Question
In: Advanced Math
Suppose we computed two trapezoidal rule approximations to the integral. An initial course estimate with segment...
Suppose we computed two trapezoidal rule approximations to the
integral. An initial course estimate with segment length 0.61
approximated the integral as 16.1. A second finer estimate with a
segment width half that of our first estimate was found to be 18.1.
Using these two approximations, find an approximation with error
O(h4).
Input your solution to three decimal places.
Solutions
Expert Solution
GIVEN DATA
SEGMENT LENGTH H1=0.61
H2= H1/0.61=0.305
APPROXIMATED INTIGRAL AS 16.1
A SECOND FINER ESTIMATE WITH A SEGMENT IDTH HALF THE OUR FIRST ESTIMATE WAS FOUND=18.1
USING THESE TWO APPROXIMATIONS FIND AN APPROXIMATION WITH ERROR O(h4)
Colby Messinger answered 1 year agoRelated Solutions
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