Use the Method of Cylindrical Shells to Find the Volume $$y = x ^ { 2 } , y = 0 , x = 1 , x = 6 ; \text { about } x = 1$$

question 99

Short Answer

Use the method of cylindrical shells to find the volume of solid obtained by rotating the region bounded by the given curves about the specified axis.
$$y = x ^ { 2 } , y = 0 , x = 1 , x = 6 ; \text { about } x = 1$$

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Definitions:

Put Options

Financial contracts granting the holder the right to sell an asset at a predetermined price before a specified date.

Call Options

Financial contracts giving the buyer the right, but not the obligation, to buy an asset at a specified price within a specific time frame.

Underlying Asset

The financial instrument upon which derivative contracts, like options and futures, are based.

Covered Call

A combination of selling a call option together with buying the underlying asset.