Find the slope of the polar curve at the indicated point.
-$$\mathrm { r } = 9 , \theta = \frac { \pi } { 2 }$$
A) 1
B) $- \frac { \sqrt { 3 } } { 3 }$
C) $- \sqrt { 3 }$
D) 0

Question

Quizplus · Accepted Answer

At $	heta = \frac{\pi}{2}$, the polar curve is a vertical line. The slope of a vertical line is undefined, or 0, depending on convention. The choices A, B, and C are all slopes of lines with a finite slope, so they are not valid options. Therefore, the answer is D: 0.

Find the Slope of the Polar Curve at the Indicated r=9,θ=π2\mathrm { r } = 9 , \theta = \frac { \pi } { 2 }r=9,θ=2π​

Find the Slope of the Polar Curve at the Indicated $\mathrm { r } = 9 , \theta = \frac { \pi } { 2 }$