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Fiesta28 [93]
3 years ago
14

I need help with this question

Mathematics
1 answer:
alukav5142 [94]3 years ago
7 0
Union = {1,3,4,5,6,7}
Intersection = {5,6}
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In the theory of learning, the rate at which a subject is memorized is assumed to be proportional to the amount that is left to
babymother [125]

Answer:

dA/dt = k1(M-A) - k2(A)

Step-by-step explanation:

If M denote the total amount of the subject and A is the amount memorized, the amount that is left to be memorized is (M-A)

Then, we can write the sentence "the rate at which a subject is memorized is assumed to be proportional to the amount that is left to be memorized" as:

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At the same way, we can write the sentence: "the rate at which material is forgotten is proportional to the amount memorized" as:

Rate forgotten = k2(A)

Where k2 is the constant of proportionality for the rate at which material is forgotten.

Finally, the differential equation for the amount A(t) is equal to:

dA/dt = Rate Memorized - Rate Forgotten

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