43. A man is in a hot air balloon 1, 000 meters above a lake taking pictures of the scenic view. A gust of wind shakes the hot air balloon and the man accidentally drops his camera over the edge. Assume the initial downward velocity of the camera is 0 meters per second, and the downward acceleration due to gravity is 9.8 - meters second? . and assume there is no air resistance. Use a degree 2 Taylor Polynomial to find the speed of the camera when it hits the surface of the lake. Round your answer to the nearest integer. A. 276 meters per second B. 140 meters per second C. 157 meters per second D. 280 meters per second E. 143 meters per second 44. A cannonball is shot into the air on an alien planet. The path of the cannonball is modeled by the set of parametric equations x = 59%, y = 65/ - 2.1r where r is time in seconds, and x and y are in meters. Assume the ground is at y = 0. What is the maximum height attained by the cannonball? A. 498.69 meters B. 913.095 meters C. 414.40 meters D. 828.81 meters E. 502.98 metersDO I 45. Use technology to find the area of the shaded region between r = sin (20) + 0 and r = 2 and the x-axis . The graphs intersect at 0 = 1.801611 . r = sin*(20) +0 r = 2 A. 8.22416 B. 3.89197 C. 3.25799 D. 4.59428 E. 2.55199