Use technology to find the surface area S of the surface generated whe

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Use technology to find the surface area S of the surface generated when the plane curve defined by the equations x(t) = −t2 − 3t + 1, y(t) = t3 + 3t2 + t − 2, on the interval 2 ≤ t ≤ 4, is revolved around the x-axis. If necessary, round your answer to two decimal places. Provide your answer below: S ≈

Use technology to find the surface area S of the surface generated when the plane curve defined by the equations x(t) = −t2 − 3t + 1, y(t) = t3 + 3t2 + t − 2, on the interval 2 ≤ t ≤ 4, is revolved around the x-axis. If necessary, round your answer to two decimal places. Provide your answer below: S ≈

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Use technology to find the surface area

S

of the surface generated when the plane curve defined by the equations

x (t) = - t^{2} - 3 t + 1

,

y (t) = t^{3} + 3 t^{2} + t - 2

, on the interval

2 \leq t \leq 4

, is revolved around the

x

-axis. If necessary, round your answer to two decimal places.

Provide your answer below:

S \approx ◻

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