Wednesday
July 30, 2014

Homework Help: Calculus

Posted by Anonymous on Friday, June 22, 2012 at 8:12am.

Suppose a ladder of length 36 feet rests against a wall, and we pull the base of the ladder horizontally away from the wall. For a given distance x that we pull the ladder horizontally, let g(x) be the height of the ladder on the wall, under the assumption that the other end of the ladder always contacts the wall. We know from Pythagorean theorem that for every x:
x2 + [g(x)]2 = 36^2

At what rate is the height changing when
x = 8?
When the ladder is 6 feet from the ground (g(x) = 6)?

Answer this Question

First Name:
School Subject:
Answer:

Related Questions

Calculus - a 5m ladder rests against a vertical wall. The top of the ladder ...
Math- Calculus - A 20 foot ladder is sliding down a vertical wall at a constant ...
Math- Calculus - A 20 foot ladder is sliding down a vertical wall at a constant ...
Math- Calculus - A 20 foot ladder is sliding down a vertical wall at a constant ...
Math- Calculus - A 20 foot ladder is sliding down a vertical wall at a constant ...
algebra - A ladder is resting against a wall. The top of the ladder touches the ...
Calculus Ladder Problem - A ladder 20 ft long rests against a vertical wall. Let...
calculus - A ladder 10 ft long rests against a vertical wall. let θ be the ...
calculus - A ladder 14 ft long rests against a vertical wall. Let \theta be the ...
Calculus - related rates: a ladder, 12 feet long, is leaning against a wall. if ...

Search
Members