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vitfil [10]
2 years ago
8

Use your knowledge of transformations to find the

Mathematics
1 answer:
liberstina [14]2 years ago
5 0

Answer:

D B A C

Step-by-step explanation:

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Sketch the equilibrium solutions for the following DE and use them to determine the behavior of the solutions.
GREYUIT [131]

Answer:

y=\dfrac{1}{1-Ke^{-t}}

Step-by-step explanation:

Given

The given equation is a differential equation

\dfrac{dy}{dt}=y-y^2

\dfrac{dy}{dt}=-(y^2-y)

By separating variable

⇒\dfrac{dy}{(y^2-y)}=-t

\left(\dfrac{1}{y-1}-\dfrac{1}{y}\right)dy=-dt

Now by taking integration both side

\int\left(\dfrac{1}{y-1}-\dfrac{1}{y}\right)dy=-\int dt

⇒\ln (y-1)-\ln y=-t+C

Where C is the constant

\ln \dfrac{y-1}{y}=-t+C

\dfrac{y-1}{y}=e^{-t+c}

\dfrac{y-1}{y}=Ke^{-t}

y=\dfrac{1}{1-Ke^{-t}}

from above equation we can say that

When t  will increases in positive direction then e^{-t} will decreases it means that {1-Ke^{-t}} will increases, so y will decreases. Similarly in the case of negative t.

4 0
3 years ago
Simplify(4-x) (7+x) <br>​
Sophie [7]

(4-x) ( 7+ ×)

28 +4x -7x -x²

28 -3x - x²

7 0
2 years ago
Determine if -10,-12,or -16is the solution of 2t-2=26
Dafna11 [192]
2t-2=26
first you would add 2 to both sides
that equals 2t=28
then you would divide both sides by two
that would give you
t= 14
3 0
3 years ago
G Blue Ribbon taxis offers shuttle service to the nearest airport. You look up the online reviews for Blue Ribbon taxis and find
Dominik [7]

Answer:

  1. This is a biased sampling method for obtaining customer opinions because those who take the time to write an online review are likely to do so because they are upset with the service they received.
  2. The direction of the bias is likely to overestimate the proportion of customers who have a negative opinion on the service.

Step-by-step explanation:

1)   There are groups which are not represented in the survey like those who don't use web. And also those who take the time to write an online review are likely to do so because they are upset with the service they received.

2)  Those who had negative experience are more likely to write a review than those who had not.

4 0
3 years ago
Use the net to find the surface area of the prism.
mel-nik [20]

Answer:

a. 96 in²

Step-by-step explanation:

The surface area of the prism = the sum of the area of each part of the net shown

✔️Area of the 2 equal triangles = 2(½*b*h)

b = 4 in

h = 3 in

Area of the two triangles = 2(½*4*3) = 12 in²

✔️Area of the rectangle 1 with the following dimensions:

L = 7 in

W = 3 in

Area = L*W = 7*3 = 21 in²

✔️Area of the rectangle 2 with the following dimensions:

L = 7 in

W = 4 in

Area = L*W = 7*4 = 28 in²

✔️Area of the rectangle 3 with the following dimensions:

L = 7 in

W = 5 in

Area = L*W = 7*5 = 35 in²

✅Surface area of the prism = 12 + 21 + 28 + 35 = 96 in²

4 0
2 years ago
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