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Q8/ A tank contains 100 gal of fresh water. A solution containing 1 lb/gal of soluble lawn fertilizer runs into the tank at the rate of 1 gal/min, and the mixture is pumped out of the tank at the rate of 3 gal/min. If you know that the governing differential equation of amount of fertilizer at any time [y(t)] as shown below: dy 3 + 00³_zt): -)y = 1 2t dt i. Find the particular solution of the amount fertilizer within time ii. Find the maximum amount of fertilizer in the tank and the time required to reach the maximum. Ans. i) y (100-2t)- (100-2t) 10 ii) max 14.8 lb @t 27.8 min

Q8/ A tank contains 100 gal of fresh water. A solution containing 1 lb/gal of soluble lawn fertilizer runs into the tank at the rate of 1 gal/min, and the mixture is pumped out of the tank at the rate of 3 gal/min. If you know that the governing differential equation of amount of fertilizer at any time [y(t)] as shown below: dy 3 + 00³_zt): -)y = 1 2t dt i. Find the particular solution of the amount fertilizer within time ii. Find the maximum amount of fertilizer in the tank and the time required to reach the maximum. Ans. i) y (100-2t)- (100-2t) 10 ii) max 14.8 lb @t 27.8 min

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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Q8/ A tank contains 100 gal of fresh water. A solution containing 1 lb/gal of soluble lawn fertilizer runs into the tank at the rate of 1 gal/min, and the mixture is pumped out of the tank at the rate of 3 gal/min. If you know that the governing differential equation of amount of fertilizer at any time [y(t)] as shown below: 3 dy + dt 100 2t y = 1 i. Find the particular solution of the amount fertilizer within time ii. Find the maximum amount of fertilizer in the tank and the time required to reach the maximum. (100-2t) Ans. i) y (100-2t)- ii) max 14.8 lb @t 27.8 min 10
Transcribed Image Text:Q8/ A tank contains 100 gal of fresh water. A solution containing 1 lb/gal of soluble lawn fertilizer runs into the tank at the rate of 1 gal/min, and the mixture is pumped out of the tank at the rate of 3 gal/min. If you know that the governing differential equation of amount of fertilizer at any time [y(t)] as shown below: 3 dy + dt 100 2t y = 1 i. Find the particular solution of the amount fertilizer within time ii. Find the maximum amount of fertilizer in the tank and the time required to reach the maximum. (100-2t) Ans. i) y (100-2t)- ii) max 14.8 lb @t 27.8 min 10
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