CALCULUS 5.1 --- Please Answer all

1.

\fWrite the sum using sigma notation: A 5 + 7 + 9 + 11 + . . . + 33 E B, where 71= 1 A = B =An object moves with velocity as given in the graph below (in ft/sec). How far did the object travel from t = 0 to t = 20? 4 velocity (#/sec) 2 10 15 20 25 30 35 40 45 time (sec) Q feetLet A(@) represent the area bounded by the graph, the horizontal axis, and the vertical lines at t = 0 and t = + for the graph below. Evaluate A(@) for x = 1, 2, 3, and 4. 4 4 Out A(1) = A(2) = A(3) = A(4) =Given the information below, estimate the total distance travelled during these 6 seconds using a left endpoint approximation. mm .I21 14 feet Speedometer readings for a vehicle (in motion) at 11-second intervals are given in the table. t (sec) v (ft/s) 0 44 11 50 22 52 33 32 44 45 55 39 Estimate the distance traveled by the vehicle during this 55-second period using the velocities at the beginning of the time intervals. distance traveled feet Give another estimate using the velocities at the end of the time periods. distance traveled feetLiquid leaked from a damaged tank at a rate of 1"{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. Find lower and upper estimates for the total amount of liquid that leaked out. lower estimate = I I liters upper estimate = I I liters When estimating distances from a table of velocity data, it is not necessary that the time intervals are equally spaced. After a space ship is launched, the following velocity data is obtained. Use these data to estimate the height above the Earth's surface at 130 seconds. t (sec) v (ft/=) 0 0 5 110 17 374 24 528 37 814 60 1320 64 1508 130 4610 lower estimate of distance traveled = miles upper estimate of distance traveled = miles Report answers accurate to 1 places. This is not meant to be a trick question...be careful of the UNITS!1 3+2 Estimate the area under the graph of z] = over the interval [ 1, 2] using eight approximating rectangles and right endpoints. Report answers accurate to 4 places. Remember not to round too early in your calculations. Speedometer readings for a vehicle (in motion) at 15-second intervals are given in the table. t (sec) 0 15 30 45 60 75 90 v (ft/s) 0 5 19 34 43 42 31 Estimate the distance traveled by the vehicle during this 90-second period using Lo, Re and M3. Lo = feet Ro = feet M3 = feet