SOLUTION: if a, b, and c are sides of a right trinagle, where c is the hypotenuse and c is constant at 13cm, given that a is increasing at a rate of 3 cm/s, find the rate of change of b in c

Question 408753: if a, b, and c are sides of a right trinagle, where c is the hypotenuse and c is constant at 13cm, given that a is increasing at a rate of 3 cm/s, find the rate of change of b in cm/s when b=5cm.
Answer by richard1234(7193) (Show Source): You can put this solution on YOUR website!
Since is increasing at a constant rate, we can say that the rate of change of a is

Since we can write in terms of :

. Suppose we take the derivative of both sides (we can do this because we have equality for all a,b and their derivatives must be equal). Then,

When ,

(cm/s)
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