Question
Explain what is wrong with the statement.The point with Cartesian coordinates $(x, y)$ has polar coordinates $r=\sqrt{x^{2}+y^{2}}, \theta=\tan ^{-1}(y / x)$
Step 1
Step 1: The statement gives the conversion from Cartesian coordinates $(x, y)$ to polar coordinates $(r, \theta)$ as $r=\sqrt{x^{2}+y^{2}}, \theta=\tan ^{-1}(y / x)$. Show more…
Show all steps
Your feedback will help us improve your experience
Carson Merrill and 61 other Calculus 2 / BC 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
Explain what is wrong with the statement. All points of the curve $r=\sin (2 \theta)$ for $\pi / 2<\theta<\pi$ are in quadrant II.
Using the Definite Integral
Area and Arc Length in Polar Coordinates
Explain what is wrong with the statement. The parameter curves for constant $\phi$ on the sphere $\vec{r}(\theta, \phi)=R \sin \phi \cos \theta \vec{i}+R \sin \phi \sin \theta \vec{j}+R \cos \phi \vec{k}$ are circles of radius $R$.
Parameters, Coordinates, and Integrals
Coordinates and Parameterized Surfaces
Explain what is wrong with the statement. Any polar curve that is symmetric about both the $x$ and $y$ axes must be a circle, centered at the origin.
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD