14. (09.05 MC) Determine the slope of a line tangent to the curve r = 3cose at 9 = 2 (1 point) 3 O V3 O V3 O -V3 15. (06.08 MC) Evaluate [ cos(3x -4) dx. (1 point) 1 cos(3x -4) +C -1 sin(3x -4) +C 1 sin(3x -4) +C -'cos(3x -4) +C16. (08.04 MC) Which represents the area of the region bounded by y = 2x and y = x3 - x2 - 4x? (1 point) 01,(x3 - x2 - 8x ) Ox + 10( -x3 +x2 + 6 x )dx 013(-x 3 - x 2 - 2x )dx 0( x3 - x 2 - 8 x ) dx 0 191-x3+ x 2 + 6x ) dx + 10 (x3 - x2 - 6x) dx 17. (08.08 MC) Let R be the region in the first quadrant bounded by the graph of y = Inx, x = e, and the x-axis. R is the base of a solid whose cross sections perpendicular to the x-axis are squares. What is the volume of the solid? (1 point) 1.341 1.718 0.718 O 0.918 18. (07.06 MC) A dolphin calf is 43.7 inches long at birth and 51.9 inches long four months later. If the calf's length during the first eight months is increasing at a rate proportional to its length, then what will be the calf's length at six months? (1 point) 60.1804 inches 71.4729 inches 65.9778 inches O 56.5601 inches19. (09.02 MC) Evaluate r given the vector r(t) = (2sin(3t), - tan(!)). (1 point) O V21 3 O 2V/3 3 O (0. _ 2V3) 20. (10.03 MC) 12 -60+9 Which of the following series can be used to determine convergence of ) -, using the limit comparison test? (1 point) 1=0 vn8 +4n3 - 2n+7 O M : 1 non4 O I 1 non O 1 non O M: 1 non21. (09.06 MC) Set up, but do not evaluate, the area of one petal in the curve r = sin(30). (1 point) NI- sin ?(30) de O 125 [ sin?(30) de O WI - [ sin?(30) de sin(30) de 22. (08.06 MC) A region R in the first quadrant is bounded by y =vx, the horizontal line y = 2, and the y-axis. What is the volume of the solid generated when R is revolved around the horizontal line y = 2? (1 point) 19.2 3.2 10.0531 O 60.318623. (08.07 MC) Let R be the region in the first quadrant bounded by the graphs of y=/x, x = 8, and the x-axis. What is the volume of the solid generated when R is rotated about the y-axis? (1 point) 120n 56TT O 320m 7 7687 724. {uses me} The graph of f is shown: What is the area under the me of x} for 2 s x s is? {1 point} 0 2 square units 0 [1 square units 0 4 square units 0 2 square units 25. (08.03 MC) Which definite integral represents the area of the region that is bounded by y = 3x- and y =3Vx7 (1 point) [ (3x 2 - 3 V x )dx O V 3 )dy (3Vx- 3x 2 )dx O 3 y )dy 9