Question

21. Find the volume of the solid generated by revolving the region bounded by the graphs of the equations about the line $x = 2$. $y = 2x^2$, $y = 0$, $x = 2$ 22. Find the arc length of the graph of the function over the indicated interval. $y = \frac{3}{2}x^{2/3} + 4$, $[1, 27]$ 23. Find a set of parametric equations for the rectangular equation that satisfies the given condition. $y = 4x + 1$, $t = -1$ at the point $(-2, -7)$ 24. Find $\frac{dy}{dx}$ and find the slope at $\theta = -\frac{\pi}{3}$ $x = 2 + sec\theta$, $y = 1 + 2 tan\theta$ 25. Find the area of the surface generated by revolving the polar equation over the given interval about the line $\theta = \frac{\pi}{2}$ $r = a cos\theta$, $0 \le \theta \le \frac{\pi}{2}$

          21. Find the volume of the solid generated by revolving the region bounded by the graphs of
the equations about the line $x = 2$.
$y = 2x^2$, $y = 0$, $x = 2$

22. Find the arc length of the graph of the function over the indicated interval.
$y = \frac{3}{2}x^{2/3} + 4$, $[1, 27]$

23. Find a set of parametric equations for the rectangular equation that satisfies the given condition.
$y = 4x + 1$, $t = -1$ at the point $(-2, -7)$

24. Find $\frac{dy}{dx}$ and find the slope at $\theta = -\frac{\pi}{3}$
$x = 2 + sec\theta$, $y = 1 + 2 tan\theta$

25. Find the area of the surface generated by revolving the polar equation over
the given interval about the line $\theta = \frac{\pi}{2}$
$r = a cos\theta$, $0 \le \theta \le \frac{\pi}{2}$

21. Find the volume of the solid generated by revolving the region bounded by the graphs of
the equations about the line x = 2.
y = 2x^2, y = 0, x = 2

22. Find the arc length of the graph of the function over the indicated interval.
y = (3)/(2)x^2/3 + 4, [1, 27]

23. Find a set of parametric equations for the rectangular equation that satisfies the given condition.
y = 4x + 1, t = -1 at the point (-2, -7)

24. Find (dy)/(dx) and find the slope at θ = -(π)/(3)
x = 2 + secθ, y = 1 + 2 tanθ

25. Find the area of the surface generated by revolving the polar equation over
the given interval about the line θ = (π)/(2)
r = a cosθ, 0 ≤θ≤(π)/(2)

Added by Jose Luis B.

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