2. Let T(x;y) = sin(2x – y), P(-:) and Q(0; 0) (a) Determine the directional derivative of T at P in the direction from P to Q. (b) Determine a unit vector in the direction in which T increases most...

Extracted text: 2. Let T(x;y) = sin(2x – y), P(-:) and Q(0; 0) (a) Determine the directional derivative of T at P in the direction from P to Q. (b) Determine a unit vector in the direction in which T increases most rapidly at P. (c) Find the unit vector in the direction in which T decreases most rapidly at P, and determine the rate of change of T in this direction.