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