Math1B Quiz 2 - T be if we wish to guarantee that the error...

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QUIZ 2 NAME: SID: There are 4(!) questions! Please show all relevant work. Evaluate the following integrals. (1) Z 3 x 2 + 4 x + 3 x 3 + x 2 + x dx. (2) 8 Z 3 1 x x + 1 dx. Hint : First, convert the integral to the “usual” form. Date : February 6,2008. 1
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2 NAME: SID: (3) Z ln( x 2 + 2 x + 2) dx (4) Suppose we wish to compute T Z 1 ln( x ) dx using trapezoidal rule and 1000 segments. How large can
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Unformatted text preview: T be if we wish to guarantee that the error of the computation is smaller than 10-3 . Hint : the accuracy of the trapezoidal rule is bounded by K ( b-a ) 3 12 n 2 , where K = max x [ a,b ] | f 00 ( x ) | ....
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Math1B Quiz 2 - T be if we wish to guarantee that the error...

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