1. Suppose the velocity of a moving object is given by thefunction f(t) = √ t for the time interval 0 ≤ t ≤ 2 sec.Approximate the total distance this object travels during thisentire time interval with:
(a) (4 pts) a Left-Hand Riemann sum using n = 4 rectangles.Write out the terms in the sum, but DO NOT evaluate it.
(b) (4 pts) a Right-Hand Riemann sum using n = 6 rectangles.Write out the terms in the sum, but DO NOT evaluate it.
(c) (2 pts) Draw a sketch of y = √ x to determine which sum isan overestimate of the total distance traveled during the giventime interval (circle one choice). Your sketch should justify howyou made your choice. • the Left-Hand Riemann sum • the Right-HandRiemann sum • neither
