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# hw8 - Homework Assignment 8 8.7-9.5 1 If the trapezoid...

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Homework Assignment 8 – 8.7-9.5 1. If the trapezoid method is used to estimate ( 29 f 5 2 x dx , with n = 30, then the width (height) of each trapezoid will be 3/10. a. True b. False 2. The Trapezoid Rule estimate is the average of the Left Hand Endpoint estimate and the Right Hand Endpoint estimate. a. True b. False 3. Determine the values of n which guarantee a theoretical error less than ε = 0.001 if the integral is estimated by Simpson's rule for 4 1 x e dx a. 9 n b. 10 n c. 11 n d. 12 n e. 13 n f. None of these 4. Determine the values of n which guarantee a theoretical error less than ε = 0.01 if the integral is estimated by the Trapezoid rule for ( 29 4 2 sin 3 x dx 5. To plot (5, π /4) in polar coordinates, go out 5 units from the pole to the right, then rotate π /4 radians clockwise. a. True b. False

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