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Approximation Worksheet 1

# Approximation Worksheet 1 - using the trapezoid method with...

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Name ________________________ Date ________________________ Period ________________________ AP Calculus AB 1. Using 4 intervals approximate the definite integral, dx x 4 0 2 , (area under the curve, Riemann Sum) by using the left, right, midpoint, and trapezoid method. Round your answer to three decimal places. 2. Using 4 intervals approximate the definite integral, ( 29 dx x 4 2 0 2 - , (area under the curve, Riemann Sum) by using the left, right, midpoint, and trapezoid method. Round your answer to three decimal places. 3. Use the table below to approximate dt ) t ( R 24 0 using the midpoint method with 4 subdivisions. Round your answer to three decimal places. t 0 3 6 9 12 15 18 21 24 R(t) 9.6 10.4 10.8 11.2 11.4 11.3 10.7 10.2 9.6 4. Use the table below to approximate dx ) x ( f 2 0

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Unformatted text preview: using the trapezoid method with 4 subdivisions. Round your answer to three decimal places. x 0.5 1.0 1.5 2.0 f(x) 3 3 5 8 13 5. Use the table below to approximate dx ) x ( f 8 2 ∫ using the trapezoid method with 3 subdivisions. Round your answer to three decimal places. x 2 4 6 8 f(x) 10 30 40 20 6. Use the table below to approximate dt ) t ( v 50 ∫ using the midpoint method with 5 subdivisions. Round your answer to three decimal places. t 5 10 15 20 25 30 35 40 45 50 v(t) 12 20 30 55 70 78 81 75 60 72 Answers 1. left = 14 right = 30 midpoint = 21 trapezoid = 22 2. left = 6.25 right = 4.25 midpoint = 5.375 trapezoid = 5.25 3. 258.6 4. 12 5. 170 6. 2530...
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