1. Find absolute max and min of f(x,y)=
x^2- xy + y^2 +1 on the closed triangular plate in the first
quadrant x=0, y=4, y=x
2. Given position of a particle by π (t)= Cos2ti + 3
sin2ti, Find the
particle velocity and acceleration at t=0
a.Find the absolute maximum and minimum for z=xy-x-y/2 over the
region bounded by y=x^2 and y=3x;
b. Find the critical points and critical values for
z=x^2+2y^2-2xy+3x+y+3.
Find the absolute maximum of g(x,y)=x^2+y^2-2y+1 on the disk
x^2+y^2 less than or equal to 4. Solve 2 ways, parametrization and
lagrange multipliers. Please solve using both methods!