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Solnce55 [7]
3 years ago
12

When water leaks through a hole, friction and contraction of the stream near the hole reduce the volume of water leaving the tan

k per second to cAh 2gh , where c (0 < c < 1) is an empirical constant. Determine a differential equation for the height of the water h at time t > 0. The radius of the hole is 6 in., g = 32 ft/s2, and the friction/contraction factor is c = 0.6. (Assume the removed apex of the cone is of negligible height and volume.)

Mathematics
1 answer:
Romashka [77]3 years ago
3 0

Answer:

The explanation is given in the attachment.

Step-by-step explanation:

The step by step explanation and careful derivation is as shown in the attachment.

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Step-by-step explanation:

If we negate a quantified statement, first we negate all the quantifiers in the statement from left to right, ( keeping the same order ) then we negative the statement,

Here, the given statement,

1. ∃y ∈Z such that ∀x ∈Z, R (x + y)

By the above definition,

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2. Similarly,

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