Sketch the solid described by the given inequalities. 2 ≤ p ≤ 4, 0 ≤ ∮ ≤ π/3, 0 ≤ θ ≤ π

Sketch the solid described by the given inequalities. 1<=rho<=2, 0<=phi<=pi/3, 0<=theta<=pi

Sketch the solid described by the given inequalities. $\rho \leqslant 1, \ 0 \leqslant \phi \leqslant \pi / 6, \ 0 \leqslant \theta \leqslant \pi$

Sketch the solid described by the given inequalities. 0 ≤ r ≤ 2, -π/2 ≤ θ ≤ π/2, 0 ≤ z ≤ 1

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

Sketch the solid described by the given inequalities. $2 \leqslant \rho \leqslant 4, \ 0 \leqslant \phi \leqslant \pi / 3, \ 0 \leqslant \theta \leqslant \pi$

Describe in words the surface whose equation is given.phi=pi/3

Write the equation in spherical coordinates.

$$x+2y+3z=1$$

Describe in words the surface whose equation is given. p = 3

Write the equation in spherical coordinates.

$$x^2-2x+y^2+z^2=0$$

Evaluate the integral.

$\iiint_D e^y d V$, where $D$ is the solid region bounded by the planes $y=1, z=0, y=x, y=-x$, and $z=y$

Find inequalities that describe a hollow ball with diameter 30 cm and thickness 0.5 cm. Explain how you have positioned the coordinate system that you have chosen.

Identify the surface whose equation is given. p = sin θ sin φ

Convert the integral from rectangular coordinates to both cylindrical and spherical coordinates, and evaluate the simplest iterated integral. ∫_(-2)^2 ∫_(-√4-x²)^(√4-x²) ∫_(x²+y²)^4 x dz dy dx