:Use a Newton-Gregory polynomial (Forward & Backward) of degree 3 that fit table below, then find interpolates f (0.25) also estimate the error. X 0.2 0.22 0.24 0.26 0,28 0.29 Sin x 0.1987 0.2182 0.2377 0.2571 0.2764 0.2860

If you travel 300 miles on the first day and then drive v miles per hour for t hours on the second day, then the total distance traveled over the teo-day period is given by d=300+vt miles. Use a formula to express v as a function of d and t for this two-day event.

Repeat the previous exercise to find the formula forthe APY of an account that compounds daily. Usethe results from this and the previous exercise todevelop a function I(n)for the APY of any accountthat compounds n times per year.