom of
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Unformatted text preview: the tank in 40 minutes, then Torricelli’s Law gives the volume V of water remaining in the tank after t minutes as V = 5000 ³ 1-t 40 ´ 2 , ≤ t ≤ 40 (1) Find the rate at which water is draining from the tank after 10 minutes. (2) At what time is the water flowing out the fastest? The slowest? 1...
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