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:
Rate Memorized = k1(M-A)
Where k1 is the constant of proportionality for the rate at which material is memorized.
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
dA/dt = k1(M-A) - k2(A)
Hello from MrBillDoesMath!
Answer:
m^2 + 11m - 11, which is the first choice
Discussion:
6m + (m-2)(m+7) +3 =
6m + (m^2 + 7m - 2m -14) + 3 =
(6m + 7m - 2m) + m^2 + (-14 + 3) = combine similar terms
11m + m^2 -11 =
m^2 + 11m - 11
which is the first choice
Thank you,
MrB
Step-by-step explanation:
x = 20
plz mark my answer as brainlist plzzzz.
<em>hope </em><em>this</em><em> will</em><em> be</em><em> helpful</em><em> to</em><em> you</em><em> </em><em>.</em>
