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(1161 +1 1 135 MAT230 Area ICE ? Name 1. Approximate the definite integral with n = 4 using (a) the Trapezoid Rule and (b) Simpson's Rule: [ V1+ x2 dx (Leave answers as a sum of numbers) 2. Use Simpson's Rule: a. To estimate the area of an airplane wing cross-section where the gasoline tank will be located. A scale drawing of a cross section is shown (below). b. Use the result of part (a) to estimate the volume of the tank if the length of the airplane wing (to scale) is approximately 12 feet. V3 sting YA y'S yo = 1.5 ft, y1 = 1.6 ft. yz = 1.8 fi. Y3 = 1.9 ft. y4 - 2.0 fl. ys = )6 = 2.1 fi Horizontal spacing = I ft The airplane wing and tank cross