? of 72 = 45 (answer in fraction)
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Again, In this question too you need to substitute the given variable values into the original expressions. Here, "x" is given as a value of "12" and the variable of "y" is given as as value of "2". A single variable of "x" in the numerator is given in the expression. On the denominator the variable of "y" with a value of "2" is multiplied by a numbered value of "3". So, now showing this by the help of LaTeX.
Hope it helps.
Hope it helps.
For each <em>x</em> in the interval 0 ≤ <em>x</em> ≤ 5, the shell at that point has
• radius = 5 - <em>x</em>, which is the distance from <em>x</em> to <em>x</em> = 5
• height = <em>x</em> ² + 2
• thickness = d<em>x</em>
and hence contributes a volume of 2<em>π</em> (5 - <em>x</em>) (<em>x</em> ² + 2) d<em>x</em>.
Taking infinitely many of these shells and summing their volumes (i.e. integrating) gives the volume of the region:
