A lamina in the first quadrant is bounded by y = sin^−1(x), y =π/2, and the coordinate axes. If the density at any point (x, y) in the lamina is f(x,y) = x, find the y-coordinate of the center of mass of the lamina.

If X and y are continuous functions of t on an interval /, then the equations X = x(t) and y = y(t) are called and t is called the %3D Name the curves represented by a) x =t - 3 and y = t b) x = 4sin(t) and y = 3cos(t)|

If z = y + f(x^2-y^2), where f is differentiable, show that y(∂z/∂x) + x (∂z/∂y) = x.