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:

the cat is blue because the probability of extension towards the prefix of the diameter of the circle could only mathematically equal to the sum of the roots of the carrots from   your garden.

step-by-step explanation: