Find the length of the curve, l. y^2 = 4(x+5)^3 text(, ) 0< =x< =1 text(, ) y> 0 g

Parameterize the curve by



Then



The length of the curve is then

Period is the time it takes for one “cycle” to complete. in the parent sine function, period is 2*pi since sin(0) = 0, sin(pi/2) = 1, sin(pi) = 0, sin(3pi/2) = -1, and sin(2pi) = 0. at that point, the sequence repeats itself. i’m not sure if your graph is similar to the sine function since you didn’t provide a picture, but you can find the period by looking at a graph.