Question

The widths (in meters) of a kidney-shaped swimming pool were measured at 4-meter intervals as indicated in the figure. Use Simpson's Rule to estimate the area of the pool. (Round your answer to the nearest square meter.) 140 x m2 5.6 5.0 6.8 4.8 4.8 7.2 6.2 Enhanced Feedback Please try again. Let x be the distance from the left side of the pool, measured in meters. Let f(x) be the width of the pool at x. So, f(O) = f(b) = 0. Use Simpson's Rule to approximate so f(x)dx. For using Simpson's Rule, set up an equation for a parabola for the three points involved in each of the four pairs of intervals. Use these parabolas to approximate the integral for each pair of intervals. L----------------------------------------------------------------- ----------------------------------------------------------------

Answer 1

The widths (in meters) of a kidney-shaped swimming pool were measured at 4-meter intervals as indicated in the figure. Use Simpson's Rule to estimate the area of the pool. (Round your answer to the nearest square meter.) 1140 x m² 5.6 5.0 6.8 4.8 72. 4.8 6.2 - 기8 1 。 Enhanced Feedback to Please try again. Let x be the distance from the left side of the pool, measured in meters. Let f(x) be the width of the pool at x. So, f(0) = f(b) = 0. Use Simpson's Rule to approximate f(x)dx. For using Simpson's Rule, set up an equation for a parabola for the three points involved in each of the four pairs of intervals. Use these parabolas to approximate the integral for each pair of intervals. °: S8 + 4 (d) + +-f) + 2 fi) + 4fol) + 2 Fi) + 2 fu + 4fa5 25m + Aft) + Fir) 혼 느 +4x5 4 a 유 + 4x6.2 + 27.2 + 4x 6 3 + 2x 5-6 + 2x 48 + 4×4.8 +o) 므 169 Sq. metal