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Need help figuring out how to do C. for reference can no figure it ou

Need help figuring out how to do C. for reference can no figure it ou

Advanced Engineering Mathematics
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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Need help figuring out how to do C. for reference can no figure it out.

A reservoir with a capacity 3000 m³ is filled with a single inflow pipe. The reservoir is empty when the inflow pipe is opened at t=0. Letting Q(t) be the amount of water in the reservoir at time t, the flow rate of water into the reservoir (in m³/hr) oscillates on a 24-hr cycle (see figure) and is given by the following equation. Complete parts a through c. Q'(t) = 15 1+ cos 51+ a. How much water flows into the reservoir in the first 2 hr? (2)] 12 90 m³. T (Do not round until the final answer. Then round to two decimal places as needed.) b. Find the function that gives the amount of water in the reservoir over the interval [0,t] where t >0. The amount of water that flows into the reservoir is 30 + - Q(t) = 15 t+ (12) s sin ()) 12 c. When is the reservoir full? The reservoir is full after hours. (Type an integer or decimal rounded to two decimal places as needed.) C AQ' 40+ 20- 0- 0 12 24 t
Transcribed Image Text:A reservoir with a capacity 3000 m³ is filled with a single inflow pipe. The reservoir is empty when the inflow pipe is opened at t=0. Letting Q(t) be the amount of water in the reservoir at time t, the flow rate of water into the reservoir (in m³/hr) oscillates on a 24-hr cycle (see figure) and is given by the following equation. Complete parts a through c. Q'(t) = 15 1+ cos 51+ a. How much water flows into the reservoir in the first 2 hr? (2)] 12 90 m³. T (Do not round until the final answer. Then round to two decimal places as needed.) b. Find the function that gives the amount of water in the reservoir over the interval [0,t] where t >0. The amount of water that flows into the reservoir is 30 + - Q(t) = 15 t+ (12) s sin ()) 12 c. When is the reservoir full? The reservoir is full after hours. (Type an integer or decimal rounded to two decimal places as needed.) C AQ' 40+ 20- 0- 0 12 24 t
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