Question

Find an equation of the sphere with center (1, −12, 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

Name: find an equation of the sphere with center 1 12 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 41487
Uploaded: 2023-02-24T08:44:05-08:00
Duration: 1 min 35 s
Channel: Sri K
Description: find an equation of the sphere with center 1 12 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 41487

          Find an equation of the sphere with center
(1, −12, 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

Added by Nicole S.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Sri K

02/24/2023

Step 1

The general equation of a sphere with center \((h, k, l)\) and radius \(r\) is: \[ (x - h)^2 + (y - k)^2 + (z - l)^2 = r^2 \] Given center \((1, -12, 4)\) and radius \(5\), the equation is: \[ (x - 1)^2 + (y + 12)^2 + (z - 4)^2 = 25 \] --- Show more…

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Find an equation of the sphere with center (1, −12, 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