Answer Happy

5. Explain in your own words how the SMART Methodology of problem solving is done. 6. What are the main advantages and disadvantages of each of these 3 methods of dealing with numerical accuracy: rigorous propagation of error, typical science approach, and typical engineering approach? 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 BH. 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= +H so that y(0)=H and y(-B/2)=y(B/2)=0. -4H 72 B2 H I х B