Determining the Slope and Tangent Lines for a Polar Curve - Page 8

Questions
  • Find thentangent lines to the curve y^2-x+1=0 at the points (2,-1) and (2,1)?
  • What is the slope of the tangent line of #r=(sin^2theta)/(2theta-thetacos2theta)# at #theta=(pi)/4#?
  • What is the equation of the line that is normal to the polar curve #f(theta)=sintheta-theta/2# at #theta = pi/3#?
  • How to find the coordinates of each point on the curve where the tangent line is vertical?
  • What is the equation of the tangent line of #f(x) = (x-1)^4-x^2# at # x = 8#?
  • What is the equation of the tangent line of #f(x)= -3x^5-8x^3+4x^2# at # x=1#?
  • How do I answer the following questions?
  • Find all of the points on the curve #y = x^3 +5x^2# where the tangent line is parallel to the line #y = 11x−π#.?
  • A six foot tall woman is walking away from a #17# ft tall street light at #7# ft/sec. At what speed is the top of her shadow moving when she is 12 feet away from the street light ?
  • How to solve the unknown variable using calculus?
  • Can you help me find the equation of the tangent line?
  • 3x + 5y + 5z = −2 −3x + −1y + 0z = 7 −6x + 6y + 10z = k For what value of k is this system consistent?
  • For what values of #m# is line #y=mx# tangent to the hyperbola #x^2-y^2=1#?
  • How to solve this using differentiation ?
  • Find the equation of tangent to the curve #y=1/(x-3)# at #x=4#?
  • Find the equation of tangents from point #(12,3)# to ellipse #x^2+4y^2=36#?
  • If the tangent at any point on the curve x^4+y^4=a^4 cuts off intercepts p and q on the coordinate axis the value of p^-4/3 +q^-4/3 is ?