Homework 8 - yp968 – Homework 8 – Radin – (58415) 1...

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Unformatted text preview: yp968 – Homework 8 – Radin – (58415) 1 This print-out should have 22 questions. Multiple-choice questions may continue on the next column or page – find all choices before answering. 001 10.0 points If the points (0 , 1) , ( 1 2 , 5) , (1 , 2) , ( 3 2 , 2) , (2 , 5) lie on the graph of a continuous function y = f ( x ), use the trapezoidal rule and all these points to estimate the definite integral I = integraldisplay 2 f ( x ) dx . 1. I ≈ 25 4 2. I ≈ 23 4 3. I ≈ 13 2 4. I ≈ 6 5. I ≈ 11 2 002 10.0 points The graph of a function f is shown in 2 4 6 8 10 2 4 6 8 Use Simpson’s Rule with n = 6 to estimate the integral I = integraldisplay 9 3 f ( x ) dx . 1. I ≈ 86 3 2. I ≈ 89 3 3. I ≈ 29 4. I ≈ 30 5. I ≈ 88 3 003 10.0 points If f is the function whose graph on [0 , 10] is given by 2 4 6 8 2 4 6 8 use the Trapezoidal Rule with n = 5 to esti- mate the definite integral I = integraldisplay 7 2 f ( x ) dx . 1. I ≈ 26 2. I ≈ 55 2 3. I ≈ 53 2 yp968 – Homework 8 – Radin – (58415) 2 4. I ≈ 27 5. I ≈ 51 2 004 10.0 points Below is the graph of a function f .- 1- 2- 3 1 2 3 2 4 6 Estimate the definite integral I = integraldisplay 3- 3 f ( x ) dx using the Midpoint Rule with six equal subin- tervals. 1. I ≈ 12 2. I ≈ 11 3. I ≈ 13 4. I ≈ 10 5. I ≈ 9 005 10.0 points Use Simpson’s Rule with 2 subintervals to estimate the area of the region in the first quadrant enclosed by the graph of f ( x ) = 2 ln(1 + 6 x- x 2 ) and the x-axis....
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This note was uploaded on 04/29/2008 for the course M 408L taught by Professor Radin during the Spring '08 term at University of Texas.

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Homework 8 - yp968 – Homework 8 – Radin – (58415) 1...

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