Propane is pumped into a tank at a constant rate of 6 gallons per minute. Propane leaks out of the tank at a rate of L (t) = gallons per minute. At t=0 the tank contains 20 gallons of propane. a. How many gallons of propane are pumped into the tank during the first 8 minutes? gallons b. Use a Trapezoid Riemann Sum with 4 trapezoids to estimate the amount of propane that leaks out of the tank during the first 8 minutes. Round in the last step to 4 decimal places. c. Use your estimate in b to approximate how many gallons of propane are in the tank at t = 8? gallons
Propane is pumped into a tank at a constant rate of 6 gallons per minute. Propane leaks out of the tank at a rate of L (t) = gallons per minute. At t=0 the tank contains 20 gallons of propane. a. How many gallons of propane are pumped into the tank during the first 8 minutes? gallons b. Use a Trapezoid Riemann Sum with 4 trapezoids to estimate the amount of propane that leaks out of the tank during the first 8 minutes. Round in the last step to 4 decimal places. c. Use your estimate in b to approximate how many gallons of propane are in the tank at t = 8? gallons
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:Propane is pumped into a tank at a constant rate of 6 gallons per
minute. Propane leaks out of the tank at a rate of L (t)
=
gallons
per minute. At t=0 the tank contains 20 gallons of propane.
a. How many gallons of propane are pumped into the tank during the
first 8 minutes?
gallons
b. Use a Trapezoid Riemann Sum with 4 trapezoids to estimate the
amount of propane that leaks out of the tank during the first 8 minutes.
Round in the last step to 4 decimal places.
c. Use your estimate in b to approximate how many gallons of propane
are in the tank at t = 8?
gallons
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