# At time t=0, water begins pouring into an empty sink so that the volume of water is changing at a rate V′(t)=cos t. For time t=k, where 0<= k<= pi/2

The problem is called self-answering problems because the answers are embedded in the question. For example, how many ways can you arrange the letters in the word “six”? The answer is six. At time t=0, water begins pouring into an empty sink so that the volume of water is changing at a rate V′(t)=cost. For time t=k, where $$0≤k≤π/2$$​​​​​​​, determine the amount of water in the sink.

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svartmaleJ
The amount of water in the sink=&int;k.0 cost dt

V(t)=sint | k.0

V(t)=sink