HELP! Pre-Calc HW Please solve & Explain ALL parts (a, b, c, d)!

On Monday, we learned this formula for parametrizationlar motion: (x, y) = (r cos(wt + 00) + To, rsin(wt + 00) + yo), where r is the radius and (To, yo) is the center of the circle, w is the angular velocity, and 0 is the initial angle. This is an ugly formula, so let's try to ignore how complex it is and focus on what's actually happening. Recall that a point on a circle is determined by an angle. If we know the angle, we know the point. So the main challenge of these problems is parametrizations time changes. When parametrizationr motion, the picture is clear: position = distance travelled + starting position and since d = v . t, we get the formula position = velocity . time + starting position. Parametrizationks the same way! angle = angular velocity . time + starting angle In mathematical terms, angle = wt + 00- Once we know an angle on a circle, we can find the point using the fact that (x, y) = (r cos(angle) + To, " sin(angle) + yo). Knowing that our angle is wt + 0% gives us our formula: (x, y) = (r cos(wt + 00) + To, " sin(wt + 06) + yo). The difficulty of finding w or 60 or r depends on the particular problem, but we always find these using our three main formulas for circular motion: W = s = re U = TW. Let's do an example! 1. Ricci and I are walking in a very small circle, very slowly, for some reason. Suppose we walk around the circle twice a minute, and we're moving at 200 feet per minute. If it takes us 15 seconds to reach the northernmost point of the circle, find an equation for our motion. Let's approach this step-by-step. (a) First, use the fact that we're moving at 2 RPM to find the angular velocity