It's calculus2

4. Consider the parametric equations :1: = 2:2 + $32 = 8J5, 1 S t S 3. a) Find the exact length of the curve. b) Find the area of the surface obtained by rotating the curve about the x-axis. 5. Considerthe polarcurve?' = 612059 4Sin9,0 S 9 5 1r . a} Find the cartesian equation for the curve. b) Sketch the curve. c} Find the slope of the tangent line to the curve at :9 = . I=l 6. Find the area inside the larger loop and outside the smaller loop of the curve 1" = 1 - \"sin 9