Suppose:• The vat contains 230 gallons of liquid, which never changes.• Sugar water with a concentration of 7 tablespoons/gallon flows through pipe A into the vat at therate of 5 gallons/minute.●Sugar water with a concentration of 3 tablespoons/gallon flows through pipe B into the vat at therate of 25 gallons/minute.• The liquid in the vat is kept well-mixed.• Sugar water leaves the vat through pipe C at the rate of 30 gallons/minute.Let S(t) represent the number of tablespoons of sugar in the vat at time t, where t is given in minutes.(A) Write the DE model for the time rate of change of sugar in the vat:dS2530-3523Xdt(B) Solve the differential equation to find the amount of sugar in the vat as a function of time. Yourfunction will have an arbitrary constant K in it. Assume that K > 0.S(t)= 250- KeX(C) Suppose that there are 22 tablespoons of sugar in the vat at t = 0. How many tablespoons will bepresent 2 minutes later?42x tablespoonsO# 33с14$%6&877O*O✔C Consider a large vat containing sugar water that is to be made into soft drinks (see figure below).ABSuppose:• The vat contains 230 gallons of liquid, which never changes.• Sugar water with a concentration of 7 tablespoons/gallon flows through pipe A into the vat at therate of 5 gallons/minute.• Sugar water with a concentration of 3 tablespoons/gallon flows through pipe B into the vat at therate of 25 gallons/minute.• The liquid in the vat is kept well-mixed.Sugar water leaves the vat through pipe C at the rate of 30 gallons/minute.Let S(t) represent the number of tablespoons of sugar in the vat at time t, where t is given in minutes.(A) Write the DE model for the time rate of change of sugar in the vat:dS2530-3523Xdt(B) Solve the differential equation to find the amount of sugar in the vat as a function of time. Yourfunction will have an arbitrary constant K in it. Assume that K > 0.S(t)= 250- KeX(C) Suppose that there are 22 tablespoons of sugar in the vat at t = 0. How many tablespoons will bepresent 2 minutes later?M

Introduction: In this issue, we will determine the rate of change of sugar in the vat while sugar…

C Suppose: • The vat contains 230 gallons of liquid, which never changes. ● Sugar water with a concentration of 7 tablespoons/gallon flows through pipe A into the vat at the rate of 5 gallons/minute. • Sugar water with a concentration of 3 tablespoons/gallon flows through pipe B into the vat at the rate of 25 gallons/minute. • The liquid in the vat is kept well-mixed. • Sugar water leaves the vat through pipe C at the rate of 30 gallons/minute.

C Suppose: • The vat contains 230 gallons of liquid, which never changes. ● Sugar water with a concentration of 7 tablespoons/gallon flows through pipe A into the vat at the rate of 5 gallons/minute. • Sugar water with a concentration of 3 tablespoons/gallon flows through pipe B into the vat at the rate of 25 gallons/minute. • The liquid in the vat is kept well-mixed. • Sugar water leaves the vat through pipe C at the rate of 30 gallons/minute.

Elements Of Electromagnetics

7th Edition

ISBN:9780190698614

Author:Sadiku, Matthew N. O.

Publisher:Sadiku, Matthew N. O.

ChapterMA: Math Assessment

Section: Chapter Questions

Problem 1.1MA

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