1. Approximate the area under the curve y=x3 from x=3 to x=6 using a Right Endpoint approximation with 6 subdivisions.

2. Calculate the midpoint Riemann sum for f(x)=?x on [1,3] ; n=4

3.

1 3+3 Estimate the area under the graph of f($) 2 over the interval [1, 6] using five approximating rectangles and right endpoints. m Repeat the approximation using left endpoints. Ln. = Report answers accurate to 4 places. Remember not to round too early in your calculations. Speedometer readings for a vehicle (in motion) at 12-second intervals are given in the table. t (sec) 0 12 24 36 48 60 72 v (ft/s) 0 5 19 34 43 42 31 Estimate the distance traveled by the vehicle during this 72-second period using L6, Re and M3. L6 = feet R6 = feet M3 = feetSpeedometer readings for a vehicle (in motion} at 9-second intervals are given in the table. Estimate the distance traveled by the vehicle during this 45-second period using the velocities at the beginning of the time intervals. 22 distance traveled ' ' feet Give another estimate using the velocities at the end of the time periods. distance traveled m ' 'feet