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Let's solve the following problem: A ladder a ft long rests against a vertical wall. If the bottom of the ladder slides away from the

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Let's solve the following problem: A ladder a ft long rests against a vertical wall. If the bottom of the ladder slides away from the wall at a rate of b ft/s, how fast is the top of the ladder sliding down the wall when the bottom of the ladder is c it from the wall? A mathematician interprets this situation using symbols and writes the following. =b dt 1 = a dh de s c =?Choose the correct relation between r and h. Or2 - c2 = h2 Or - a = h Othere is no relation between them. Finally, we can solve the problem using the technique of implicit differentiation evaluate dh de z- Note that r and h are changing but a, b and c are constants as time changes. Oundetermined O C Vaz - 62 O0 bc Va3 -c3 b O /a+c

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