The water level in two vats rises and falls. At time t seconds, the amount of water in Vat A is A (t) = t² – 5t + 10 gallons and the amount in Vat B is B (t) = –0.5t² + 10t + 8 gallons. Find the longest interval of time on which the water level in both vats is increasing. How long is that interval? ANSWER: seconds Do not include units in your answer. Just a number. If rounding is necessary, round to two digits after the decimal.
The water level in two vats rises and falls. At time t seconds, the amount of water in Vat A is A (t) = t² – 5t + 10 gallons and the amount in Vat B is B (t) = –0.5t² + 10t + 8 gallons. Find the longest interval of time on which the water level in both vats is increasing. How long is that interval? ANSWER: seconds Do not include units in your answer. Just a number. If rounding is necessary, round to two digits after the decimal.
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:The water level in two vats rises and falls. At time t seconds, the
amount of water in Vat A is
A (t) = t2 – 5t + 10 gallons
-
and the amount in Vat B is
B (t) = -0.5t2 + 10t + 8 gallons.
Find the longest interval of time on which the water level in both vats
is increasing.
How long is that interval?
ANSWER:
seconds
Do not include units in your answer. Just a number. If rounding is
necessary, round to two digits after the decimal.
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