Sketch the region enclosed by the given curves. x = 3y , x=8+ y2 THAT -3 -2 -1 2 12 26 101 -4 - 6 2 10 12 -12 -10 6 -6 -4 -2 -1 -1 -10 -2 -2 -12 0-3 O -3 AO 40-3 -2 -1 2 A Find the area of the region. X Enhanced Feedback Please try again. Start by finding the points on which the curves intersect. Recall that the area A bounded by the curves x = (y), x = g(y), and the lines y = a, y = b, where and g are continuous and R(y) 2 g(y) for all y in [s, b], is A = / [Ry) - s(y)] dy. Need Help? Read It Watch it Submit Answer [-/1 Points] DETAILS SCALCET9 6.1.056. MY NOTES The widths (in meters) of a kidney-shaped swimming pool were measured at 3-meter intervals as indicated in the figure. 3.4 2.8 2.5 2.4 3.1 3.6 Use the midpoint rule with n = 4 to estimate the area (in m ) of the pool. m Need Help? Read It Submit Answer1. [-/2 Points] DETAILS Dil leaked from a tank at a rate of r(t) liters per hour. The rate decreased as time passed, and values of the rate at two-hour time intervals are shown in the table. t (h) 4 10 r(t) (L/h) 8.9 7.5 5.7 6.2 5.6 5. Find lower and upper estimates for the total amount of oil (in liters) that leaked from the tank over the interval [0, 10]. (Use five equal subintervals.) lower estimate upper estimate Submit Answer 2. [-/1 Points] DETAILS SCALCET9 5.1.014. The graph of the velocity of a car accelerating from rest to a speed of 60 km/h over a period of 30 seconds is shown. v (km/h) 60 40 20 20 30 - t (seconds) 10 Use this graph and a midpoint Riemann sum with six equal subintervals to estimate the distance traveled (in km) by the car during this time period. (Round your answer to two decimal places.) km Submit Answer 3. [0/1 Points] DETAILS PREVIOUS ANSWERS SCALCET9 5.2.054. Use the properties of integrals and edx = e - e to evaluate (3e* - 5) dx.Water flows from the bottom of a storage tank at a rate of (t) = 400 - 8t liters per minute, where 0's t 's 50. Find the amount of water (in liters) that flows from the tank during the first 45 minutes. liters Enter an exact number. Need Help? Read It Submit Answer 4. [-/2 Points] DETAILS SCALCET9 5.4.072.MI. The acceleration function (in m/s ) and the initial velocity v(0) (in m/s) are given for a particle moving along a line. a(t) = 2t + 4, v(0) = -5, Ost=3 (a) Find the velocity (in m/s) at time t. v(t) = m/s (b) Find the distance traveled (in m) during the given time interval. m Need Help? Read It Master It