Question

# The problem is called self-answering problems because the answers are embedded in the

Math Word Problem

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 $$V′(t)=\cos t.$$ For time $$t=k$$, where $$0\leq k\leq\frac{\pi}{2}$$ determine the amount of water in the sink.

2021-06-16

The amount of water in the

$$\sin k=\int k$$;

$$0 \cos t\ dt\ V(t)=\sin t | k$$;

$$0 V(t)=\sin k$$