MATH 253 2010 Midterm 2 Version D Solutions -...

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Calculus II Midterm 2March, 201021. (3 marks each; total 12 marks)Answer each question in the space provided.YouMUST show your work.a)Given the parametric equationstx25+=,1962++=ttyfinddxdyevaluated at the point (7, 16).b)Consider a 60 L tank filled with water, initially containing 0.03 kg of salt per litre.Water containing 0.1 kg/L of salt flows into the tank at the rate of 5 L/min. If thesalt-water solution in the tank is thoroughly mixed and flows out from the tank ata rate of 5 L/min, then set upthe differential equation describing the rate ofchange of salt (call itA) in kg in the tank as a function of time (call itt) inminutes, and state the corresponding initial condition.You do NOT have to solvethe equation.c)Ifuvwwvwuwvuf53cos),,(42++=, findvd)For what nonzero values ofkdoes the functionktBktAycossin+=satisfythe differential equation04=+yy?State all possible values.f

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Chapter 8 / Exercise 23
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Stewart
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Term
Winter
Professor
staff
Tags
Math, Calculus, Equations, Derivative, Parametric Equations, Constant of integration, Boundary value problem
We have textbook solutions for you!
The document you are viewing contains questions related to this textbook.
Calculus
The document you are viewing contains questions related to this textbook.
Chapter 8 / Exercise 23
Calculus
Stewart
Expert Verified

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