An employee at a garden center fills a water tank once a day around noon to a height of 20 inches. The function M models the height of the water in the tank, M(), in inches, z seconds after 12:00 p.m. on Monday as it fills. The function T gives the height of the water in the tank, 7(), in inches, a seconds after 12:00 p.m. on Tuesday as it fills. Here are the equations and graphs of M and T. On Wednesday, the employee gets a second hose and is able to fill the tank twice as fast as Monday. They start filling the tank at exactly 12:00 p.m. The function W models the height of the water in the tank, W (2), in inches, z seconds after 12:00 p.m as it fills. Write an algebraic equation for W. M(z) = 5V
An employee at a garden center fills a water tank once a day around noon to a height of 20 inches. The function M models the height of the water in the tank, M(), in inches, z seconds after 12:00 p.m. on Monday as it fills. The function T gives the height of the water in the tank, 7(), in inches, a seconds after 12:00 p.m. on Tuesday as it fills. Here are the equations and graphs of M and T. On Wednesday, the employee gets a second hose and is able to fill the tank twice as fast as Monday. They start filling the tank at exactly 12:00 p.m. The function W models the height of the water in the tank, W (2), in inches, z seconds after 12:00 p.m as it fills. Write an algebraic equation for W. M(z) = 5V
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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Transcribed Image Text:An employee at a garden center fills a water tank once a day around noon to a height of 20 inches. The
function M models the height of the water in the tank, M (), in inches, z seconds after 12:00 p.m. on Monday as it fills.
The function T gives the height of the water in the tank, T (), in inches, z seconds after 12:00 p.m. on Tuesday as it
fills. Here are the equations and graphs of M and T.
On Wednesday, the employee gets a second hose and is able to fill the tank twice as fast as Monday. They start
filling the tank at exactly 12:00 p.m. The function W models the height of the water in the tank, W(), in
inches, a seconds after 12:000 p.m as it fills. Write an algebraic equation for W.
M(z) 5
22
20
18
16
12
4.
10 20 30
40
50
60
80
time (seconds)
height (inches)
70
Transcribed Image Text:T(2) = 5Va-10
%3D
22
20
18
16
TX)
14
12
10
4
10 20
30
40
50
60
70
80
time (seconds)
height (inches)
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