Find the slopes of the tangent lines to the given

This preview shows page 3 - 7 out of 12 pages.

6. Find the slopes of the tangent lines to the given curves at the indicated points.
8. Sketch the graph and find the slope of the curve at the given point.
{ 3 4 2 5 4 x t t y t t at (0, 0) 20. Given the parametric equations for the position of an object, find the object’s velocity and speed at the given times and describe its motion.
2 2 2 2 2 2 ) 2 3sin( ) 3cos(3 ) 3 3cos( ) 3sin(3 ) 3 3 3 18 3 2 b t horizontalvelocity vertical velocity speed motionistotheleft and up     26. Find the area enclosed by the given curve.
28. Find the area enclosed by the given curve.
  3 2 4 3 2 4 2 2 2 6 4 2 2 2 7 5 3 2 4 , '( ) 3 4 1, '( ) 4 2 2, 1 3 4 3 4 3 4 3 4 3 4 7 5 3 1024 1024 2048 58.51 35 35 35 x t t x t t y t y t t t tracesclockwise A t t dt A t t t dt t t t A t A

  • Left Quote Icon

    Student Picture

  • Left Quote Icon

    Student Picture

  • Left Quote Icon

    Student Picture