1)!Approximate a positive solution of f(x) = x3 + x2 - 3x - 3 by applying Newton's Method. Use x1 =1 and find x2 only.

3) Find two numbers, x and y, such that their product is a minimum if y = 2x - 10.

4) Sketch the graph of . Plot critical points, points of inflection, asymptotes, etc. y= x^2/ x^2+1 .

5)5) s(t) = 2t3 - 12t2 +4t + 9 represents the position of a particle at time t. Find the position, s, and the velocity, v, when the acceleration, a, is 0

1) Find the dimensions of the rectangle of maximum area that be inscribed in a right triangle with sides of 6, 8, and 10 feet as shown.