I need help with this problem please and please make it legible.

(a) Express dw / dt as a function of t, both by using the chain rule and by expressing w in terms of t and differentiating directly with respect to t. (b) Evaluate dw / dt at the given value of t. w= _+ -, x= sint, y= cos 2 t, z= 1. At = 8 Z . . . . . (a) Which of the equations represents an initial step of expressing dw / dt using the chain rule? O A. dw sin cost dt 5t 5t OB. dw = dt (2 sin tcos t ) + ( - 2 cos tsin t) + X 5t O C. dw sin 2 + cos 2 + dt 1 / 5t 1 / 5t O D. dw = -z (2 sin tcos t) - NI - dt (-2 cos tsin t) - X N 2 5 + 2Which of the equations represents w in terms of t? O A. sin - t COs 2 WE 1 / 5t 1 / 5t O B. sin - + COS 2 WE 5t 5t O c. W= Z (2 sin tcos t) + z ( -2 cos tsin t) + X N Z 2 Z 2 OD. =(-2) (2sin tcos 1) - (2) (-2 cos tsin t) - X 2 5+2Express dw / dt as a function of t. dw (Simplify your answer.) dt (b) Evaluate dw / dt at t = 8. dw dt (Simplify your answer.) t = 8