BC ONLY
- Which equation includes the curve defined parametrically by x(t) = cos^2 (t) and y(t) = 2 sin (t)?
(A) x^2 + y^2 = 4
(B) x^2 + y^2 = 1
(C) 4 x^2 + y^2 = 4
(D) 4 x + y^2 = 4
(E) x + 4y^2 = 1
BC ONLY
- Find the smallest value of in the interval [0,2π] for which the rose r = 2 cos(5 ) passes
through the origin.
(A) 0
(B)
(C)
(D)
(E)
BC ONLY
- For what value of in the interval [0,π] do the polar curves r = 3 and r = 2 + 2 cos intersect?
(A)
(B)
(C)
(D)
(E)
BC ONLY
- On the interval [0,2π] there is one point on the curve r = − 2 cos whose x-coordinate is 2.
Find the y-coordinate there.
(A) −4.594
(B) −3.764
(C) 1.979