Thursday

April 24, 2014

April 24, 2014

Posted by **Anonymous** on Wednesday, November 2, 2011 at 11:56am.

I got one answer for the horizontal tangent. and it's theta = 0 but what are the other ones?/

- calculus -
**Steve**, Wednesday, November 2, 2011 at 1:07pmsince r = θ

x = r cosθ

y = r sinθ

dy/dθ = r' sinθ + r cosθ = sinθ + θcosθ

dx/dθ = r' cosθ - r sinθ = cosθ - θsinθ

dy/dx = (sinθ + θcosθ)/(cosθ - θsinθ)

You are correct that dy/dx = 0 when θ=0

It is also zero when x = 2.04 and 4.88

(approximately)

The tangent is vertical when the denominator is zero: x = 0.84 and 3.45

**Related Questions**

calculus - Find the area of the region lying inside the polar curve r = 2(1 &#...

calculus - Find the area of the region lying inside the polar curve r = 2(1 &#...

calculus - For what values of theta, on the polar curve r=theta, 0<=theta<...

calculus - find the area of the region bounded by the polar curve r=sqrt(6ln(...

Precal - How do you find range of theta values for a polar equation? Usually the...

Calculus - I wanted to confirm that I solved these problems correctly (we had to...

calculus - Consider a plane curve which is described in polar coordinates (r...

Calculus - Consider a plane curve which is described in polar coordinates (r...

calculus - Consider a plane curve which is described in polar coordinates (r...

Calculus - I'm extremely confused on what to do in part a of this question. ...