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2 years ago

Find the inverse of each of the given functions. h(x)= 2x-4/3

Mathematics

1 answer:

cupoosta [38]2 years ago

7 0

Answer:

h^-1(x)=x/2+2/3

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).

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

I need help on this,

kondor19780726 [428]

Answer:

Step-by-step explanation:

You can eliminate answer A because when X=1, Y must equal 33.75 not 33.

You can eliminate answer B because when X=0, Y must equal 0 not 1.

You can eliminate answer D because this answer has the X and Y coordinates reversed. When X=1, Y= 33.75. When X=4, Y=135, etc.

8 0

2 years ago

Mr. Lewis designed a circular walkway in

NARA [144]

Answer:

The diameter is equal to the circumference divided by the number pi

Step-by-step explanation:

we know that

The circumference of the circular walkway is equal to

$C=\pi D$

where

D is the diameter

we have

$D=6\ ft$

substitute

$C=\pi (6)$

$C=6\pi\ ft$

Divide the diameter by the circumference

$\frac{D}{C}=\frac{6}{6\pi}$

$\frac{D}{C}=\frac{1}{\pi}$

$D=\frac{C}{\pi}$

The diameter is equal to the circumference divided by the number pi

8 0

3 years ago

How many cm are in 26 in? (1 in = 2.54 cm)

Contact [7]

Answer:

66.04

Step-by-step explanation:

26 x 2.54 =

= 66.04

5 0

2 years ago

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What the answer someone help me!!!

True [87]

Step-by-step explanation:

the answer to your question is

16/9

5 0

3 years ago

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