Finally, setting = cdefines a cone at the origin as in the right figure below. In your worksheet, plot the coordinate surfaces = 4, = 1, and = 1 in spherical coordinates. The equation in Cartesian coordinates of the sphere of radius cis x2 + y2 + z2 = c2.
a) Find a Cartesian equation relating and corresponding to the parametric equations: x=2sin(3t), y=9cos(3t). Write your answer in the form P(x,y)=0, where P(x,y) is a polynomial in x and y, such that the coefficient of y^2 is 4. b)Find the equation of the