Match each surface feature to the most appropriate optimizer. Explain your choice(s). (i) Nearly quadratic, (ii) sharp valley or cliff, (iii) multi-minima, and (iv) flat section. With a brief...

Match each surface feature to the most appropriate optimizer. Explain your choice(s). (i) Nearly quadratic, (ii) sharp valley or cliff, (iii) multi-minima, and (iv) flat section.

With a brief discussion (and possibly supporting illustration), explain why numerical estimates of the derivative are preferred over analytical true values.