Use the table values and apply the Simpson's Rule to approximate to one decimal place.
A)1.7
B)1.6
C)1.3
D)2.0
E)2.3

Question

Use the table values and apply the Simpson's Rule to approximate  to one decimal place.  ​​
A)1.7 
B)1.6 
C)1.3 
D)2.0 
E)2.3

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