Question

Find an equation of the sphere with center (4, -11, 8) and radius 10. (x - 4)^2 + (y + 11)^2 + (z - 8)^2 = 100 Use an equation to describe its intersection with each of the coordinate planes. (If the sphere does not intersect with the plane, enter DNE.) intersection with xy-plane (x - 4)^2 + (y + 11)^2 = 36 intersection with xz-plane (x - 4)^2 + (z - 8)^2 = - 21 intersection with yz-plane (y + 11)^2 + (z - 8)^2 = 84

          Find an equation of the sphere with center (4, -11, 8) and radius 10.
(x - 4)^2 + (y + 11)^2 + (z - 8)^2 = 100
Use an equation to describe its intersection with each of the coordinate planes. (If the sphere does not intersect with the plane, enter DNE.)
intersection with xy-plane (x - 4)^2 + (y + 11)^2 = 36
intersection with xz-plane (x - 4)^2 + (z - 8)^2 = - 21
intersection with yz-plane (y + 11)^2 + (z - 8)^2 = 84

Find an equation of the sphere with center (4, -11, 8) and radius 10.
(x - 4)^2 + (y + 11)^2 + (z - 8)^2 = 100
Use an equation to describe its intersection with each of the coordinate planes. (If the sphere does not intersect with the plane, enter DNE.)
intersection with xy-plane (x - 4)^2 + (y + 11)^2 = 36
intersection with xz-plane (x - 4)^2 + (z - 8)^2 = - 21
intersection with yz-plane (y + 11)^2 + (z - 8)^2 = 84

Added by Esperanza F.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Adi S

02/15/2023

Step 1

The equation of the sphere is: (x-4)2+(+11)2 36 Show more…

Show all steps

Thanks for your feedback!

Find an equation of the sphere with center (4, -11, 8) and radius 10: (x - 4)^2 + (y + 11)^2 + (z - 8)^2 = 100 Use an equation to describe its intersection with each of the coordinate planes (If the sphere does not intersect with the plane, enter DNE): Intersection with xy-plane: (x - 4)^2 + (y + 11)^2 = 36 Intersection with xz-plane: (x - 4)^2 + (z - 8)^2 = - 21 Intersection with yz-plane: (y + 11)^2 + (z - 8)^2 = 84