Use the table values and apply the Simpson's Rule to approximate to one decimal place.

Name: Use the table values and apply the Simpson's Rule to approximate to one decimal place.
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Question

Use the table values and apply the Simpson's Rule to approximate  to one decimal place.  ​​

Quizplus · Accepted Answer

Using Simpson's Rule, we have:

h = (b-a)/n = (2-0)/2 = 1
x0 = 0, x1 = 1, x2 = 2
f(x0) = 0, f(x1) = 2, f(x2) = 4

11eb0d3b_98aa_96e7_9790_8d4ed85a74b9_TB1243_11 = (h/3) * [f(x0) + 4(f(x1)) + f(x2)]
= (1/3) * [0 + 4(2) + 4] = 2.7

Rounded to one decimal place, the answer is 2.0, which corresponds to choice D.

Use the Table Values and Apply the Simpson's Rule to Approximate