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As per an estimate, the depth D(t), in centimeters, of the water in a

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As per an estimate, the depth D(t), in centimeters, of the water in a  [#permalink]

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New post 01 Oct 2018, 23:41
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As per an estimate, the depth D(t), in centimeters, of the water in a tank at t hours past 12:00a.m. is given by \(D(t) = −10(t − 7)^2 + 100\), for 0 ≤ t ≤ 12. At what time does the depth of the water in the tank becomes the maximum?

(A) 5:30 a.m.
(B) 7:00 a.m.
(C) 7:30 a.m.
(D) 8:00 a.m.
(E) 9:00 a.m.

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Re: As per an estimate, the depth D(t), in centimeters, of the water in a  [#permalink]

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New post 02 Oct 2018, 00:17
For the Depth to be maximum, \((t−7)^2\) (Always Positive) should be minimum. At t=7. Value becomes 0. Then Depth will be 100 Centimeters.

B is the answer.
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Re: As per an estimate, the depth D(t), in centimeters, of the water in a &nbs [#permalink] 02 Oct 2018, 00:17
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