anonymous one year ago Find the length of the spiraling polar curve r=8e^(4θ) From 0 to 2π . i got this but it isn't right ((8sqrt(26)e^(8pi))/5)- ((8sqrt(26)e^(0))/5)

1. dan815

ok nick ignore all this we're starting over

2. dan815

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3. dan815

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4. Empty

Ok so start here, we can go more in depth if you'd like, but for polar coordinates this is what you'll have to evaluate $\int_0^{2 \pi}\sqrt{r^2+\left( \frac{dr}{d \theta} \right)^2 } d \theta$ I think you can probably evaluate r and dr/dtheta so there you have the actual formula. I can explain how to derive it if you're curious, but that's the answer. Ignore dan he's a dingus.

5. anonymous