Question

A cross-section of an airplane wing is provided with measurements of the wing's thickness in centimeters at 21-centimeter intervals: 6.1, 19.9, 26.3, 29.0, 27.6, 27.3, 23.3, 20.6, 15.4, 8.8, and 2.5. Calculate the estimated area of the wing's cross-section using the Midpoint Rule with n = 5, given that a = 210. (Assume the thickness of the edges is nonzero.)

Answer 1

To calculate the estimated area of the wing's cross-section using the Midpoint Rule, find the average thickness and multiply it by the width of each interval.

Step-by-step explanation:

To calculate the estimated area of the wing's cross-section using the Midpoint Rule, we need to find the average of the thickness measurements and multiply it by the width of each interval.

Step 1: Find the average of the thickness measurements. (6.1 + 19.9 + 26.3 + 29.0 + 27.6 + 27.3 + 23.3 + 20.6 + 15.4 + 8.8 + 2.5) / 11 = 20.91 cm.

Step 2: Calculate the width of each interval. 21 cm / 5 = 4.2 cm.

Step 3: Multiply the average thickness by the width of each interval. 20.91 cm * 4.2 cm = 87.51 cm².