dx (Ipts) when-? and T-4 for Assume that x andy are both differentiable function

Question

dx (Ipts) when-? and T-4 for Assume that x andy are both differentiable functions of! Find the equation xy = 99. 29) dx d-39 -= 44 dr dr=-44 dr O dx 44 dr g dr 30) A ladder 25 feet long is leaning against the wall of a house (see the figure below). The base of the Ups) ladder is pulled away from the wall at a rate of 2 feet per second. Find the rate at which the angle between the ladder and the wall of the house is changing when the base of the ladder is 10 feet from the wall. Round your answer to three decimal places b ft 0.112 rad/sec 0087 rad/sec 2260 rad/sec 2.315 rad/sec 0.347 rad/sec

Explanation / Answer

29. xy = 99

y = 99/x

Differentiating

dy/dt = ( -99/ x2)(dx/dt)

-4 = (-99/121)(dx/dt)

dx/dt = 484/99 = 44/9

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