Question

Write the given equation in the form of an equation of a sphere and find its center and radius.\\ $x^2 + y^2 + z^2 = 4y - 14z$\ equation $(x-2)^2 + (y+1)^2 + z^2 = 25$\ center $(x, y, z) = ($\ radius

          Write the given equation in the form of an equation of a sphere and find its center and radius.\\
$x^2 + y^2 + z^2 = 4y - 14z$\
equation $(x-2)^2 + (y+1)^2 + z^2 = 25$\
center $(x, y, z) = ($\
radius

Added by Virginia G.

Precalculus with Limits

Ron Larson 2nd Edition

Instant Answer

Solved by Expert Ishana K

01/30/2022

Step 1

The given equation is x² + y² + z² = 4y - 14z. To rewrite it in the form of a sphere equation, we need to complete the square for the y and z terms. x² + (y² - 4y) + (z² + 14z) = 0. To complete the square for the y term, we need to add (4/2)² = 4 to both Show more…

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Write the given equation in the form of an equation of a sphere and find its center and radius. x² + y² + z² = 4y - 14z equation (x-2)² + (y +1)² + z² = 25 center radius (x, y, z) = Write the glven equation in the form of an equation of a sphere and find its center and radius. x+y+=4y-14z equation x-2+y+1+=25 center xyz= radius