BuyFind

Calculus

10th Edition
Ron Larson + 1 other
Publisher: Cengage Learning
ISBN: 9781285057095
BuyFind

Calculus

10th Edition
Ron Larson + 1 other
Publisher: Cengage Learning
ISBN: 9781285057095

Solutions

Chapter 8.7, Problem 90E

(a)

To determine

To prove: The tangent line of the path of the weight is dydx=144x2x; where a person moves from the origin pulling a weight at the end of a 12-meter rope and the weight is initially located at the point (12,0).

(b)

To determine

To calculate: The equation of the path of the weight and to graph the equation of path of the weight by use of graphing utility by the use of the tangent line of the path of the weight, that is dydx=144x2x.

(c)

To determine

To calculate: The vertical asymptotes of the function y=12ln(12144x2x)144x2.

(d)

To determine

To calculate: The distance the weight has moved when the person has reached the point (0,12) when the person moves from the origin pulling a weight at the end of a 12-meter rope and the weight is initially located at the point (12,0).

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