1.

Find a Cartesian equation relating a: and y corresponding to the parametric equations :12 = 5 sin(5t) y = 9 cos(5t) Write your answer in the form P[a:, y] = [l where P{a:, y) is a polynomial in a: and y such that the coefficient of "9'2 is 25. Answer: C] = I] Find the equation of the tangent line to the curve at the point corresponding to t : fl. Answer: y = C] Find a Cartesian equation relating m and y corresponding to the parametric equations 3 = 551:1(5t) y = 9cos(5t] Write your answer in the form P{a:,y) = {l where P[a: y) is a polynomial In m and y such that the coefficient of 3'2 is 25. Answer: C]: 0 Find the equation of the tangent line to the curve at the point corresponding to t = 'Ir/15. Answer: y = C] Find a Cartesian equation relating a? and y corresponding to the parametric equations a = 4sin(2t) y = 3 cos(2t] Write your answer in the form P{a:,y) = {l where P[a:, y) is a polynomial In a: and y such that the coefficient of 3'2 is 16. Answer: C]: I} Find the equation of the tangent line to the curve at the point corresponding to t = 'Ir/. Answer: y = C] The following polar equation describes a circle in rectangular coordinates: r = 2005 6 Locate its center on the icyplane, and find the circle's radius. (13mm) = 00 R=o The following polar equation describes a circle in rectangular coordinates: r = 12 sine} Locate its center on the icyplane, and find the circle's radius. (mm) = {DD R=o