Answer:
Equation:
Intersection:
Step-by-step explanation:
We are asked to write an equation of the sphere with center center and radius 4.
We know that equation of a sphere with radius 'r' and center at is in form:
Since center of the given sphere is at point , so we will substitute , , and in above equation as:
Therefore, our required equation would be .
To find the intersection of our sphere with the yz-plane, we will substitute in our equation as:
Therefore, the intersection of the given sphere with the yz-plane would be .