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4 years ago

Can someone help me answer this please

Mathematics

1 answer:

mash [69]4 years ago

8 0

Answer:

-16

Step-by-step explanation:

- ( -24/6) ^2

Simplify inside the parentheses

- ( -4) ^2

Square -4

-(16)

-16

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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

Please help me ll give you 40 branily

ahrayia [7]

Answer: Figure 2

Step-by-step explanation: A translation of the blue shaded shape would be figure 2

3 0

4 years ago

Answer question one and show work.

likoan [24]

Answer:

x = 28

Step-by-step explanation:

angle 1 and angle 2 are complementary (their sum is 90°)

x + 5 + 2x + 1 = 90 add like terms

3x + 6 = 90 subtract 6 from both sides

3x = 84 divide both sides by 3

x = 28

3 0

3 years ago

3+3<br> (This is just to get you points or complete challenges)

vova2212 [387]

Answer:

Step-by-step explanation:

3 0

3 years ago

Molly is on a game show. To win $1,000,000, she must answer this question: What key features are necessary—and how are the featu

MakcuM [25]

- Find the y-intercept
- Find the roots (i.e. x - intercepts)
- Determine where the function increases and where it increases, along with the maximum and minimum values.
- Determine where the function changes concavity along with the inflection points.
- Determine the special points, where the value of the function is not defined and try to find the limit when the value of x approachs to this values
- Determine the limits of the function when x approachs to positive infinity and negative infinity

- For some of those steps you need to know some concepts of calculus: limits and derivatives along with the rules that let you know if a point is a maximum, a minimum or an inflection point.

With that information you can sketch a polynomial function.

6 0

3 years ago