A 10-ft ladder slides down a wall as its bottom B is pulled away from the wall

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A 10-ft ladder slides down a wall as its bottom B is pulled away from the wall (Figure 21). Using the angle θ as a parameter, find the parametric equations for the path followed by

(a) The top of the ladder A,

(b) The bottom of the ladder B, and

(c) The point P on the ladder, located 4 ft from the top. Show that P describes an ellipse.

A 4 P= (x, y) 0 B -X

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Calculus

ISBN: 9781319055844

4th Edition

Authors: Jon Rogawski, Colin Adams, Robert Franzosa

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