Convert the equation y = −√√3x to polar form. Then solve the resulting equation for 0.

Calculate -1-3i. Give your answer in a + bi form. Give the solution with smallest positive angle.

The figure below shows a lighthouse that is L = 120 feet from a long straight wall on the beach. The light in the lighthouse rotates through one complete rotation once every 4 seconds. Find an equation that gives the distance d in terms of time t. d = ft Then find d when t is second and seconds. (If an answer is undefined, enter UNDEFINED.) ft ft What happens when you try t= 1 second in the equation? (If an answer is undefined, enter UNDEFINED.) ft How do you interpret this?

Write an equation of the form y = a sinbx or y =a cosbx to describe the graph below. MAL 4+ OsinO 3 15. 9 D=0 4 4 2 4 4 2 ?

3) Jim rides a second Merry-Go-Round shown below. The distance, d, that Jim is from the wall can be described by the equation d = 38 + 22sin(8t), where t is the number of seconds since Jack was at the Start point. Answer the questions below (just enter the numbers), show ALL work, AND upload your work paper (or show your work) in the next question. The Merry-Go-Round makes one rotation every 45 seconds. Start 22 m 38 m Wall meters a) What is Jim's distance from the wall when t = 41 seconds? Round your answer to the nearest hundredth of a meter. b) The owner of the Merry-Go-Round decides to make the ride more exciting by tripling the rotational speed. Rewrite the equation for d given above to reflect this change. sin(