Water is leaking from a faucet at the rate of L(t) = 10e-0.5t gallons per hour, where t
is measured in hours. How many gallons of water will have leaked from the faucet
after a 24-hour period?
Solution:
Let L(x) = the no. of gallons that have leaked from the faucet after x hours
On a certain day, the changes in temperature in a given house beginning at 12:00
⎛ t⎞
noon are represented by f(t) = Sin ⎜ ⎟ degrees Fahrenheit, where t is the
⎝ 2⎠
number of hours elapsed after 12 noon. If at 12:00 noon the temperature is 95˚F,
find the temperature in the green house at 5:00 PM.
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