1- Convert the Cartesian equation xy=4 to a polar equation.

2- Find the exact slope of the tangent line to polar curve r=89sin, at the point = /3.

3- Find the exact slope of the tangent line to the polar curve r=9cos at the point (9/2,/3).

4- Determine the slope of the tangent line to the polar curve r=3sin(2) at =2/3.

5- Find the points (x,y) at which thepolar curve r=4cos, /6 /3 has a vertical and horizontaltangent line.

6- Find the points (x,y) at which thepolar curve r=1+sin(),/4 /4 has a vertical and horizontaltangent line.