Waste less time on Facebook — follow Brilliant.
×

Polar Equations Calculus

Just because your equation is polar doesn't mean you can't do Calculus! Some tricks can extend the toolkit of Calculus to these special equations.

Surface Area

Find the area of the surface formed by revolving the curve \(r = 5 \sin\theta\) from \(\theta = 0\) to \(\theta = \frac{\pi}{2}\) about the \(x\)-axis.

Find the surface area generated when the curve \( r = e^{\theta}\) from \(\theta = 0\) to \(\theta = \frac{\pi}{2}\) is revolved about the \(x\)-axis.

Find the area of the surface formed by revolving the curve \(r = 5 \sin\theta\) from \(\theta = 0\) to \(\theta = \frac{\pi}{2}\) about the \(y\)-axis.

Find the area of the surface formed by revolving the curve \(r = 3 \cos(\theta)\) from \(\theta = 0\) to \(\theta = \frac{\pi}{2}\) about the \(x\)-axis.

Find the area of the surface formed by revolving the curve \(r = 5 \cos{\theta}\) from \(\theta = 0\) to \(\theta = \frac{\pi}{2}\) about the \(y\)-axis.

×

Problem Loading...

Note Loading...

Set Loading...