Finding the Equation of a Tangent Line with Derivatives
 

Finding the Equation of a Tangent Line with Derivatives problem 83


    The points , and are given in a plane. By mirroring the point B over the line , the point D is gotten.

  • Draw the points A, B, C and D in the coordinate system below and obtain the equation of the triangle of the outlined circle.




  • Calculate the area of quadrilateral ABCD


  • Rotate the triangle ABC by around the side AC to get the geometric shape G. Prove that the volume of the solid G is , where and .


  • Calculate the abscissa of the point T on the x-axis so that the sum of the squares of the distances from the point T to the point A and from the point T to the point C is minimal.


 

material editor: Azeez Adesina