Question: 1. A rectangular page is to contain 36 sq in of printable area. The margins at the top and bottom of the page are each

1. A rectangular page is to contain 36 sq in of printable area. The margins at the top and bottom of the page are each 1 inch, one side margin is 1 inch, and the other side margin is 2 inches. What should the dimensions of the page be so that the least amount of paper is used?

2. A spherical balloon is to be deflated so that its radius decreases at a constant rate of 12 cm/min. At what rate must air be removed when the radius is 6cm?

3. Find k if the curve y = x 2 + k is tangent to the line y = 8 x

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