exam1sol_s06

# exam1sol_s06 - Math 20C Calculus Midterm Exam I Solutions...

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Unformatted text preview: Math 20C Calculus Midterm Exam I Solutions 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 = 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 (1) Suppose that ~u = ~ i- ~ j + 2 ~ k and ~v = 2 ~ i- ~ j + ~ k . (a) Compute 2 ~u- ~v . 2 ~u- ~v = 2( ~ i- ~ j + 2 ~ k )- (2 ~ i- ~ j + ~ k ) =- ~ j + 3 ~ k . (b) Compute ~u · ~v . ~u · ~v = 1 · 2 + (- 1) · (- 1) + 2 · 1 = 5....
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exam1sol_s06 - Math 20C Calculus Midterm Exam I Solutions...

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