Always get stuck by those math problems :(

Please help me with these two questions and it's better to provide specific steps.

Thank you!!

1. The force eld m, y) = (a: + 2y)i + (m2 + 1)j acts on an object traveling from (0, 0) t0 (0, 1). The object moves along the path 3 = C(y y2) with O S y S 1. Determine the value of c that minimizes the work done on the object by the force eld. Try on your own (do not turn in answer to this question): Suppose the work done on the object did not depend on c. What would this imply about the force eld? 2. A pump pushes cold water through a cylindrical1 pipe to cool an engine. The pipe has a radius of 2 cm and the speed of water through the pipe (in cm/s) is 45 + 40 + 3 m3 (b + 3c)?\"2 + Tr + 3, where r is the distance from the pipe's center (in cm) and 0 g b, c g 2 are parameters that can be adjusted by the pump to control the water speed. Determine the maximum possible ux of water through a circular crosssection of the pipe that the pump can produce. Orient your surface so the ux is positive