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
f(x)= x5 − 5x
Find the x− and y−intercept, critical numbers, increasing and
decreasing intervals, local minimum and maximum, f''(x), intervals
of concavity up and down, and inflection points.