iv) The region bounded by the semi-circle x = centroid (x,y). a) Explain why y = 0. b) Find the centroid (x, 0). √√1 - y² and the y axis has

Does the sphere x2+y2+z2=100 have symmetry with respect to the a x-axis? b xy-plane?

Which lines or line segments or rays must be drawn or constructed in a triangle to locate its a orthocenter? b centroid?

Write parametric equations for a cycloid traced by a point P on a circle of radius a as the circle rolls along the x -axis given that P is at a maximum when x=0.