Midterm Exam 1 Key

Midterm Exam 1 Key - MATH 1272 Midterm I Professor Bramson...

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MATH 1272 Name:_-----'- ~ ---'-----=--P'ji7---- / _ Midterm I T.A.: ______________ Professor Bramson October 6, 2011 INSTRUCTIONS: There are 100 points possible on the exam. Do as many problems as you can. Answers must be in the boxes provided to be counted. Show your work in the space provided below each problem - outside the boxes. If you need extra space, state where the work is being done. Also, be sure to justify your answers. Note that some formulas are given on page 7. Page 6 is provided as scratch; be sure your exam has all 7 pages. NO CALCULATORS are permitted. GOOD LUCK! 1. (10 pts) Which substitution should one try for J (sinxcosx)5 dx? (No justification is required.) V. )"Z ~ (Al u = sinx j( ~ >XX Cv<; '-k c:a Y )( ~ (B) u = tanx Lt -::: ~ /V\V- (C) u = sec x eltA -::. CD ~ Y Jy- (D) u = VI - x 2 (E) u = 1;x2 := j U ) ( 1- u ~r dLA- (F) u = + sec x (G) sin 2 x = l-c~S2X cos 2 X = 1+c~S2X I 2. (10 pts) Which substitution from Problem 1 should one J(sinxcosx)6 dx? (No justification is required.) Point total for page:
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-- - MATH 1272 Midterm I Page 2 3. (10 pts) Compute J e ffx dx.
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This note was uploaded on 02/02/2012 for the course MAP 2303 taught by Professor Bramson during the Fall '11 term at University of Florida.

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Midterm Exam 1 Key - MATH 1272 Midterm I Professor Bramson...

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