Q.04: (11 points) Given the polar curve r = e θ , where 0 ≤ θ ≤ 2π. Find points on the curve in the form (r, θ) where there is a horizontal or vertical tangent line. g

I suppose the curve is .

Tangent lines to the curve have slope ; use the chain rule to get this in polar coordinates.

We have

The tangent line is horizontal when the slope is 0, which happens wherever the numerator vanishes:

(where is any integer)

The tangent line is vertical when the slope is infinite or undefined, which happens when the denominator is 0:

idk

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sorry man i accidentally pressed yes my bad

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