I need help with this... im lost and i really would appreciate any help. the below spiral curves are generated by the parametric equations. x1=tcos(t), y1=tsin(t), pi =

Question

I need help with this... im lost and i really would appreciate any help. the below spiral curves are generated by the parametric equations. x1=tcos(t), y1=tsin(t), pi =<t =<4pi and x2=(t+2)cos(t),y2=(t+1)sin(t), pi=<t=<4pi a) determine the arc lengths of the two curves, do not evaluate the integral for the second curve (x2,y2). b) determine the area between the curves.

anonymous · Answer

Hi, 
for a): 
for the first curve, use the integral formula from the course. If you take a close look, you see that the curve is a circle of radius t which is traversed 1,5 times (since pi<=t<=4pi) 
So you already have an idea of what the result should be