Using your calculator to help, sketch the following parametrically defined curve on a set of coordinate axes below. Standard window view is fine, but make sure your t – interval is at minimum [-2pi, 2pi]. Indicate the orientation in your graph. Mark the 5 points where t=-pi, -pi/2, 0, pi/2, pi with their rectangular coordinates. x=2sin(t)  y=9-t^2 b) Construct the parametric form of dy/dx. c) Use your derivative from part B to do the following: identify the three tangent line slopes at the y-intercepts that are visible in the standard window. (there are two y-intercepts, but one of them is crossed through TWICE by this curve)

a) Using your calculator to help, sketch the following parametrically defined curve on a set of coordinate axes below. Standard window view is fine, but make sure your t – interval is at minimum [-2pi, 2pi]. Indicate the orientation in your graph. Mark the 5 points where t=-pi, -pi/2, 0, pi/2, pi with their rectangular coordinates. x=2sin(t)  y=9-t^2

b) Construct the parametric form of dy/dx.

c) Use your derivative from part B to do the following: identify the three tangent line slopes at the y-intercepts that are visible in the standard window. (there are two y-intercepts, but one of them is crossed through TWICE by this curve)