2 7. The Case Study 1.1 on page 13-14 of your textbook uses the fact that the area under a parabola (arch) with a base o

[answerhappygod]

2 7 The Case Study 1 1 On Page 13 14 Of Your Textbook Uses The Fact That The Area Under A Parabola Arch With A Base O 1 (100.31 KiB) Viewed 68 times

2 7. The Case Study 1.1 on page 13-14 of your textbook uses the fact that the area under a parabola (arch) with a base of length B, and a height of H equals zBH. The brilliant Greek mathematician, scientist, and engineer Archimedes (287?-212? BC) proved this without calculus. Prove it using calculus. Assume the parabola is centered on the vertical y-axis, the base sits on the x-axis, the maximum and minimum x values are +B/2, and the parabola has the formula y = x2 +H so that y(0)=H and y(-B/2)=y(B/2)=0. -4H = B2 H х E B