$\"\"$

The right circular is designed to hold soft drink of $\"\"$ meter.

(a)

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(b)

Complete the table:

\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \

The maximum area is $\"\"$ at $\"\"$ .

(c)

Find the area $\"\"$ as a function of $\"\"$ .

The area $\"\"$ .

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(d)

The area is $\"\"$ .

Apply derivative on each side with respect to $\"\"$ .

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Find the critical numbers by equating $\"\"$ .

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Substitute $\"\"$ in $\"\"$ .

$\"\"$

$\"\"$ .

The maximum area is $\"\"$ at $\"\"$ .

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(e)

Graph the area: $\"\"$ .

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Observe the graph:

The maximum area is $\"\"$ at $\"\"$ .

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(a)

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(b)

\ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \ \

The maximum area is $\"\"$ at $\"\"$ .

(c) The area $\"\"$ .

(d) The maximum area is $\"\"$ at $\"\"$ .

(e) Graph the $\"\"$ :

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