A 2,662-liter cistern is empty when water begins flowing into it (at t = 0) at a rate (in L/min) given by Q'(t) = 3/t, wheret is measured in minutes a. How much water flows into the cistern in 1.5 hours? b. Find the function that gives the amount of water in the tank at any time t2 0. c. When will the tank be full? ..... a. To find the amount of water that has flowed into the cistern within the given hours, what process is needed? Choose the correct choice below. O A. Find the area under the Q'(t) curve between the given value and t. O B. Find the area under the Q(t) curve between the given value and t. O C. Find the area under the Q'(t) curve between 0 and the given value. O D. Find the area under the Q(t) curve between 0 and the given value. In 1.5 hours. liters of water flows into the cistern. (Type an exact answer, using radicals as needed.) b. Find the function that gives the amount of water in the tank at any time t20. Q(t) = It will take minutes for the tank to be full.
A 2,662-liter cistern is empty when water begins flowing into it (at t = 0) at a rate (in L/min) given by Q'(t) = 3/t, wheret is measured in minutes a. How much water flows into the cistern in 1.5 hours? b. Find the function that gives the amount of water in the tank at any time t2 0. c. When will the tank be full? ..... a. To find the amount of water that has flowed into the cistern within the given hours, what process is needed? Choose the correct choice below. O A. Find the area under the Q'(t) curve between the given value and t. O B. Find the area under the Q(t) curve between the given value and t. O C. Find the area under the Q'(t) curve between 0 and the given value. O D. Find the area under the Q(t) curve between 0 and the given value. In 1.5 hours. liters of water flows into the cistern. (Type an exact answer, using radicals as needed.) b. Find the function that gives the amount of water in the tank at any time t20. Q(t) = It will take minutes for the tank to be full.
Chapter6: Exponential And Logarithmic Functions
Section6.1: Exponential Functions
Problem 60SE: The formula for the amount A in an investmentaccount with a nominal interest rate r at any timet is...
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A 2,662
Transcribed Image Text:A2,662-liter cistern is empty when water begins flowing into it (at t = 0) at a rate (in L/min) given by Q'(t) = 3/t, wheret is measured in minutes.
a. How much water flows into the cistern in 1.5 hours?
b. Find the function that gives the amount of water in the tank at any time t2 0.
c. When will the tank be full?
.....
a. To find the amount of water that has flowed into the cistern within the given hours, what process is needed? Choose the correct choice below.
O A. Find the area under the Q'(t) curve between the given value and t.
O B. Find the area under the Q(t) curve between the given value and t.
O C. Find the area under the Q'(t) curve between 0 and the given value.
O D. Find the area under the Q(t) curve between 0 and the given value.
In 1.5 hours,
(Type an exact answer, using radicals as needed.)
liters of water flows into the cistern.
b. Find the function that gives the amount of water in the tank at any time ta0.
Q(t) =
c. It will take
minutes for the tank to be full.
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