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8. How large should n be so that the trapezoidal and Simpson's approximations to fe³t dt are within 000001 units of the actual value?

8. How large should n be so that the trapezoidal and Simpson's approximations to fe³t dt are within 000001 units of the actual value?

Advanced Engineering Mathematics
Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
Section: Chapter Questions
Problem 1RQ
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8. How large should n be so that the trapezoidal and Simpson's approximations to fe³t dt are within 000001 units of the actual value? 9. How large should n be to use Simpson's rule to approximate f sinx dx to within .00001 units of the actual value? If you used 10 subrectangles to approximate the value of the integral using Simpson's rule, give an upper bound for the error in the approximation.
Transcribed Image Text:8. How large should n be so that the trapezoidal and Simpson's approximations to fe³t dt are within 000001 units of the actual value? 9. How large should n be to use Simpson's rule to approximate f sinx dx to within .00001 units of the actual value? If you used 10 subrectangles to approximate the value of the integral using Simpson's rule, give an upper bound for the error in the approximation.
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