Unit 8.1 of Math 152

example

  • EX1 Find the slope of the tangent to the asteroid , as a function of the parameter

        • At what point is the tangent is horizontal
        • At what point is the tangent vertical
        • at what point is slope = 1
        • at what point is slove equal to -1
  • Ex 2, find the area under on arch of the cycloid

    • Area
    • Arc length
      • L=
            • = 8t
  • Ex 3 Find the surface area

    • , ,
              • =
  • Ex 4 Polar coordinate are parametric equastions

            • finding the area using the equasion
                • = 8
            • finding the volume of revolution
              • A=