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Unformatted text preview: Name 1 December 2011 Teaching Assistant Hour Test 3 Math 1501 C Andrew Instructions: 1. Closed book. 2. Show your work and explain your answers and reasoning. 3. Calculators may be used. Pay particular attention to instruction 2. To receive credit, you must show your work. Unexplained answers, and answers not supported by the work you show, will not receive credit. 4. Express your answers in simplified form. 1. (20) a. Calculate the first and second derivatives of )) ln(cos( ) ( x x g b. Differentiate ) 2 cos( ) ( 3 t e t f t c. Differentiate ) arctan( ) ( x x h 2. (20) Evaluate these integrals a. 2 3 2 sin cos dx x x b. 2 1 x x x d 3. (20) Evaluate these integrals a. 2 9 x dx x b. dx e x x 2 Name Page 2 of 3 Hour Test 3 Teaching Assistant 1 December 2011 4. (20) A spherical cap of height h is cut from a sphere of radius a . The volume of this cap may be computed as the volume obtained when the shaded region in the...
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This note was uploaded on 01/16/2012 for the course MATH 1501 taught by Professor N/a during the Fall '08 term at Georgia Institute of Technology.
- Fall '08