Use the Trapezoidal Rule, the Midpoint Rule, and Simpson's Rule to approximate the given integral with the specified value of n.
1 answer:
Answer:
- -1392.09
- -1744.43
- -1636.41
Step-by-step explanation:
using the given integral
calculate: Δx = (12-0) / 8 = 3/2
Xo = 0, f(x) =
X1 = 3/2 , X2 = 3, X3 = 9/2, X4 = 6, X5 = 15/2, X6 = 9, X7 = 21/2, X8 = 12
Inputting the given values into the Trapezoid rule, midpoint rule and Simpson's rule to approximate the given integral with the specified value of n = 8
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Using the given table:
a) the average rate of change is 32.5 jobs/year.
b) the average rate of change is 12.5 jobs/year.
<h3>How to find the average rate of change?</h3>
For a function f(x), the average rate of change on an interval [a, b] is:
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So the average rate of change is 32.5 jobs/year.
b) Now the interval is 1999 to 2001.
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So the average rate of change is 12.5 jobs/year.
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