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Unformatted text preview: Math 20C Calculus Practice Midterm I April 16, 2007 Name: ID: Section Hour: TA: 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 Arclength: L = Z b a | r ( t ) | dt Arclength function: s ( t ) = Z t a | r ( u ) | du Vectors T , N , and B : T ( t ) = r ( t ) | r ( t ) | N ( t ) = T ( t ) | T ( t ) | B ( t ) = T ( t ) × N ( t ) Formulas for curvature: κ = d T ds = | T ( t ) | | r ( t ) | = | r ( t ) × r 00 ( t ) | | r ( t )...
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This note was uploaded on 09/12/2008 for the course MATH 20C taught by Professor Helton during the Spring '08 term at UCSD.
- Spring '08