Rev T1 M272

Rev T1 M272 - Use a) the Trapezoidal Rule and b) Simpsons...

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Review for Test 1 MAT 272 Non-calculator portion. 1. - + dx 1 x 4 x 2 2 2. dx e x 3 x 4 3. - 9 x dx 2 4. dx ) x 2 ( cos ) x 2 ( sin 4 3 5. + 2 3 x 9 1 dx x 9 6. + - + dx x 4 x 8 x x 2 3 2 7. Determine if the following integral converges or diverges. If it converges, give its value. e dx x ln x 1 Calculator portion. 8. Find the work done in lifting a bucket of water weighing a total of 200 pounds by a pulley winding up a 50 foot chain initially weighing 100 lb. 9. Find the average value of the function f(x) = 5 x x 4 2 + from x = 2 to x = 8. Round to nearest .001. 10. Approximate the distance (in miles) traveled by a car having the following speedometer readings.
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Unformatted text preview: Use a) the Trapezoidal Rule and b) Simpsons Rule, each with n = 8. Round to nearest .001. time (min) 1 2 3 4 5 6 7 8 velocity (mi/hr) 50 55 56 52 58 60 62 64 63 Answers: 1. C 1 x 1 x ln 3 + +-2. C e 16 3 e x 4 3 x 4 x 4 +-3. C 9 x x ln 2 +-+ 4. C ) x 2 ( cos 14 1 ) x 2 ( cos 10 1 7 5 + +-5. C x 9 1 9 1 ) x 9 1 ( 27 1 2 2 3 2 + +-+ 6. C x x x + + +-2 tan 2 1 4 ln 1 2 2 7. Diverges 8. 12500 ft-lbs 9. 3.538 10. a) 7.725 miles b) 7.717 miles...
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This note was uploaded on 12/15/2011 for the course CSC 316 taught by Professor Rhee during the Spring '08 term at N.C. State.

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Rev T1 M272 - Use a) the Trapezoidal Rule and b) Simpsons...

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