# Determining the Slope and Tangent Lines for a Polar Curve - Page 3

Questions

- What is the equation of the line that is normal to the polar curve #f(theta)=-5theta- sin((3theta)/2-pi/3)+tan((theta)/2-pi/3) # at #theta = pi#?
- What is the equation of the tangent line of #r=-2sin(6theta-(4pi)/3) # at #theta=(2pi)/3#?
- What is the slope of the tangent line of #r=-2sin(2theta)+cos(3theta)# at #theta=(-11pi)/8#?
- What is the equation of the tangent line of #r=-5cos(-theta-(pi)/4) + 2sin(theta-(pi)/12)# at #theta=(-5pi)/12#?
- What is the slope of the tangent line of #r=theta/3+sin((3theta)/8+(5pi)/3)# at #theta=(11pi)/8#?
- What is the slope of the tangent line of #r=(sin^2theta)/(-thetacos^2theta)# at #theta=(pi)/4#?
- What is the slope of the tangent line of #r=5theta+cos(-theta/3-(pi)/2)# at #theta=(-pi)/6#?
- What is the slope of the polar curve #f(theta) = theta^2-theta - cos^3theta + tan^2theta# at #theta = pi/4#?
- What is the slope of #r=tantheta-theta# at #theta=pi/8#?
- What is the slope of the polar curve #f(theta) = theta - sec^3theta+thetasin^3theta # at #theta = (5pi)/8#?
- What is the slope of the polar curve #f(theta) = theta^2 - sec^3theta+tantheta # at #theta = (3pi)/4#?
- What is the equation of the tangent line of #r=theta-sin(-theta+(pi)/3) # at #theta=(2pi)/3#?
- What is the equation of the tangent line to the polar curve # f(theta)=theta^2cos(3theta)-thetasin(2theta)+tan(theta/6) # at #theta = pi#?
- What is the slope of the polar curve #f(theta) = theta^2-theta - cos^3theta + tan^2theta# at #theta = pi/3#?
- What is the slope of the polar curve #f(theta) = sectheta - csctheta # at #theta = (3pi)/4#?
- What is the slope of the tangent line of #r=theta-cos(4theta-(3pi)/4)# at #theta=(-2pi)/3#?
- A particle is travelling an elliptical path described by #(3sin(2t)), 4cos(2t))#. Find the points at which it is travelling fastest?
- What is the equation of the tangent line of #r=2cos(theta-(3pi)/4) +2sin(-theta+(3pi)/2)# at #theta=(-5pi)/12#?
- What is the slope of #r=tantheta^2-theta# at #theta=(3pi)/8#?
- What is the equation of the tangent line of #r=cos^2(theta-pi) +sin^2(theta-3pi)-theta# at #theta=(-13pi)/4#?