Vector Calculus I: Spring-2022 HW7 : Due Day 17 5/23
Disk max/min
S0 4384S
Find the maximum and minimum values of \(x^2+y^2-2x-2y\) on the disk of radius \(\sqrt{8}\) centered at the origin, that is, on the region \(\{x^2+y^2\le8\}\).
\(\qquad\)
Explain your reasoning!
Nearest Points on Curve
S0 4384S
Find the points on the curve \(x^2+xy+y^2=3\) which are closest to and furthest from the origin.