Chapter 4.7, Problem 103E

To determine

(a)

To graph:

The function $\beta =\arctan \frac{3x}{x^2+4};x>0$ as a function of x.

To determine

(b)

To find:

The approximate the horizontal distance from the picture to the lens of the camera with the angle $\beta$ to be with maximum.

To determine

(c)

To find:

The horizontal asymptote of the graph and to interpret its meaning.