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A reservoir with a capacity 3500 m 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 m/hr) oscillates on a 24-hr cycle (see figure) and is given by the following equation. Complete parts a throughc. AQ 60 40- Q'(t) =: 1+ cos 20- 12 a. How much water flows into the reservoir in the first 2 hr? The amount of water that flows into the reservoir is 97.75 m (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 t20. at 300 sin 12 Q(t) = 25t + c. When is the reservoir full? The reservoir is full after hours. (Type an integer or decimal rounded to two decimal places as needed.)

A reservoir with a capacity 3500 m 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 m/hr) oscillates on a 24-hr cycle (see figure) and is given by the following equation. Complete parts a throughc. AQ 60 40- Q'(t) =: 1+ cos 20- 12 a. How much water flows into the reservoir in the first 2 hr? The amount of water that flows into the reservoir is 97.75 m (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 t20. at 300 sin 12 Q(t) = 25t + c. When is the reservoir full? The reservoir is full after hours. (Type an integer or decimal rounded to two decimal places as needed.)

Calculus: Early Transcendentals
Calculus: Early Transcendentals
8th Edition
ISBN:9781285741550
Author:James Stewart
Publisher:James Stewart
Chapter1: Functions And Models
Section: Chapter Questions
Problem 1RCC: (a) What is a function? What are its domain and range? (b) What is the graph of a function? (c) How...
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A reservoir with a capacity 3500 m^3 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 m^3/hr) oscillates on a 24-hr cycle (see figure) and is given by the following equation. Complete parts a through c.

c. When is the reservoir full?

The reservoir is full after ______ hours.

Q' 60- A reservoir with a capacity 3500 m° 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 m /hr) oscillates on a 24-hr cycle (see figure) and is given by the following equation. Complete parts a through c. 40- Tt Q'(t) = 25 1+ cos 12 20- 0. 12 a. How much water flows into the reservoir in the first 2 hr? 3. The amount of water that flows into the reservoir is 97.75 m (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. 300 sin 12 Q(t) = 25t + c. When is the reservoir full? The reservoir is full after hours. (Type an integer or decimal rounded to two decimal places as needed.) 24
Transcribed Image Text:Q' 60- A reservoir with a capacity 3500 m° 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 m /hr) oscillates on a 24-hr cycle (see figure) and is given by the following equation. Complete parts a through c. 40- Tt Q'(t) = 25 1+ cos 12 20- 0. 12 a. How much water flows into the reservoir in the first 2 hr? 3. The amount of water that flows into the reservoir is 97.75 m (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. 300 sin 12 Q(t) = 25t + c. When is the reservoir full? The reservoir is full after hours. (Type an integer or decimal rounded to two decimal places as needed.) 24
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