Sketch the curve described by the following parametric equations on the interval −π ≤ t ≤ π: x = 5 sin t y = t 2 label the initial point and the terminal point and include an arrow indicating the direction the curve is sketched.
b. without eliminating the parameter, find the area of the region enclosed by the curve.
c. without eliminating the parameter, find the volume of the solid generated by rotating the curve about the y-axis.