Asked by DJ
Find the time at which the depth of the water in the tank is eual to half its initial depth. D(t)=sqrt(100-2t)
the tank is empty when t=50 min
the tank is empty when t=50 min
Answers
Answered by
bobpursley
at t=0, D is sqrt100=10
so what time is D=5
5=sqrt(100-2t)
solve that for t.
so what time is D=5
5=sqrt(100-2t)
solve that for t.
Answered by
jim
So what is the depth when full, when t=0?
We want to make sqrt(100-2t) = half of that, which is 5.
sqrt(100-2t) = 5
Square both sides.
Subtract 25 from both sides.
Now t is easy.
We want to make sqrt(100-2t) = half of that, which is 5.
sqrt(100-2t) = 5
Square both sides.
Subtract 25 from both sides.
Now t is easy.
There are no AI answers yet. The ability to request AI answers is coming soon!
Submit Your Answer
We prioritize human answers over AI answers.
If you are human, and you can answer this question, please submit your answer.