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 = (11-5)/6 = 1

11ea984b_b155_f105_9029_a9b493bf4463_TB4005_11 ≈ [(1/2)f(5) + f(6) + f(7) + f(8) + f(9) + f(10) + (1/2)f(11)]Δx

Substituting the given function:

11ea984b_b155_f105_9029_a9b493bf4463_TB4005_11 ≈ [(1/2)(84.06) + 99.32 + 116.6 + 136.74 + 159.57 + 184.91 + (1/2)(212.44)](1)

11ea984b_b155_f105_9029_a9b493bf4463_TB4005_11 ≈ 545.78

Thus, the best choice is C with an approximation of 545.78.

Use the Trapezoidal Rule to Approximate with N =