Determine the square of the arc element for the curvilinear coordinate system
(u,v,w) whose coordinates are related to the Cartesian coordinates as follows:
x = 3u + v − w; y = u + 2v + 2w;z = 2u − v − w.
A curve has the equation y = x/16 * (5-x)^4. Calculates the values of x for which dy/dx =0 . Given that a small change,p,is made in the x-coordinate at the point (4,0.25), calculate,in terms of p, the approximate change in the y-coordinate .