Answered: For the function f(x) = sin approximate…

For the function f(x) = sin approximate 0.01 f(x) dx correct to twelve decimal places. Use the midpoint rule, trapezoidal rule, and Simson rule. How many subintervals were needed for each method?

Calculus For The Life Sciences

2nd Edition

ISBN:9780321964038

Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.

Chapter3: The Derivative

Section3.3: Rates Of Change

Problem 6E: Find the average rate of change for each function over the given interval. y=3x2 between x=1 and x=2

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Question

For the function f(x) = sin
approximate
0.01
f(x) dx
correct to twelve decimal places. Use the midpoint rule, trapezoidal rule, and Simson rule.
How many subintervals were needed for each method?

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Step 1 By Trapezoidal and Mid point rule

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