(6)Use power series operations to find the Taylor series atx= 0 for the functionf(x) =xex.

(7)Find the point on the ellipsex= 2cost,y= sint,0t2closest to the point (3/4,0). (Hint: Minimize the square of the distance as a function oft.)

(6) Use power series Operations to nd the Taylor series at :5 = 0 for the function f (ac) = 556'\". (7) Find the point on the ellipse x = 200s t, y = sint, 0 g t 3 2a closest to the point (3/ 4, 0). (Hint: Minimize the square of the distance as a function of t.)