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April 1, 2015

April 1, 2015

Posted by **bryan** on Sunday, February 3, 2013 at 11:47am.

- Calculus -
**Reiny**, Sunday, February 3, 2013 at 12:09pmmake a sketch, place the man x m from the light

let the length of the shadow on the wall me y m

by similar triangles : 2/x = y/12

xy = 24

x dy/dt + y dx/dt = 0

dy/dt = -y dx/dt / x

when he is 4 m from the wall x = 8 (look at our diagram)

so in xy=24 --> 8y = 24 or y = 3

and dx/dt = 1.6

dy/dt = -3(1.6)/8

= - .6 m

at that moment his shadow is decreasing at .6 m /s

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