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Ainat [17]
3 years ago
14

Does this table represent a function? Why or why not? X у 2 1 3 4 4 4 2 un on 5 A. No, because one x-value corresponds to two di

fferent y-values. B. Yes, because every x value corresponds to exactly one y-value C. Yes, because there is the same number of x values as yvalues. D. No, because two of the y values are the same.​

Mathematics
1 answer:
liq [111]3 years ago
6 0

Answer: A. No, because one x-value corresponds to two different y-values.

Step-by-step explanation:

Because the picture.

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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
4 years ago
This question made me stuck lol.. I really need help
Svetach [21]
(4,5)(2,1)
slope = (1 - 5) / (2 - 4) = -4/-2 = 2

(-2,3)(-4,4)
slope = (4 - 3) / (-4 - (-2) = 1/(-4 + 2) = -1/2

2 and -1/2 are negative reciprocals of each other....therefore, ur lines are perpendicular <==


5 0
3 years ago
Which is an equation for the circle with a center at (-2, 3) and a radius of 3?
kkurt [141]

Answer:

(x+2)^2 +(y-3)^2 = 9

Step-by-step explanation:

(x-h)^2 +(y-k)^2 = r^2

Where (h, k) is the center of the circle

And r is the radius of the circle.

Hope this helps.

6 0
3 years ago
Evaluate the following expression: -2|9|.<br> -18<br> -11<br> 11<br> 18
Blababa [14]

Answer:

-18 mat-way is good to use

6 0
3 years ago
I just drew a blank can someone please help
PIT_PIT [208]

Answer:

≈ 542,029 copies

Step-by-step explanation:

37,400 copies represents a 6.9% of the total copies sold to date.

Therefore; Copies sold to date will be 100%

Thus;

Total number of copies sold = (37,400/6.9)× 100

                                               = 542,028.99 copies

                                               <u>≈ 542029 copies</u>

3 0
3 years ago
Read 2 more answers
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