A triangular-shaped cantilever beam of uniform-thickness is shown in the figure. The young’s modulus of the material of the beam is E. A concentrated load P is applied at the free end of the beam.
The area moment of inertia of inertia about the neutral axis of a cross-section at a distance x measured from the free end is
(a) 
(b) 
(c) 
(d) 
The maximum deflection of the beam is
(a) 
(b) 
(c) 
(d) 