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dS 65 = 580 dt 271 13 σ 580 -S 54 ☑ (B) Solve the differential equation to find the amount of sugar in the vat as a function of time. Your function will have an arbitrary constant K in it. Assume that 11 J. 65 S(t): = 2706 ✓ 2412 - 280e 31320 Ke 54 + 13 (C) Suppose that there are 32 tablespoons of sugar in the vat at t = 0. How many tablespoons will be present 4 minutes later? 385 1501.6989900366 tablespoons Suppose: • The vat contains 280 gallons of liquid, which • never changes. Sugar water with a concentration of 5 tablespoons/gallon flows through pipe A into the vat at the rate of 25 gallons/minute. • Sugar water with a concentration of 9 tablespoons/gallon flows through pipe B into the vat at the rate of 15 gallons/minute. • The liquid in the vat is kept well-mixed. • Sugar water leaves the vat through pipe C at the rate of 40 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: dS dt = (B) Solve the differential equation to find the amount of sugar in the vat as a function of time. Your function will have an arbitrary constant K in it. Assume that K > 0. S(t) = (C) Suppose that there are 38 tablespoons of sugar in the vat at t = 0. How many tablespoons will be present 3 minutes later? tablespoons

dS 65 = 580 dt 271 13 σ 580 -S 54 ☑ (B) Solve the differential equation to find the amount of sugar in the vat as a function of time. Your function will have an arbitrary constant K in it. Assume that 11 J. 65 S(t): = 2706 ✓ 2412 - 280e 31320 Ke 54 + 13 (C) Suppose that there are 32 tablespoons of sugar in the vat at t = 0. How many tablespoons will be present 4 minutes later? 385 1501.6989900366 tablespoons Suppose: • The vat contains 280 gallons of liquid, which • never changes. Sugar water with a concentration of 5 tablespoons/gallon flows through pipe A into the vat at the rate of 25 gallons/minute. • Sugar water with a concentration of 9 tablespoons/gallon flows through pipe B into the vat at the rate of 15 gallons/minute. • The liquid in the vat is kept well-mixed. • Sugar water leaves the vat through pipe C at the rate of 40 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: dS dt = (B) Solve the differential equation to find the amount of sugar in the vat as a function of time. Your function will have an arbitrary constant K in it. Assume that K > 0. S(t) = (C) Suppose that there are 38 tablespoons of sugar in the vat at t = 0. How many tablespoons will be present 3 minutes later? tablespoons

Algebra & Trigonometry with Analytic Geometry
Algebra & Trigonometry with Analytic Geometry
13th Edition
ISBN:9781133382119
Author:Swokowski
Publisher:Swokowski
Chapter7: Analytic Trigonometry
Section7.6: The Inverse Trigonometric Functions
Problem 94E
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dS 65 = 580 dt 271 13 σ 580 -S 54 ☑ (B) Solve the differential equation to find the amount of sugar in the vat as a function of time. Your function will have an arbitrary constant K in it. Assume that 11 J. 65 S(t): = 2706 ✓ 2412 - 280e 31320 Ke 54 + 13 (C) Suppose that there are 32 tablespoons of sugar in the vat at t = 0. How many tablespoons will be present 4 minutes later? 385 1501.6989900366 tablespoons
Transcribed Image Text:dS 65 = 580 dt 271 13 σ 580 -S 54 ☑ (B) Solve the differential equation to find the amount of sugar in the vat as a function of time. Your function will have an arbitrary constant K in it. Assume that 11 J. 65 S(t): = 2706 ✓ 2412 - 280e 31320 Ke 54 + 13 (C) Suppose that there are 32 tablespoons of sugar in the vat at t = 0. How many tablespoons will be present 4 minutes later? 385 1501.6989900366 tablespoons
Suppose: • The vat contains 280 gallons of liquid, which • never changes. Sugar water with a concentration of 5 tablespoons/gallon flows through pipe A into the vat at the rate of 25 gallons/minute. • Sugar water with a concentration of 9 tablespoons/gallon flows through pipe B into the vat at the rate of 15 gallons/minute. • The liquid in the vat is kept well-mixed. • Sugar water leaves the vat through pipe C at the rate of 40 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: dS dt = (B) Solve the differential equation to find the amount of sugar in the vat as a function of time. Your function will have an arbitrary constant K in it. Assume that K > 0. S(t) = (C) Suppose that there are 38 tablespoons of sugar in the vat at t = 0. How many tablespoons will be present 3 minutes later? tablespoons
Transcribed Image Text:Suppose: • The vat contains 280 gallons of liquid, which • never changes. Sugar water with a concentration of 5 tablespoons/gallon flows through pipe A into the vat at the rate of 25 gallons/minute. • Sugar water with a concentration of 9 tablespoons/gallon flows through pipe B into the vat at the rate of 15 gallons/minute. • The liquid in the vat is kept well-mixed. • Sugar water leaves the vat through pipe C at the rate of 40 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: dS dt = (B) Solve the differential equation to find the amount of sugar in the vat as a function of time. Your function will have an arbitrary constant K in it. Assume that K > 0. S(t) = (C) Suppose that there are 38 tablespoons of sugar in the vat at t = 0. How many tablespoons will be present 3 minutes later? tablespoons
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