a.)A closed rectangular container with a square base is to have a volume of 2250 in^3. The material for the top and bottom of the container will cost $2 per in^2, and the material forthe sides will cost $3 per in^2. Find the dimensions of the container of least cost.

b.)Useboththefirst and second derivative teststo show that

has a relative minimum atand a relative maximum at.

fx=x^3-3x+3

has a relative minimum at x=1 and a relative maximum at x-1

c.)Useimplicit differentiationto find theslopeof the tangent line to the curve

2(x^2+y^2)=25(x^2-y^2) at the point(3,1)