Answer Happy

Exercise 6 Find an equation in cylindrical coordinates for the surface represented by ach rectangular equation and sketch its graphs: (a) x2 + y2 = 4z (b) y2 = x. Exercise 7 Convert the rectangular equation to an equation in cylindrical coordinates and sketch each surface in Cartesian coordinates: (a) x2 + y2 = 4y, (b) x2 - y2 = 9. Exercise 8 Convert the rectangular equation to an equation in spherical coordinates: (a) z = x2 + y2, (b) x2 + y2 = 16. Exercise 9 Find an equation in Cartesian coordinates for the equation given in cylindrical coordinates: (a) r = 2 cos 8. (b) r2 + z2 = 5. Sketch each surface in Cartesian coordinates.