7. A particle is moving with the given data. Find the position of the particle. v(t) = 1.5vt + 1, s(3) = 10. 8. A box with a square base and an open top must have a volume of 32,000 cubic ft. Find the dimensions of the box that minimize the amount of material used. 9. Verify that the function satisfies the hypotheses of the Mean Value Theorem on the given interval. Then find all numbers c that satisfy the conclusion of the Mean value Theorem. f(x) = x3+ x+2, [0,2] 10. Find the dimensions of a rectangle with area 1000 sq. m whose perimeter is as small as possible