The graph of f(x) = 6e−7x, the x-axis, the y-axis, and the line x = 3

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The graph of f(x) = 6e−7x, the x-axis, the y-axis, and the line x = 3 form a bounded region. Find the volume of the solid obtained by revolving the region about the y-axis. Select the correct answer below: 127π(1−4 e−21) units 3 127π(1+4 e−21) units 3 1249π(1−22 e−21) units 3 1249π(1+22 e−21) units 3

The graph of f(x) = 6e−7x, the x-axis, the y-axis, and the line x = 3 form a bounded region. Find the volume of the solid obtained by revolving the region about the y-axis. Select the correct answer below: 127π(1−4 e−21) units 3 127π(1+4 e−21) units 3 1249π(1−22 e−21) units 3 1249π(1+22 e−21) units 3

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The graph of

f (x) = 6 e^{- 7 x}

, the

x

-axis, the

y

-axis, and the line

x = 3

form a bounded region. Find the volume of the solid obtained by revolving the region about the

y

-axis.

Select the correct answer below:

\frac{12}{7} π (1 - 4 e^{- 21})

units

^{3}

\frac{12}{7} π (1 + 4 e^{- 21})

units

^{3}

\frac{12}{49} π (1 - 22 e^{- 21})

units

^{3}

\frac{12}{49} π (1 + 22 e^{- 21})

units

^{3}

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