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frutty [35]
2 years ago
13

One advantage of using a histogram is

Mathematics
1 answer:
spin [16.1K]2 years ago
5 0
D, because a histogram does not show individual data points
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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).
NemiM [27]

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)

3 0
3 years ago
Can someone please help me with this question
ElenaW [278]
A,C,B
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2 years ago
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Given below is the answer

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A cube has a volume of 1000 cubic feet. What is the length of an edge of the cube. Show your work
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Which expression represnts the product of 2xy and 3xy+5y-xy^2
melisa1 [442]

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You distribute the 2xy and get

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2 years ago
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