Question
Sketch the solid described by the given inequalities.$$0 \leqslant \theta \leqslant \pi / 2, \quad r \leqslant z \leqslant 2$$
Step 1
The inequality $0 \leqslant \theta \leqslant \pi / 2$ tells us that the angle $\theta$ is between 0 and $\pi/2$. This means that the region we are looking at is in the first quadrant of the $xy$-plane. Show more…
Show all steps
Your feedback will help us improve your experience
Gregory Higby and 56 other Calculus 3 educators are ready to help you.
Ask a new question
Labs
Want to see this concept in action?
Explore this concept interactively to see how it behaves as you change inputs.
Key Concepts
Recommended Videos
Sketch the solid described by the given inequalities. $$0 \leqslant r \leqslant 2, \quad-\pi / 2 \leqslant \theta \leqslant \pi / 2, \quad 0 \leqslant z \leqslant 1$$
MULTIPLE INTEGRALS
Triple Integrals in Cylindrical Coordinates
Sketch the solid described by the given inequalities. $ 0 \le \theta \le \frac{\pi}{2} $, $ r \le z \le 2 $
Multiple Integrals
Sketch the solid described by the given inequalities. $$\rho \leqslant 2, \quad 0 \leqslant \phi \leqslant \pi / 2, \quad 0 \leqslant \theta \leqslant \pi / 2$$
Vectors and the Geometry of Space
Cylindrical and Spherical Coordinates
Transcript
Watch the video solution with this free unlock.
EMAIL
PASSWORD