Find the exact length of the polar curve described by: r=6 e^{-\theta} on the interval ...

Question:

Find the exact length of the polar curve described by: {eq}r=6 e^{-\theta} {/eq} on the interval {eq}\frac{5}{2} \pi \leq \theta \leq 6 \pi {/eq}

Length:

To find the arc length we will use the formula {eq}=\int \sqrt{r^{2}+\left ( \frac{\mathrm{d} r}{\mathrm{d} \theta} \right )^{2}}d\theta\\ {/eq} wheer we will put the value of r and differentiate it.

Answer and Explanation: 1

Become a Study.com member to unlock this answer!

View this answer

To find the arc length we will use the formula

{eq}=\int \sqrt{r^{2}+\left ( \frac{\mathrm{d} r}{\mathrm{d} \theta} \right...

See full answer below.

Become a member and unlock all Study Answers

Try it risk-free for 30 days

Try it risk-free

Ask a question

Our experts can answer your tough homework and study questions.

Ask a question

Search Answers

Learn more about this topic:

Loading...
Arc Length of a Sector: Definition and Area

from

Chapter 9 / Lesson 10
26K

Learn how to find the arc length of a sector with the formula and examples. Understand the formula and the method to find the area of a sector with examples.

Related to this Question

Explore our homework questions and answers library

Browse by subject