Change from rectangular to cylindrical coordinates. (Letr> 0 and Os Os 21.) (a) (-3,3,3) (V162 ,...
Change from rectangular to cylindrical coordinates. (Letr z 0 and 0 s Os 2x.) (a) ) (b) (-5,5/3, 1).
F. Change the coordinates shown as follows: 1. Rectangular (1,3,-1) to cylindrical equation. 2. Rectangular (4,1,-3) to spherical equation. 3. cylindrical (417) to rectangular equation. G. Change the following rectangular equations as follows 1. -3x2 + 2y2 -z 0 to cylindrical equation. 2. x2 + 3y2-22-1 to spherical equation
1. Use cylindrical coordinates to SET UP the integral for the volume of the portion of the unit ball, 22 +232 + x2 < 1, above the plane z = 12 2. (a) Write in spherical coordinates the equations of the following surfaces: (i) x2 + y2 + x2 = 4 (ii) z = 3x2 + 3y2 (b) SET UP the integral in spherical coordinates for the volume of the solid inside the surface 22 + y2 + x2 =...
Convert the rectangular coordinate equations to equations in cylindrical coordinates 33.(a) z=x^2+y^2-3x (b) x=3 34. (a) Z=3x^2+3y^2 (b) y=2 35. (a) z=x^2+5y^2 (b) x+y+z=5 36. (a) y=x^2 (b) x+5y=z