5.5A  Max/Min Problems

Max/Min Practice Problems

   For each problem below, answer each question (A - F). 

  Answers are provided at the end of this practice.  (see Resources below)

      A.     What is given?

      B.     What are you looking for?

      C.     What is the primary equation?

      D.    What is the secondary equation?

      E.     Draw a diagram (if warranted)

      F.     Find the solution to the problem's question. 

                  Not all problems require a solution.

1.   The sum of two positive numbers is 6. Determine the two numbers so that the sum of one of the numbers plus the square of the other number is as small as possible. 

2.   Express the distance from the point (4,6) to the point (x, y) on the parabola y - x2 + 4 as a function of x.

3.  The area of a rectangle is 200 feet.  Let x represent the width of the rectangle,  then write the function that expresses the perimeter of the rectangle in terms of x.

4.  What is the largest possible area for a right triangle in which the sum of the lengths of the two shorter sides is 10 cm?

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