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3 years ago

What is the multiplicative inverse 23/7?

Mathematics

1 answer:

Elena-2011 [213]3 years ago

6 0

Answer:

7/23

Step-by-step explanation:

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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

Find the area of the figure.

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Answer:

37.5 Units

Step-by-step explanation:

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3 years ago

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Answer:

The answer is "1"

Step-by-step explanation:

Let 5 roman numbers are:

$\to I=1\\\\\to II=2\\\\\to III=3\\\\\to IV= 4\\\\\to V=5$

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$\to 1^2=1\\\\\to 2^2=4\\\\\to 3^2=6\\\\\to 4^2=16\\\\\to 5^2=25$

The smallest square number is= 1.

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What is a verbal expression for 15+ r

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Sum is the term used in verbal addition problems.
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3 years ago

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What is the multiplicative inverse 23/7?​

What is the multiplicative inverse 23/7?