exam2 - Math 107 Calculus II Spring 2006 Midterm Exam II...

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Calculus
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Chapter 14 / Exercise 27
Calculus
Stewart
Expert Verified
Math 107: Calculus II, Spring 2006: Midterm Exam II Tuesday April 11, 2005 Give your name and at least one piece of information about your section: Name: Section day/time: Section number (1-6): TA (Tasky/Baber/Kramer): 1. There are five questions. Each is worth 20 points. 2. Do not open your booklet until told to begin. The exam will be 50 minutes long. 3. You may not use calculators, books, notes or any other paper. Write all your answers on this booklet. Additional paper is available if required. 4. You must show all your working and explain your answers clearly to obtain full credit! 5. Read the questions carefully! Some questions only require an answer, others re- quire particular explanations. If in doubt, write more! 1
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Calculus
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Chapter 14 / Exercise 27
Calculus
Stewart
Expert Verified
1. Calculate each of the following partial derivatives: (a) if f ( x, y ) = cos( xy ), find 2 f ∂x ∂y ; (b) if f ( x, y ) = x 2 y + x 3 y 3 + 1, find 2 f ∂x 2 ; (c) if f ( x, y ) = ( x + y ) - 1 / 2 , find 2 f ∂x ∂y . 2

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