The Calculus of the Eiffel Tower Presented by: Ms. Kane

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Transcript of The Calculus of the Eiffel Tower Presented by: Ms. Kane

  • Slide 1
  • The Calculus of the Eiffel Tower Presented by: Ms. Kane
  • Slide 2
  • Tangent Curves on the Eiffel Tower
  • Slide 3
  • Slide 4
  • Prove that the equations are tangent to each other at (1,1) & (-1,1)
  • Slide 5
  • Area Between Curves on the Eiffel Tower Repainting the tower, which happens every seven years, requires 60,000 kilograms of paint. In 2016, the Eiffel Tower will be repainted, yet officials believe that a typical rectangular scaffold hurts tourism. While it is being painted, a scaffold will be built in the shape of the Eiffel Tower and have a mural depicting the Eiffel Tower painted on it so that the image of the Eiffel Tower will be viewed by tourists. Focusing on one section of the Eiffel Tower, this project demonstrates the area of this section.
  • Slide 6
  • Area Between Curves on the Eiffel Tower
  • Slide 7
  • Area of Shaded = 2.202 Region
  • Slide 8
  • Volume of the Eiffel Tower Square cross sections define the construction of the Eiffel Tower. Using the area of the section previously mentioned as the base of the cross section where the cross sections are squares, the volume of the section of the Eiffel Tower is calculated. The renovation of the 1 st floor of the Eiffel Tower will adapt to new building standards that allow for accessibility and various techniques will be implemented to help improve the Towers energy performance.
  • Slide 9
  • Volume of the Eiffel Tower with Square Cross Sections
  • Slide 10
  • Slide 11
  • Perpendicular to the y-axis need to work in terms of ys. Solve for x in terms of y. Area of a Square = (Side) 2
  • Slide 12
  • Length of Curves on the Eiffel Tower In 1923 a journalist rode a bicycle down from the first level. Some accounts say he rode down the stairs; other accounts suggest the exterior of one of the tower's four legs which slope outwardalong one of our equations.
  • Slide 13
  • Length of Curves on the Eiffel Tower
  • Slide 14
  • Length of Curve = 3.150 Find the length of the curve between the 1 st and 2 nd levels of the Eiffel Tower
  • Slide 15
  • The Calculus of the Eiffel Tower Presented by: Ms. Kane