# 233-ReveiwShort-Exam2-Sp-2013 - Solutions to old Exam 2...

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Solutions to old Exam 2 problemsHi students!Check for updates on the web site and note that the exam will covermaterial through section 15.3 on changing the order of integration.There will be no problems on the following material on Exam 2:1Lagrange multipliers;2projectile problems and related velocity, length and accelerationproblems of particles or of curves.Problems on the above 2 topics will probably appear on the final exam.Enjoy!!Best,Bill MeeksPS. There are probably errors in the solutions presented here and for afew problems you need to complete them or simplify the answers; somequestions are left to you the student. Also you might need to add moredetailed explanations or justifications on the actual similar problems onyour exam.
Problem 26(a) - Exam 1 - Fall 2006Letg(x,y) =yex. Estimateg(0.1,1.9) using thelinear approximationL(x,y) ofg(x,y) at (x,y) = (0,2).
Problem 26(a) - Exam 1 - Fall 2006Letg(x,y) =yex. Estimateg(0.1,1.9) using thelinear approximationL(x,y) ofg(x,y) at (x,y) = (0,2).
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Problem 36 - Exam 1Find an equation for thetangent planeto the graph off(x,y) =ylnxat (1,4,0).
Problem 36 - Exam 1Find an equation for thetangent planeto the graph off(x,y) =ylnxat (1,4,0).
Problem 40 - Exam 1Explain why thelimitoff(x,y) = (3x2y2)/(2x4+y4) does not exist as(x,y) approaches (0,0).
Problem 40 - Exam 1Explain why thelimitoff(x,y) = (3x2y2)/(2x4+y4) does not exist as(x,y) approaches (0,0).
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Problem 42(a) - Exam 1Find all of the first order and second orderpartial derivativesof thefunctionf(x,y) =x3-xy2+y.
Problem 42(a) - Exam 1Find all of the first order and second orderpartial derivativesof thefunctionf(x,y) =x3-xy2+y.
Problem 1 - Exam 2 - Fall 2008
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