In: Math
a. Find the two first partials ?? and ?? of the following function. ?(?, ?) = ?3?5 + ?4x sin(?)
b. Find and classify all critical points of ?(?, ?) = ?3 − 3? + ?2 − 4? + 7.
c. Maximize and minimize ?(?, ?) = 3? + ? + 33 subject to ?2 + ?2 = 40.