Give a geometric description of the set of points in space whose coordinates satisfy the given pairs of equations. $x^2 + y^2 + (z+0)^2 = 169$, $z = 5$ Choose the correct description. A. The circle with center (0,0,5) and radius 144, parallel to the xy-plane B. The line through (12,0,5) and (0,12,5) C. The circle with center (0,0,5) and radius 12, parallel to the xy-plane D. The line through (12,12,5) parallel to the z-axis
Added by Allison F.
Close
Step 1
Since z = 5, this parabola is parallel to the xy-plane and located at a height of 5 units above it. Now, let's find the center and radius of this parabola. To do this, we can rewrite the equation in the standard form of a circle: x + y^2 = 165 x = -y^2 + Show more…
Show all steps
Your feedback will help us improve your experience
Sri K and 76 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
Give a geometric description of the set of points in space whose coordinates satisfy the given pairs of equations. $$x^{2}+y^{2}+(z+3)^{2}=25, \quad z=0$$
Vectors and the Geometry of Space
Three-Dimensional Coordinate Systems
Give a geometric description of the set points in space whose coordinates satisfy the given pair of equations. X2+y2+z2=9, z=0
Supreeta N.
Give a geometric description of the set of points in space whose coordinates satisfy the given pairs of equations. $$x^{2}+y^{2}+z^{2}=25, \quad
Recommended Textbooks
Calculus: Early Transcendentals
Thomas Calculus
Transcript
Watch the video solution with this free unlock.
EMAIL
PASSWORD