A can is filling with water at a rate of of r(t) = t² If the can was empty at t = 0, what formula describes the amount of water in the can at time t = 4? Do not evaluate the integral. O 4 v(4) = 0 + ½ ft² dt 4 v(4) = 0 - 4 ¹ t² dt v(4) = 16 – S² t² dt 0 4 v(4) = 0 + √²t² dt cm³/sec.

Linear Algebra: A Modern Introduction
4th Edition
ISBN:9781285463247
Author:David Poole
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Chapter6: Vector Spaces
Section6.7: Applications
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r at a rate of r(t)
of r(t) = t²
If the can was empty at t = 0, what formula describes the amount of water in the can at time t = 4?
Do not evaluate the integral.
A can is filling with water at a rate of
4
v(4) = 0 + ½ ft² dt
4
4
v(4) = 0 − ¹ t² dt
Sª
v(4) =
4
v(4) = 0 + f²t² dt
0
16 -
16-t
S² t² dt
cm³/sec.
Transcribed Image Text:r at a rate of r(t) of r(t) = t² If the can was empty at t = 0, what formula describes the amount of water in the can at time t = 4? Do not evaluate the integral. A can is filling with water at a rate of 4 v(4) = 0 + ½ ft² dt 4 4 v(4) = 0 − ¹ t² dt Sª v(4) = 4 v(4) = 0 + f²t² dt 0 16 - 16-t S² t² dt cm³/sec.
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