Sketch the solid described by the given inequalities. 0<=r<=2, -pi/2<=theta<=pi/2, 0<=z<=1

Sketch the solid described by the given inequalities. p ≤ 1, 3π4 ≤ ∮ ≤ π

Sketch the solid described by the given inequalities. p ≤ 2, p ≤ csc $\phi$

Sketch the solid described by the given inequalities. $r^{2} \leqslant z \leqslant 8-r^{2}$

Express the integral ∫∫∫E f(x, y, z) dV as an iterated integral in six different ways, where E is the solid bounded by the given surfaces. x = 2, y = 2, z = 0, x + y - 2z = 2

Sketch the solid described by the given inequalities.

$$r^2 \leqslant z \leqslant 2-r^2$$

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

Sketch the solid described by the inequalities $0 \leqslant \theta \leqslant \pi/2, r \leqslant z \leqslant 2$.

Compute and interpret the coefficient of multiple determination for the variables of Exercise 12.1 on page 450.

Use cylindrical coordinates. Evaluate , triple integral (x^2+y^2)^1/2 dv, where E is the region that lies inside the cylinder and between the planes z=-5 and z=4 .

Write the equations in cylindrical coordinates. x^2-x+y^2+z^2=1

Describe Euler's method.

Find the GCD of each group of numbers. 30, 40, 210

Write the equations in cylindrical coordinates.

$$3x+2y+z=6$$