Filling a pool A cross section of a rectangular pool of di- mensions 80 feet by 40 feet is shown in the figure. The pool is being filled with water at a rate of 10 ft/min. Exercise 81 80' 9 -20 (a) Express the volume V of the water in the pool as a func- tion of time t. (b) Express V as a function of the depth h at the deep end for 0 shs 6 and then for 6

Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter5: Inverse, Exponential, And Logarithmic Functions
Section5.6: Exponential And Logarithmic Equations
Problem 58E
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Filling a pool A cross section of a rectangular pool of di-
mensions 80 feet by 40 feet is shown in the figure. The pool
is being filled with water at a rate of 10 ft/min.
Exercise 81
80'
9
-20
(a) Express the volume V of the water in the pool as a func-
tion of time t.
(b) Express V as a function of the depth h at the deep end
for 0 shs 6 and then for 6 <hs 9.
(c) Express h as a function of t for 0 shs 6 and then for
6 <hs 9.
Transcribed Image Text:Filling a pool A cross section of a rectangular pool of di- mensions 80 feet by 40 feet is shown in the figure. The pool is being filled with water at a rate of 10 ft/min. Exercise 81 80' 9 -20 (a) Express the volume V of the water in the pool as a func- tion of time t. (b) Express V as a function of the depth h at the deep end for 0 shs 6 and then for 6 <hs 9. (c) Express h as a function of t for 0 shs 6 and then for 6 <hs 9.
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