It takes 12 hours to drain a storage tank by opening the valve at the bottom. The
Question:
It takes 12 hours to drain a storage tank by opening the valve at the bottom. The depth y of fluid in the tank t hours after the valve is opened is given by the formula
a. Find the rate dy/dt (m/h) at which the tank is draining at time t.
b. When is the fluid level in the tank falling fastest? Slowest? What are the values of dy/dt at these times?
c. Graph y and dy/dt together and discuss the behavior of y in relation to the signs and values of dy/dt.
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a b The largest value ...View the full answer
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Related Book For 
Thomas Calculus Early Transcendentals
ISBN: 9780321884077
13th Edition
Authors: Joel R Hass, Christopher E Heil, Maurice D Weir
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