Find an equation of the largest sphere with center (4,2,2) that is contained completely in the first octant.

How do you answer this question? (step by step)

For f(x) = 3x+1 and g(x) = x2 - 6, find (g/f)(x)

Apolygon is shown on the graph: a polygon is shown on the coordinate plane. vertices are located at 3 comma 5, 1 comma 3, 1 comma 1, 2 comma 0, 4 comma 0, 5 comma 1, and 5 comma 3. what effect will a translation 3 units down and 2 units left have on the polygon? be sure to address how it could impact the angles, side lengths, and congruency between the original pre-image and the image. xd i need