Please show your work.

(a) Find the equation of the line tangent to the curve x=t+cost, y=12sint at t=/6. (b) Find the length of the curve y^2=4(x+4)^3 from x=0 to x=1, where y>0.

12. This question is worth 20 points. You must complete both parts. Parts (a) and (b) are not related and should be answered as separate, distinct problems. (a) (10 points) Find the equation of the line tangent to the curve x = t + cost, y = 12 - sin t at t = . (b) (10 points) Find the length of the curve y" = 4(x + 4) from x = 0 to x = 1, where y > 0. B i U Font Family AADEE EGG