1. Approximate TEL-cm: [.r} I) air using a Trapezoidal Riemann Sum with r: = 4. C3 2. Calculate a Left Hand Riemann Sum, using intervals as suggested by the data, to estimate I fflxhir given the table: (II 3. Suppose that ajet takes off, becomes airborne at a velocity of 180 mph and climbs to its cruising altitude. The following table gives the velocityr everyr minute for the rst 5 minutes, a time during which its speed increases smoothly. Time 1 2 3 (minutes) \"3'0\"\" 240 300 420 430 {mph} a. Use a Right Hand Riemann Sum with 5 sub-intervals to estimate how far the jet traveled in five minutes. b. Does the RHS provide an overestimate or an underestimate of the actual distance traveled by the jet from D to 5 minutes? How do you know? 4. Use a Midpoint Riemann Sum with 4 sub-divisions of equal width to approximate the area under the curve y = x3 + 1 on the interval [0, 8]. 5. Rewrite (12 -2) dx as the infinite limit of a Right Hand Riemann Sum. 6. Rewrite lim ) :(3 + #) in integral notation. 7. Based on the graph shown: a. Rank order the LHS, RHS, TRAP, and MID in order from least to greatest. b. Justify your answer in words