Using Gauss quadrature with 2 Gauss points, find the area under the curve defined by the polynomial y = 0.05x5 +0.2x + 43 between limits of -1 and 1. Give your answer to a precision of at least 4 significant figures. Your Answer:

A runner runs in a straight line and their distance traveled at time t is given by the formula d(t)=3t-0.05t2, where distance is in feet and t is in minutes.  Find the runners' average speed during the 2-minute interval beginning at time t=1. ANSWER:  ________ feet per minute  If rounding is necessary, round to two digits after the decimal.

What is the maximum height of the ball and when does it hit the ground if a ball is thrown with a velocity of 40ft/s, its height (in feet) after t seconds is given by h(t)=-16t2+40t.