Evaluate the line integral, where c is the given curve. Z2 dx x2 dy y2 dz, c c is the line segment from (1, 0, 0) to (4, 1, 5).

Apinhole camera is made out of a light-tight box with a piece of film attached to one side and pinhole on the opposite side. the optimum diameter d(in millimeters) of the pinhole can be modeled by d=1.9[ (5.5 x 10^-4) l) ] ^1/2, where l is the length of the camera box (in millimeters). what is the optimum diameter for a pinhole camera if the camera box has a length of 10 centimeters