Let C be the parameterized curve for a given positive number r and 0≤t≤π,
C: \left\{\begin{array}{ll} x \equal{} 2r(t \minus{} \sin t\cos t) & \\
y \equal{} 2r\sin ^ 2 t & \end{array} \right.
When the point P moves on the curve C,
(1) Find the magnitude of acceleralation of the point P at time t.
(2) Find the length of the locus by which the point P sweeps for 0≤t≤π.
(3) Find the volume of the solid by rotation of the region bounded by the curve C and the x-axis about the x-axis.
Edited. calculusintegrationtrigonometrygeometrygeometric transformationrotationcalculus computations