Question

R is the region bounded by the functions f(x) = x^2 + 1 and the x-axis and the lines x=0 and x=4. Represent the volume when R is rotated around the line x=5. Volume = ??? [ ] dx Use pi for "?" and sqrt(x) for "?x"

          R is the region bounded by the functions
f(x) = x^2 + 1 and the x-axis
and the lines x=0 and x=4.
Represent the volume when R is rotated around the line x=5.
Volume = ??? [ ] dx
Use pi for "?" and sqrt(x) for "?x"

Added by Kimberly G.

Calculus: Early Transcendentals

James Stewart 8th Edition

Instant Answer

Solved by Expert Madhur L

04/06/2023

Step 1

First, we need to find the intersection points of the given functions. The intersection points are where $f(x) = \frac{x+1}{2}$ intersects the X-axis. This occurs when $f(x) = 0$, so we have $\frac{x+1}{2} = 0$. Solving for x, we get $x = -1$. However, this point Show more…

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R is the region bounded by the functions f(x) = x^2 + 1 and the x-axis and the lines x=0 and x=4. Represent the volume when R is rotated around the line x=5. Volume dx Use pi for "pi" and sqrt(x) for "sqrt(x)"