This is an ungraded practice free response question! FRQ 2A graphing calculator is required for the following problem.Gasoline is pumped into a cylindrical tank with a radius of 16 feet and a height of 6 feet. The tank has 750cubic feet of gasoline at time t = 0 hours. The rate at which gasoline is pumped into the tank is given by12the function R, where R(t) = 1,000e 20 cubic feet per hour for 0 sts 10. During the same time interval,gasoline is drained out from the tank at a rate of D(t) = -0.02r° + 2.4t + 0.16t cubic feet per hour. (Note:The volume V of a cylinder with radiusr and height h is given by V = ar'h.)a) Determine the volume of gasoline pumped into the tank over the entire 10-hour interval.b) Describe all open intervals of t for which the volume of gasoline in the tank is increasing. Justifyyour answer.c) What is the maximum volume of gasoline in the tank over the interval 0 sts 10? Justify youranswer.d) How fast is the gasoline level in the tank rising at time t = 4 hours? Justify your answer.

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Description: This is an ungraded practice free response question! FRQ 2A graphing calculator is required for the following problem.Gasoline is pumped into a cylindrical tank with a radius of 16 feet and a height of 6 feet. The tank has 750cubic feet of gasoline a

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A graphing calculator is required for the following problem. Gasoline is pumped into a cylindrical tank with a radius of 16 feet and a height of 6 feet. The tank has 750 cubic feet of gasoline at time t=0 hours. The rate at which gasoline is pumped into the tank is given by the function R, where R(t) = 1,000e 20 cubic feet per hour for 0 st ≤ 10. During the same time interval, gasoline is drained out from the tank at a rate of D(t) = -0.02t³ +2.4t² +0.16t cubic feet per hour. (Note: The volume V of a cylinder with radius r and height h is given by V=²h.) a) Determine the volume of gasoline pumped into the tank over the entire 10-hour interval. b) Describe all open intervals of t for which the volume of gasoline in the tank is increasing. Justify your answer. c) What is the maximum volume of gasoline in the tank over the interval 0 st≤ 10? Justify your answer.

A graphing calculator is required for the following problem. Gasoline is pumped into a cylindrical tank with a radius of 16 feet and a height of 6 feet. The tank has 750 cubic feet of gasoline at time t=0 hours. The rate at which gasoline is pumped into the tank is given by the function R, where R(t) = 1,000e 20 cubic feet per hour for 0 st ≤ 10. During the same time interval, gasoline is drained out from the tank at a rate of D(t) = -0.02t³ +2.4t² +0.16t cubic feet per hour. (Note: The volume V of a cylinder with radius r and height h is given by V=²h.) a) Determine the volume of gasoline pumped into the tank over the entire 10-hour interval. b) Describe all open intervals of t for which the volume of gasoline in the tank is increasing. Justify your answer. c) What is the maximum volume of gasoline in the tank over the interval 0 st≤ 10? Justify your answer.

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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