1. Approximate the area under the curve y=x3y=x3 from x=0x=0 to x=2x=2 using a Right Endpoint approximation with 4 subdivisions.

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Approximate the area under the curve graphed below from a: = 3 to a: = 7 using a Left Endpoint approximation with 4 subdivisions. Estimate the area under the graph of f(a:) = over the interval [1, 3] using five approximating a: + 2 rectangles and right endpoints. Rn=[:J Repeat the approximation using left endpoints. Report answers accurate to 4 places. Remember not to round too early in your calculations. 4 NO 2 4 To find the blue shaded area above, we would calculate: f(x)dx = area a Where: a = b f(z) areaEvaluate the definite integral by interpreting it in terms of areas. 6 (2x - 10) dx 2 Question Help: VideoLiquid leaked from a damaged tank at a rate of 'r(t) liters per hour. The rate decreased as time passed and values of the rate at three-hour time intervals are shown in the table. Hill] rm (Uh) Find lower and upper estimates for the total amount of liquid that leaked out. lower estimate = :] liters upper estimate = :] liters Evaluate the integral below by interpreting it in terms of areas in the figure. The areas of the labeled regions are A1: 5, A2=3, A3=2 and A4=2 (figure is NOT to scale) V = A7f(a:)das hm Speedometer readings for a vehicle (in motion at 6-second intervals are given in the table. Estimate the distance traveled by the vehicle during this 30-second period using the velocities at the beginning of the time intervals. distance traveled N I: feet Give another estimate using the velocities at the end of the time periods. distance traveled N [: feet 2 2