136Probs5.8

# 136Probs5.8 - racy to within 0.00005 using a. the...

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These are the problem statements for the suggested problems for 5.8. In general, you will get the problems from the textbook, but I will post questions until everyone has a textbook. 5.8: 3, 7, 11, 13, 19, 21, 27, 29 5.8 #3: Approximate the integral with the speciﬁed number of subintervals using a. the trapezoidal rule b. Simpson’s rule Z 1 0 dx 1 + x 2 with n = 4 5.8 #7 Approximate the integral with the speciﬁed number of subintervals using a. the trapezoidal rule b. Simpson’s rule Z 2 0 xe - x dx with n = 6 5.8 #11 Estimate the value of the integral to within the prescribed accuracy. Z 1 0 dx x 2 + 1 with error less than 0 . 05. Use the trapezoidal rule. 5.8 #13 Estimate the value of the integral to within the prescribed accuracy. Z 1 0 cos 2 xdx accurate to three decimal places. Use Simpson’s rule. 5.8 #19 Determine how many subintervals are required to guarantee accu-

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Unformatted text preview: racy to within 0.00005 using a. the trapezoidal rule b. Simpsons rule Z 3 1 x-1 dx 5.8 #21 Determine how many subintervals are required to guarantee accu-racy to within 0.00005 using a. the trapezoidal rule b. Simpsons rule Z 4 1 dx x 5.8 #27 The width of an irregularly shaped dam is measured at 5-m intervals, with the results indicated in the picture below. Use the trapezoidal rule to estimate the area of the face of the dam. 1 5.8 #29 An industrial plant spills pollutant into a lake. The pollutant spread out to form the pattern shown below. All distances are in feet. Use Simpsons rule to estimate the area of the spill. 2...
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## This note was uploaded on 10/23/2011 for the course MATH 136 taught by Professor Prellis during the Spring '08 term at Rutgers.

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136Probs5.8 - racy to within 0.00005 using a. the...

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