Question

Find an equation of the sphere with center (3, -6, 4) and radius 5. (x - 3)^2 + (y + 6)^2 + (z - 4)^2 = 25 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 intersection with xz-plane intersection with yz-plane Need Help?

          Find an equation of the sphere with center (3, -6, 4) and radius 5.
(x - 3)^2 + (y + 6)^2 + (z - 4)^2 = 25
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
intersection with xz-plane
intersection with yz-plane
Need Help?

Find an equation of the sphere with center (3, -6, 4) and radius 5.
(x - 3)^2 + (y + 6)^2 + (z - 4)^2 = 25
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
intersection with xz-plane
intersection with yz-plane
Need Help?

Added by Eric R.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Madhur L

05/25/2023

Step 1

The general equation of a sphere is given by: $(x-a)^2 + (y-b)^2 + (z-c)^2 = r^2$ where (a, b, c) is the center of the sphere and r is the radius. In this case, the center is X = (3, -6, 4) and the radius is 5. So the equation of the sphere is: $\boxed{(x-3)^2 Show more…

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Find an equation of the sphere with center (3, -6, 4) and radius 5. 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: Intersection with xz-plane: Intersection with yz-plane: Need Help?