6th Edition

ISBN: 8220100475559

Author: Edwards

Publisher: YUZU

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Chapter 8.7, Problem 90E

TractrixA person moves from the origin along the positive y-axis pulling a weight at the end of a 12–meter rope (see figure). Initially, the weight is located at the point (12, 0).

d y d x = − 144 − x 2 ¯ x

Chapter 8.7, Problem 90E, TractrixA person moves from the origin along the positive y-axis pulling a weight at the end of a

(a) Show that the slope of the tangent line of the path of the weight is

(b) Use the result of part (a) to find the equation of the path of the weight. Use a graphing utility to graph the path and compare it with the figure.

(d) When the person has reached the point (0,12), how far has the weight moved?

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Chapter 8.7, Problem 89E

Chapter 8.7, Problem 91E

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Chapter 8 Solutions

EBK CALCULUS: EARLY TRANSCENDENTAL FUNC

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Solution Summary: The author explains the Pythagoras theorem by drawing a diagram of the tangent line passing through the points.

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