Which of the following characteristics are true of the limacon r = 3- 2 sins? O A. cardioicl; vertical axis of symmetry; vertical intercepts (0,0) and (0,6) O B. convex; horizontal axis of symmetry; horizontal intercepts (3,0) and (3,0) 0 C. dimple-:l; vertical axis of symmetry; vertical intercepts (0,-5) and (0,1) 0 D. inner loop; horizontal axis of symmetry; vertical intercepts (0,0), (0,5), and (0,1) How many petals are on the rose curve represented by the equation r = 3 sin 20? O A. 6 O B. 4 O C. 3 O D. 2\fWhich of the following points could be the initial point of vector v if it has a magnitude of 5 and the terminal point (1,6)? O A. (0.Lo.6) O B. (5,11) o c. (3,5) o D. (5,3) \fTwo forces act on an object. The first force has a magnitude of 152 newtons and acts at an angle of 60\" as measured from the horizontal. The second force has a magnitude of 228 newtons and acts at an angle of 150\" as measured from the horizontal. Determine the vector v that represents the resultant force. 0 A. v=(75+114)i+(75114)j O B. v=[76114J)i+(76\\l+114)i 0 C. v=(754+114)i+[75-114J)j o o. v=(76J114)i+(76+114J)j Given vectors n= (3,?) and v= (5.3), determine if the vectors are orthogonal. If they are not orthogonal, nd the angle between the two vectors. 0 A. The vectors are orthogonal. O B. The vectors are not orthogonal. The angle between the two vectors is 552. 0 C. The vectors are not orthogonal. The angle between the two vectors is 836. 0 D. The vectors are not orthogonal. The angle between the two vectors is 88.7\". Which point is on the plane curve defined by the following parametric equations? x =-2t y = & +61-21 O A. (-1,-19) O B. (-2, -1) O C. (5,14) O D. (4,23)What conic section can be drawn by using the parametric equations x = 1 + 3 cost and y =-5sint? O A. hyperbola O B. parabola O C. circle O D. ellipseWhich set of parametric equations represents the function y = 2x- -9x-1? O A. x= t+1 y = 212 -5t-6 O B. x=3-t y = 22 - 3t -10 O C. x= 2-t y = 2 +t-9 O D. x = t+4 y = 212+7t-2Which is a polar form of the following parametric equations? x = 2cos=8-2cose y = 2sin Ocos 8-2 sin & O A. r = 2cose- 2 O B. r = 4(cos 9-1) O C. r= 4 cos 0 sin 0 O D. r= 2A soccer player kicks a ball on the ground at an angle of 41 and an initial velocity of 130 ft./sec. If the ball is not touched while in the air, when will it hit the ground? Remember that the acceleration due to gravity is 32 ft./s2 . O A. 3.07 seconds O B. 2.67 seconds O C. 6.13 seconds O D. 5.33 seconds\fWhat is the equation of the line tangent to the function jg) = 333 2x+1 at the point (1.6) '3' O A. y=8x+14 O B. y=8x2 0 C. y=4x+10 O D. y=6x+12