# Determining the Slope and Tangent Lines for a Polar Curve - Page 2

Questions

- What is the slope of the tangent line of #r=theta-sin((10theta)/3-(pi)/8)# at #theta=(pi)/4#?
- What is the equation of the line that is normal to the polar curve #f(theta)=sin(2theta+pi) -theta# at #theta = pi/4#?
- What is the slope of the tangent line of #r=5theta+cos(-theta/3-(pi)/2)# at #theta=(-5pi)/6#?
- How do you sketch the graph of the polar equation and find the tangents at the pole of #r=3sintheta#?
- What is the equation of the tangent line of #r=tan^2theta - costheta# at #theta=pi/4#?
- Determine the points on the curve 5x² + 6xy +5y² =8 where the tangent is parallel to the line x-y= 1?
- What is the slope of the tangent line of #r=(sin^2theta)/(theta-thetacos^2theta)# at #theta=(pi)/4#?
- What is the slope of the polar curve #f(theta) = -theta + sectheta - costheta # at #theta = (5pi)/4#?
- What is the slope of the tangent line of #r=theta-cos((4theta)/3-(3pi)/4)# at #theta=(-2pi)/3#?
- What is the slope of the tangent line of #r=theta-sin((theta)/3-(2pi)/3)# at #theta=(pi)/4#?
- What is the slope of the polar curve #f(theta) = sectheta - csctheta # at #theta = (3pi)/8#?
- What is the equation of the tangent line of #r=cot^2theta - sintheta# at #theta=pi/4#?
- How do you sketch the graph of the polar equation and find the tangents at the pole of #r=3costheta#?
- How do you find the equation of the tangent lines to the polar curve #r=4cos(theta)# at #theta=0# ?
- A cow is tied to a silo with radius #r# by a rope just long enough to reach the opposite side of the silo. Find the grazing area available for the cow?
- How do you find the equation of the tangent line to the polar curve #r=3+8sin(theta)# at #theta=pi/6# ?
- How do you find the slope of the tangent line to a polar curve?
- What is the slope of the tangent line of #r=theta-sin((theta)/6+(2pi)/3)# at #theta=(pi)/4#?
- How do you find the points of horizontal tangency of #r=2csctheta+5#?
- How do you find the points of horizontal tangency of #r=2cos(3theta-2)#?