Calculus, Functions

please provide a detailed answer

2. Consider the function ay. z) = 1...!11 3:" + yz + Esin[3y + 22}. end the point P = (1.2. 3]I. {a} 1 mark. Calculate f{1,2_.3]|. {h} 5 marks. Calculate f,[1,2.3}. {c} 5 marks. Calculate fy{1.2. 3]I. {d} 5 marks. Calculate fr[1.2,3}. {e} 1 mark. Find unit vectors in the directions in which f increases and decreases most rapidly at the point P. {f} 1 mark. Find the rate of change of f at the point P in these directions. {g} 2 marks. Consider the vector "in" = {21 _113} - Sketch the projections of this vector onto the Iyplane. and the yzplane. Show the details of your work