In: Advanced Math
Find the best quadratic approximation to f(x,y) = e4ycos(-3x) about the origin (0,0) and estimate the value when this approximation is used to calculate f(0.1,0.1).Do not do the error approximation. Also, find the extreme values of the function f(x,y,z) = 8y2-4xz +16z - 35 on the surface 2x2+4y2+4z2 = 64