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| PAGE: 223 | SET: Exercises | PROBLEM: 1 |
(a) Complete the table.
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(b)
First number  |
Second Number | Product  |
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Observe the above table :
The maximum volume occurs at 
and 
.
(c) Find the product function.
First number is and the second number 
.
The product function is 
.
(d) Graph the function and locate the maximum point.
Graph of the function :
(e) The function is .
Apply the derivative on each side with respect to .
Find the critical numbers by equating derivative to zero.
The critical number is 
.
Substitute in .
.
is maximum when .
Find the two numbers:
First number is 
.
Second number .
The two numbers are 
and .
(a) and (b)
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(c) .
(d) Graph of the function :
(e) The two numbers are and .
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