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 sts 10. During the same time interval, gasoline is drained out from the tank at a rate of D(t) = -0.02t + 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 = ar*h.) c) What is the maximum volume of gasoline in the tank over the interval0sts 10? Justify your answer. d) How fast is the gasoline level in the tank rising at time t = 4 hours? 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 sts 10. During the same time interval, gasoline is drained out from the tank at a rate of D(t) = -0.02t + 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 = ar*h.) c) What is the maximum volume of gasoline in the tank over the interval0sts 10? Justify your answer. d) How fast is the gasoline level in the tank rising at time t = 4 hours? Justify your answer.
Algebra and Trigonometry (6th Edition)
6th Edition
ISBN:9780134463216
Author:Robert F. Blitzer
Publisher:Robert F. Blitzer
ChapterP: Prerequisites: Fundamental Concepts Of Algebra
Section: Chapter Questions
Problem 1MCCP: In Exercises 1-25, simplify the given expression or perform the indicated operation (and simplify,...
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Question
Solve C and D
![9:49 AM Tue May 11
* 92%
Student Guide (continued)
FRQ 2
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
%3D
the function R, where R(t) = 1,000e 20 cubic feet per hour for 0 <t< 10. During the same time interval,
gasoline is drained out from the tank at a rate of D(t) = –0.02t° + 2.4t + 0.16t cubic feet per hour. (Note:
The volume V of a cylinder with radius r and height h is given by V = arh.)
%3D
c) What is the maximum volume of gasoline in the tank over the interval 0 <t < 10? Justify your
answer.
d) How fast is the gasoline level in the tank rising at time t = 4 hours? Justify your answer.](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F47ad01e0-8be2-4d44-b04c-834d5a8f10a4%2Fd894159f-3e3f-4d43-8693-65441a7a08da%2F9i3jcce_processed.jpeg&w=3840&q=75)
Transcribed Image Text:9:49 AM Tue May 11
* 92%
Student Guide (continued)
FRQ 2
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
%3D
the function R, where R(t) = 1,000e 20 cubic feet per hour for 0 <t< 10. During the same time interval,
gasoline is drained out from the tank at a rate of D(t) = –0.02t° + 2.4t + 0.16t cubic feet per hour. (Note:
The volume V of a cylinder with radius r and height h is given by V = arh.)
%3D
c) What is the maximum volume of gasoline in the tank over the interval 0 <t < 10? Justify your
answer.
d) How fast is the gasoline level in the tank rising at time t = 4 hours? Justify your answer.
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