Plot the point whose spherical coordinates are given. Then find the rectangular coordinates of the point. (3, π/2, 3π/4)

Plot the point whose spherical coordinates are given. Then find the rectangular coordinates of the point.

$$(6,0,5 \pi / 6)$$

Plot the point whose cylindrical coordinates are given. Then find the rectangular coordinates of the point. (√2, 3π/4, 2)

Plot the point whose spherical coordinates are given. Then find the rectangular coordinates of the point.
(1,0,0)

Change from rectangular to spherical coordinates.

$$(-1,1, \sqrt{6})$$

Find the area of the region that is bounded by the given curve and lies in the specified sector. r=e^-theta/4, pi/2<=theta<=pi

Sketch the polar curve. r = sin 4θ

Find the Jacobian of the transformation. x=e^s+t, y=e^s-t

Evaluate triple integral of x^2 dv, where is the solid that lies within the cylinder x^2+y^2=1, above the plane z=0, and below the cone z^2=4x^2+4y^2.

Evaluate the integral by changing to cylindrical coordinates. integral -3 to 3 integral 0 to (9-x^2)^1/2 integral 0 to 9-x^2-y^2 (x^2+y^2)^1/2 dzdydx

Plot the point whose polar coordinates are given. Then find the Cartesian coordinates of the point. (2, -2π/3)

Plot the point whose cylindrical coordinates are given. Then find the rectangular coordinates of the point. (4, pi/3,-2)

Find the mass and center of mass of the lamina that occupies the region D and has the given density function rho. D is bounded by y=1-x^2 and y=0; rho(x,y)=ky

Find the area of the region that lies inside the first curve and outside the second curve. r=3costheta, r=1+costheta