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horsena [70]
3 years ago
14

A transformation named T maps XYZ to X'Y'Z'. The transformation shown is a reflection translation dilation

Mathematics
1 answer:
xenn [34]3 years ago
7 0

Answer:

Step-by-step explanation:

Where is the image

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Find the general solution of x'1 = 3x1 - x2 + et, x'2 = x1.
Ann [662]
Note that if {x_2}'=x_1, then {x_2}''={x_1}', and so we can collapse the system of ODEs into a linear ODE:

{x_2}''=3{x_2}'-x_2+e^t
{x_2}''-3{x_2}'+x_2=e^t

which is a pretty standard linear ODE with constant coefficients. We have characteristic equation

r^2-3r+1=\left(r-\dfrac{3+\sqrt5}2\right)\left(r+\dfrac{3+\sqrt5}2\right)=0

so that the characteristic solution is

{x_2}_C=C_1e^{(3+\sqrt5)/2\,t}+C_2e^{-(3+\sqrt5)/2\,t}

Now let's suppose the particular solution is {x_2}_p=ae^t. Then

{x_2}_p={{x_2}_p}'={{x_2}_p}''=ae^t

and so

ae^t-3ae^t+ae^t=-ae^t=e^t\implies a=-1

Thus the general solution for x_2 is

x_2=C_1e^{(3+\sqrt5)/2\,t}+C_2e^{-(3+\sqrt5)/2\,t}-e^t

and you can find the solution x_1 by simply differentiating x_2.
7 0
3 years ago
What is the ratio of 6:2
s2008m [1.1K]
The ratio of 6:2= 3:1
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The odds against the U.S women's soccer team winning the World Cup are 7 to 5, what is the probability that they will win the Wo
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I am guessing 7/5= 1.4 = 140 percent
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3 years ago
Read 2 more answers
What is the completely factored form of this polynomial?<br> A + 12x2 + 32
mina [271]
What is the completely factored form of this polynomial?
A + 12x2 + 32

A+24+32
A+56
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2 years ago
Can someone help and show there answer to what this is? Who ever does better I’ll give them a brainly thing pls figure this out
Sloan [31]

Answer: Number 1 is 1/8

Number 2 is 11/5.

Number 3 is 1/15.

Number 4 is 1/16.

Step-by-step explanation: To get better at this use multiplication and division.

8 0
3 years ago
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