Find an equation of the form $\rho = f(\theta, \phi)$ in spherical coordinates for the surface. $4z = x^2 + y^2$ (Express numbers in exact form. Use symbolic notation and fractions where needed.) equation: $\rho = 4 \cos(\theta) \cdot \csc(\phi)$ Incorrect Answer
Added by Remedios Y.
Close
Step 1
We need to convert this equation into spherical coordinates. The conversion formulas are: $x = \rho \sin(\phi) \cos(\theta)$ $y = \rho \sin(\phi) \sin(\theta)$ $z = \rho \cos(\phi)$ Show more…
Show all steps
Your feedback will help us improve your experience
Linh Vu and 95 other Calculus 1 / AB 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
In Exercises $65-70,$ find an equation of the form $\rho=f(\theta, \phi)$ in spherical coordinates for the following surfaces. $$x^{2}-y^{2}=4$$
VECTOR GEOMETRY
Cylindrical and Spherical Coordinates
Find an equation of the form $\rho=f(\theta, \phi)$ in spherical coordinates for the following surfaces. $$ x^{2}-y^{2}=4 $$
Vector Geometry
In Exercises $65-70,$ find an equation of the form $\rho=f(\theta, \phi)$ in spherical coordinates for the following surfaces.$$x=z^{2}$$
Recommended Textbooks
Calculus: Early Transcendentals
Thomas Calculus
Transcript
18,000,000+
Students on Numerade
Trusted by students at 8,000+ universities
Watch the video solution with this free unlock.
EMAIL
PASSWORD