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exam1_s06

# exam1_s06 - Math 20C Calculus Midterm Exam I Name Lecture...

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Math 20C Calculus Midterm Exam I April 24, 2006 Name: Lecture Hour: Section Hour: Guidelines for the test: No books, notes, or calculators are allowed. You may leave answers in symbolic form, like 42, unless they simplify further, like 9 = 3 , e 0 = 1, or cos(3 π/ 4) = - 2 / 2. Use the space provided. If necessary, write “see other side” and continue working on the back of the same sheet. Circle your final answers when relevant. Show all steps in your solutions and make your reasoning clear. Answers with no explanation will receive no credit, even if they are correct. You have 50 minutes. Question # Perfect Score Your Score 1 20 2 20 3 20 4 20 5 20 TOTAL 100

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(1) Suppose that u = i - j + 2 k and v = 2 i - j + k . (a) Compute 2 u - v . (b) Compute u · v . (c) Suppose θ is the angle between u and v . Find cos θ . (d) Find the scalar projection of v onto u . Page 1
(2) (a) Match the following equations (i)-(iii) with the graphs (I)-(III). Briefly explain your decisions.

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