You are given the polar curve r=e^( heta ).
(a) List all of the points (r, heta ) where the tangent line is horizontal. In entering your answer, list the points starting with the smallest value of r and
limit yourself to 1<=r<=1000 ( note the restriction on r !) and 0<= heta <2pi . If two or more points share the same value of r, list those starting
with the smallest value of heta . If any blanks are unused, type an upper-case " N " in them.
Point 1: (r, heta )=1
Point 2: (r, heta )=(,)
Point 3: (r, heta )=1,-,
(b) List all of the points (r, heta ) where the tangent line is vertical. In entering your answer, list the points starting with the smallest value of r and
limit yourself to 1<=r<=1000 ( note the restriction on r !) and 0<= heta <2pi . If two or more points share the same value of r, list those starting
with the smallest value of heta . If any blanks are unused, type an upper-case " N " in them.
Point 1: (r, heta )=1,1
Point 2: (r, heta )= ।
Point 3: (r, heta )=1
You are given the polar curve r= e
(a) List all of the points (r, 0) where the tangent line is horizontal. In entering your answer, list the points starting with the smallest value of r and limit yourself to 1 r 1000 (note the restriction on r!) and 0 0 < 2Tr. If two or more points share the same value of r, list those starting with the smallest value of .If any blanks are unused,type an upper-case "N" in them.
Point 1: (r,=
Point2:r=
Point3:r=
(b List all of the points (r, where the tangent line is vertical. In entering your answer, list the points starting with the smallest value of r and limit yourself to 1r1000 (note the restriction on r!) and 0< 2Tr. If two or more points share the same value of r, list those starting with the smallest value of .If any blanks are unused,type an upper-case "N" in them.
Point1:r=
Point2:r=
Point3:r=