1. Consider the polar equation / = 3sin(20) . (a) Complete the tables for the given values of 8. Round to the nearest tenth as needed. (b) Graph the equation and connect the points with your curve in the order you plot the points. Answer: (a) 4 6 r = 3sin(20) 7 x 1 1x 2x 6 A 6 r = 3sin(20) (b) -4 2 4 -2 1103. Awrora hit a baseball with an initial velocity of 70 feet per second at an angle of 30 with the horizontal. The ball hit her bat when the ball was 3 feet above the ground. {(a) Mo one interferes with the ball. How long does it take the ball to hit the ground? Round your answer to the nearest hundredth of a second. Show all your work and use the formula that gives vertical displacement. (b) How far did the ball travel horizontally? Use your answer from Part (a) in your calculations. Round your answer to the nearest tenth of a foot. Show all your work and use the formula that gives horizontal displacment. Answer: 2. a = (-9,6) and b = (3, 1). What is the component form of the resultant vector = a - 2b ? Show all your work using the vector matrix . ae + bf A * v = [a b] * = [ce + of] new matrix In = Answer:4. A cat darts around a room chasing a ball. The cat first travels along the vector {1,2) and then chases the ball along the vector (2, 6) . The cat darts after the ball 1.5 times along the vector {4, 3} . This is where the cat catches the ball and chews on it. What vector describes the cat's final position? Make a graph and use the sum of the vectors to find the final position of the cat