**Exercise
One: Solution (Algebraic)**

**Problem:**

Find the value of x for which H is a minimum. Determine that minimum
value.

**Solution:**

Recognize that H is a quadratic function of x and that the graph of
the relationship

between x and H is a parabola. The minimum will therefore occur
at the vertex.

The x coordinate of the vertex is given by

Then

**Answer:**

H has a minimum value of 39/4 when x is 3/2.

Solution (calculus)

Introduction
to Exercises
Exercise
Two