Question

8. Find the volume of the solid obtained by rotating the region bounded by ONE of the TWO given sets of curves. a) $y = 2x + 4$, $y = 0$, $x = 0$, $x = 4$, spin about the $x = 6$. b) $y = 2 - x$, $y = 0$, $x = 0$, spin about the $y = 4$.

          8. Find the volume of the solid obtained by rotating the region bounded by ONE of the
TWO given sets of curves.
a) $y = 2x + 4$, $y = 0$, $x = 0$, $x = 4$, spin about the $x = 6$.
b) $y = 2 - x$, $y = 0$, $x = 0$, spin about the $y = 4$.

8. Find the volume of the solid obtained by rotating the region bounded by ONE of the
TWO given sets of curves.
a) y = 2x + 4, y = 0, x = 0, x = 4, spin about the x = 6.
b) y = 2 - x, y = 0, x = 0, spin about the y = 4.

Added by Jesus B.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Israel Hernandez

07/25/2022

Step 1

For part a), the region is bounded by the lines y = 2x + 4, y = 0, x = 0, and x = 4. To sketch this region, we can start by plotting the points where the lines intersect the axes. When y = 0, we have x = 0 and x = 4. When x = 0, we have y = 4. When x = 4, Show more…

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please show as much logic and steps as possible, thank you 8. Find the volume of the solid obtained by rotating the region bounded by ONE of the TWO given sets of curves. a) y = 2x + 4, y = 0,x = 0, x = 4, spin about the x = 6. b) y = 2 - x, y = 0, x = 0, spin about the y = 4.