Approximation Worksheet 2

# Approximation Worksheet 2 - + + + + + 20 20 20 19 20 3 20 2...

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Name ___________________________ Date ___________________________ Period ___________________________ AP Calculus AB 1. Approximate the definite integral (area under the curve, Riemann Sum) of dx x 10 2 2 with 4 subintervals using the left, right, trapezoid and midpoint method. Round your answer to three decimal places. 2. Approximate the definite integral (area under the curve, Riemann Sum) of dx x 8 1 with 5 subintervals using the left, right, trapezoid and midpoint method. Round your answer to three decimal places. 3. Use the table below to approximate 12 0 dt ) t ( G using the trapezoid method with 6 subintervals. Round your answer to three decimal places. t 0 2 4 6 8 10 12 G(t) 1 3 5 7 9 11 13 4. The function f is continuous on the closed interval [ ] 8 , 2 and has values that are given in the table below. Using the subintervals [ ] 5 , 2 , [ ] 7 , 5 , [ ] 8 , 7 , what is the trapezoidal approximation of 8 2 dx ) x ( f ? x 2 5 7 8 f(x) 10 30 40 20 5. Use the table below to approximate 90 0 dt ) t ( R using a left Riemann sum with five subintervals. t 0 30 40 50 70 90 R(t) 20 30 40 55 65 70 6.

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Unformatted text preview: + + + + + 20 20 20 19 20 3 20 2 20 1 20 1 is a Riemann Sum approximation of 1 ________ . (Hint: Work backwards). 7. + + + + + 2 2 2 2 2 40 39 40 38 40 2 40 1 40 40 1 is a Riemann Sum approximation of 1 ________ . (Hint: Work backwards). 8. + + + + + 3 3 3 3 3 50 50 50 49 50 3 50 2 50 1 50 1 is a Riemann Sum approximation of 1 ________ . (Hint: Work backwards). Answers 1. left = 240 right = 432 trapezoid = 336 midpoint = 328 2. left = 13.087 right = 15.646 trapezoid = 14.367 midpoint = 14.443 3. 84 4. 160 5. 3700 6. dx x 7. x 2 dx 8. x 3 dx...
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## This note was uploaded on 02/21/2010 for the course MATH 1A/Ma taught by Professor (all) during the Spring '10 term at University of California, Berkeley.

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Approximation Worksheet 2 - + + + + + 20 20 20 19 20 3 20 2...

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