Use the Trapezoidal Rule to approximate with n = 6. Round your answer to two decimal places.
A) 1091.56
B) 323.56
C) 545.78
D) 212.44
E) 444.44

Question

Use the Trapezoidal Rule to approximate  with n = 6. Round your answer to two decimal places. ​
A) 1091.56 
B) 323.56 
C) 545.78 
D) 212.44 
E) 444.44

Quizplus · Accepted Answer

Using the Trapezoidal Rule, we have:

Δx = (b - a) / n = (11 - 1) / 6 = 1.67
x0 = 1, x1 = 2, x2 = 3, x3 = 4, x4 = 5, x5 = 6, x6 = 11

11ea984b_b077_29ca_9029_db170a6099d8_TB4005_11 ≈ Δx / 2 [f(x0) + 2f(x1) + 2f(x2) + 2f(x3) + 2f(x4) + 2f(x5) + f(x6)]

11ea984b_b077_29ca_9029_db170a6099d8_TB4005_11 ≈ 1.67 / 2 [(f(1) + f(11)) + 2(f(2) + f(3) + f(4) + f(5) + f(6))]

11ea984b_b077_29ca_9029_db170a6099d8_TB4005_11 ≈ 545.78

Rounding to two decimal places, we get 545.78 as our answer, which corresponds to choice C.

Use the Trapezoidal Rule to Approximate with N =