**Exercise
Four: Solution (Calculus)**

**Problem:**

Find the non-negative value of x for which T is a maximum. What is the
corresponding maximum value?

**Solution:**

Take the derivative of T with respect to x.

Set the derivative equal to zero and solve for x.

Since
x must not be negative, disregard the solution x = –1.

Note that

for(T
is increasing to the left of 1)

and

for(T
is decreasing to the right of 1)

Thus
x = 1 corresponds to a maximum.

Find T.

**Answer:**

T has a maximum value of 0.07 when x is 1.

**
What happens to the function T when x takes the value -1?**

Exercise
Three
Exercise
Five