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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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Answer:

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Step-by-step explanation:

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Hello! I can help you with this!

a. The function that would best represent Samantha's account is f(5) = 500(1 + 0.04)^5. This is because $500 is the principal, the interest rate is 4%, and we're looking for the amount in the savings account 5 years later.

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