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anonymous
 4 years ago
. A 25 ft ladder is leaning against a vertical wall. The bottom of the ladder is pulled horizontally away from the wall at 3 ft/sec. Determine how fast the top of the ladder is sliding when the bottom of the ladder is 15 ft from the wall.
A) –4 ft/sec
B) –2.25 ft/sec
C) –13.375 ft/sec
D)–12.25 ft/sec
E) –0.75 ft/sec
anonymous
 4 years ago
. A 25 ft ladder is leaning against a vertical wall. The bottom of the ladder is pulled horizontally away from the wall at 3 ft/sec. Determine how fast the top of the ladder is sliding when the bottom of the ladder is 15 ft from the wall. A) –4 ft/sec B) –2.25 ft/sec C) –13.375 ft/sec D)–12.25 ft/sec E) –0.75 ft/sec

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anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0first write the position of the top as a function of the position of the bottom

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0How do I do that? please explain in detail

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0although if you don't have to show your work, you can just guess the sensible answer

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0Put the bottom of the ladder at (x,0) and the top of the ladder at (0,y). How would you write the constraint requirement that the ladder is length 25?

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0Hint.dw:1326760267836:dw

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0Yes, sounds true to me

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0So then I take the derivative of the Theorem?

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0Yes, if you're in the Implicit Differentiation section. If you want to do it a longer easier way, just write y as a function of x, then replace x by (3t) because x(t) = 3t and differentiate your y(t) with respect to t at time t=5 because x=15.

anonymous
 4 years ago
Best ResponseYou've already chosen the best response.0so should my derivative read \[dy/dx=(2x+2c)/(2y)\] ?
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