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max2010maxim [7]
2 years ago
12

Solve this problem on paper using all four steps.

Mathematics
1 answer:
sp2606 [1]2 years ago
3 0

Answer: 104 boxes were sold in 1 week.

Step-by-step explanation:

I think I'm right sorry if I'm not, good luck!

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Verify that P = Ce^t /1 + Ce^t is a one-parameter family of solutions to the differential equation dP dt = P(1 − P).
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Answer:

See verification below

Step-by-step explanation:

We can differentiate P(t) respect to t with usual rules (quotient, exponential, and sum) and rearrange the result. First, note that

1-P=1-\frac{ce^t}{1+ce^t}=\frac{1+ce^t-ce^t}{1+ce^t}=\frac{1}{1+ce^t}

Now, differentiate to obtain

\frac{dP}{dt}=(\frac{ce^t}{1+ce^t})'=\frac{(ce^t)'(1+ce^t)-(ce^t)(1+ce^t)'}{(1+ce^t)^2}

=\frac{(ce^t)(1+ce^t)-(ce^t)(ce^t)}{(1+ce^t)^2}=\frac{ce^t+ce^{2t}-ce^{2t}}{(1+ce^t)^2}=\frac{ce^t}{(1+ce^t)^2}

To obtain the required form, extract a factor in both the numerator and denominator:

\frac{dP}{dt}=\frac{ce^t}{1+ce^t}\frac{1}{1+ce^t}=P(1-P)

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3 years ago
Which of the following statement is false?
Setler79 [48]

Answer:

c not all complex are imaginary

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A car is driving at a speed of 40 mi/h. What is the speed of the car in feet per minute? a. 2,400 ft/min b. 211,200 ft/min c. 3,
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Answer:

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Step-by-step explanation:

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_____

Each conversion factor has a value of 1 (numerator = denominator), so changes the units without changing the speed.

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What is "the lm f."?

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