Use the shell method to compute the volume (CALCULUS HELP!!!)
1 answer:
Use the shell method. The volume is
<em>V</em> = 2<em>π</em> ∫₅⁸ (<em>x</em> - 5) <em>x</em> ² d<em>x</em>
<em>V</em> = 2<em>π</em> ∫₅⁸ (<em>x</em> ³ - 5<em>x</em> ²) d<em>x</em>
<em>V</em> = 2<em>π</em> (1/4 <em>x</em> ⁴ - 5/3 <em>x</em> ³) |₅⁸
<em>V</em> = <em>π</em>/6 (3<em>x</em> ⁴ - 20<em>x</em> ³) |₅⁸
<em>V</em> = <em>π</em>/6 ((3 × 8⁴ - 20 × 8³) - (3 × 5⁴ - 20 × 5³))
<em>V</em> = 891<em>π</em>/2
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The final equation is:
Further explanation:
The general form of equation of a line in slope-intercept form is:
Here m is the slope
Given
m=1
(x,y) = (-7,-4)
To find the value of b, we have to put the point in the equation
The final equation is:
Keywords: Slope-intercept form, equation of line
Learn more about slope-intercept form at:
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