5) The counter clockwise movement of a particle around an ellipse is described by the equation 9x2 + 16y2 = 25. To get you started, here is a sketch: (0. 5/4) (-5/3. 0) (5/3, 0) 0 (0,-5/4) a) In which of the four quadrants is - > 0? Explain b) Find a relation between a, and . (Hint: this is asking you to take the implicit derivative to find an equation that includes the rates indicated) Show your work c) At what rate is the x-coordinate changing when the particle passes the point (1,1) if its y-coordinate is increasing at the rate of 6 m/s? Show work d) Find when the particle is at the top and bottom of the ellipse. Justify your