Find all points at which the direction of fastest change of the function f(x, y) = x2 + y2 − 6x − 8y is i + j.

Given that ot =5, xt=12, and ox= 13 is xy tangent to circle o at t? explain.

If private savings 'v' = 0.75s and total savings 's' equals $4.20 billion, solve for public and private savings.

The volume of the sun is approximately 1 × 10^18 cu km, while the volume of jupiter is approximately 1 × 10^15 cu km. which of the following is true? a. the volume of jupiter is approximately one thousand times the volume of the sun. b. the volume of jupiter is approximately one hundred times the volume of the sun. c. the volume of the sun is approximately one thousand times the volume of jupiter. d. the volume of the sun is approximately one hundred times the volume of jupiter.