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| PAGE: 107 | SET: Exercises | PROBLEM: 8 |
(a) Express the area 
of the rectangle as a function of 
.
Since the point 
is located on the circle 
, the length of the rectangle is are 
and width of the rectangle is 
.
Formula for the area of the rectangle is 
, where 
is the length and 
is the width of the rectangle.
Substitute 
in 
.
.
(b) Express the perimeter 
of the rectangle as a function of .
The length of the rectangle is are and width of the rectangle is .
Formula for the perimeter of the rectangle is 
.
.
(c) Graph the function 
.
Graph of the function :
Locate the maximum point on the graph.
Observe the graph, is largest when 
.
(d) Graph the function .
Graph of the function :
Locate the maximum point on the graph.
Observe the graph, 
is largest when 
.
(a) The function is
(b) The function is 
.
(c) Graph of the function :
is largest when 
.
(d) Graph of the function :
is largest when 
.
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