3. Find the value of S(1)dt . Using correct units, what does this value represent? At time t= 0, there are 120 pounds of sand in a conical tank. Sand is being added to the tank at the rate ofS(1) = 2esin“ 1 +2 pounds per hour. Sand from the tank is used at a rate of R(t) = 5sin² t +3\7 pounds%3Dper hour. The tank can hold a maximum of 200 pounds of sand.

Solution Given The sand is being added to the tank at the rate of s(t)=2esin2t+2 pound per hourwe…

At time 1= 0, there are 120 pounds of sand in a conical tank. Sand is being added to the tank at the rate of S(r) = 2esin“ t per hour. The tank can hold a maximum of 200 pounds of sand. +2 pounds per hour. Sand from the tank is used at a rate of R(t) = 5sin² t +3/i pounds %3D

At time 1= 0, there are 120 pounds of sand in a conical tank. Sand is being added to the tank at the rate of S(r) = 2esin“ t per hour. The tank can hold a maximum of 200 pounds of sand. +2 pounds per hour. Sand from the tank is used at a rate of R(t) = 5sin² t +3/i pounds %3D

Trigonometry (MindTap Course List)

10th Edition

ISBN:9781337278461

Author:Ron Larson

Publisher:Ron Larson

Chapter6: Topics In Analytic Geometry

Section: Chapter Questions

Problem 33CT

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Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.

Question

3. Find the value of S(1)dt . Using correct units, what does this value represent?

At time t= 0, there are 120 pounds of sand in a conical tank. Sand is being added to the tank at the rate of
S(1) = 2esin“ 1 +2 pounds per hour. Sand from the tank is used at a rate of R(t) = 5sin² t +3\7 pounds
%3D
per hour. The tank can hold a maximum of 200 pounds of sand.

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