Precalc!! Question> 11. What are the slopes of the asymptotes of the hyperbola: x^2/16 - y^2/49 = -1? Answers> A. 49/16 B. 16/49 C. 7/4 D. 4/7 Question> 12. what is the equation of the line that contains the vertices of the hyperbola (x + 2)^2/9 - (y + 4)^2/ 16 = -1? Answers> A. x= 2 B. y= 2 C. x= -2 D. y= 4 Question> 13. Convert the following parametric curve into Cartesian form: x = 4 sin t, y = 5 sin t Answers> A. None of these. B. x^2 + y^2 = 20 C. x^2/4 + y^2/5 = 1 D. 5x^2 + 4y^2 = 1 Question> 14. Which of the following is a parameterization of the line that passes through the point (1,-3) with a slope of -4? Answers> A. x = t + 3 and y = -4t + 1, for any t B. x = 3t and y = -4t - 2, for any t C. x= 2t and y = -8t - 7, for any t D. x= 2 tan and y = -8 tan t + 1, for -pi/2 15. A particle moves in the XY plane so that at any time -2 _< t _< 2, x = 3 sin t and y = t - 4 cos t + 1. What is the vertical component of the particles location when is horizontal component is 2? Answers> A. y= -1.05 B. y = -2.25 C. y= -1.25 D. y= 0.73 Question> 16. Which of the following graphs represents the polar equation defined by: r = 2 + 2 cos 0? Answers> (Picture will be in messages) Question> 17. Convert the following function given in Cartesian Coordinates into Polar form. y= sqrt36 - x^2 Answers> A. r= 6/cos 0 - sin 0 B. r= 36/cos^2 0 + sin^2 0 C. r= 6 D. r= 36/cos^2 0 - sin^2 0 Question> 18. Remember balls being spun in an outward spiral in a whirlpool defined by r = 50/0^2, where pi _< 0 _< 4pi as shown in the diagram below. (Picture will try to be put in messages) What is the horizontal component of the balls location after it has been through an angle of 7pi/4 radians? Answers> A. x= -0.98 B. x= 1.27 C. x= 0.98 D. x= 1.17