2. A bead is sliding down the curve given by the equation 2xy? . 1/y = 1. When the bead reaches the point (1, 1), the bead is has a net speed from left to right of 1 m/sec. That is, dx/dt = 1 m/sec. Find dy/dt. 2 1

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
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Chapter2: Second-order Linear Odes
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2. A bead is sliding down the curve given by the equation 2xy2 - 1/y = 1. When the bead
reaches the point (1, 1), the bead is has a net speed from left to right of 1 m/sec. That
is, dx/dt = 1 m/sec. Find dy/dt.
2
1
1
3. A Grandma is zipping down a 20-meter cable that is pulled tight from a height of 10
meters down to ground level. When Grandma is 5 meters above ground, she was going
at 1 meter per second along the cable. How fast is Grandma's height h above the
ground decreasing at that moment?
Grandma
10 m
h
Transcribed Image Text:2. A bead is sliding down the curve given by the equation 2xy2 - 1/y = 1. When the bead reaches the point (1, 1), the bead is has a net speed from left to right of 1 m/sec. That is, dx/dt = 1 m/sec. Find dy/dt. 2 1 1 3. A Grandma is zipping down a 20-meter cable that is pulled tight from a height of 10 meters down to ground level. When Grandma is 5 meters above ground, she was going at 1 meter per second along the cable. How fast is Grandma's height h above the ground decreasing at that moment? Grandma 10 m h
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