You are given the polar curve r=eθ. (a) List all of the points (r,θ) where the tangent line is horizontal. List the points starting with the smallest value of rr and limit yourself to 1≤r≤10001≤r≤1000 ( note the restriction on rr!) and 0≤θ<2π.0≤θ<2π.
If two or more points share the same value of rr, list those starting with the smallest value of θ.θ. If any blanks are unused, type an upper-case "N" in them.
Point 1: (r,θ)=(r,θ)= ( , )
Point 2: (r,θ)=(r,θ)= ( , )
Point 3: (r,θ)=(r,θ)= ( , )