4) 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: = (-5/3, 0) -2 dx a) In which of the four quadrants is dt 2 (0,5/4) -1- 0 -1- (0,-5/4) -2- (5/3, 0) > 0 ? Explain 2 dx dy dt dt b) Find a relation between and (Hint: this is asking you to take the implicit derivative to nd an equation that includes the rates indicated) Show your work

4) 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: = (-5/3, 0) -2 dx a) In which of the four quadrants is dt 2 (0,5/4) -1- 0 -1- (0,-5/4) -2- (5/3, 0) > 0 ? Explain 2 dx dy dt dt b) Find a relation between and (Hint: this is asking you to take the implicit derivative to nd an equation that includes the rates indicated) Show your work

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter11: Topics From Analytic Geometry

Section11.3: Hyperbolas

Problem 44E

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