The function r() = 7i + 13 cos(r) j + 13 sin(7) k traces a circle. Determine the radius, center, and plane containing the circle. (Give your answer as equation of the plane in the form ax + by + z = d.) (Give your answer as point coordinates in the form (s, *, %).) (Give your answer as a whole or exact number.) Let r() = (sin(z), cos(r), 6 sin(t) + 3 cos(27)). Find the projection of r(#) onto the xz-plane for 1 = x 2, y* + z = 16 using trigonometric functions. (Express numbers in exact form. Use symbolic notation and fractions where needed. Give the parametrization of the y variable in the form a cos ().) v T -} Parametrize the intersection of the surfaces x> + y* = z2, 7y = z* using t = z as parameter. (Use symbolic notation and fractions where needed