Question

A ladder 5m long leans against a house, find the rate at which, 1. the top of the ladder is moving downward if its foot is 3m from the house and moving away at the rate of 0.5m/sec
2.the slope of the ladder decreases

Answer 1

x^2 + y^2=25
differentiate wrt t
2x.dx/dt +2y.dy/dt=0
2*3*0.5+2*4*dy/dt=0
dy/dt=-3/8
means coming down by vel. 3/8

Answer 2

wat is d 2nd question exactly?