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erica [24]
3 years ago
5

Find X. A. 27.2B. 12.9C. 30.3D. 17.8​

Mathematics
1 answer:
pashok25 [27]3 years ago
4 0

Answer:

bzhshsjsjajjauajajaja

Step-by-step explanation:

jsjsjsjwiiwuahwbwhwjisushshsjjsis

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Consider the system of differential equations dx/dt=−2y dy/dt=−2x. . Convert this system to a second order differential equation
Musya8 [376]

Answer:

Step-by-step explanation:

we have the following differential equations

\frac{dx}{dt}=-2y\\\frac{dy}{dt}=-2x\\

by differentiating the second equation we have

\frac{d}{dt}(\frac{dy}{dt})=-2\frac{dx}{dt}\\\frac{d^{2}y}{dt^{2}}=-2\frac{dx}{dt}\\\frac{dx}{dt}=\frac{-1}{2}\frac{d^{2}y}{dt^{2}}

and we replace dx/dt in the first equation

\frac{-1}{2}\frac{d^{2}y}{dt^{2}}=-2y\\\frac{d^{2}y}{dt^{2}}-4y=0

and by using the characteristic polynomial

m^{2}+4=0\\m=\±2i

the solution is

y(t)=Acos(2t)+Bsin(2t)

and to compute x(t) we have

\frac{dx}{dt}=-2Acos(2t)-2Bsin(2t)\\\\\int dx = \int[-2Acos(2t)-2Bsin(2t)]dt\\\\x(t)=-Asin(2t)+Bcos(2t)

and if we use x(0)=4 and y(0)=3, we can calculate the constants A and B

x(0)=B=4\\y(0)=A=3

I hope this is useful for you

regards

4 0
3 years ago
Read 2 more answers
Are the diagonals of a parallelogram perpendicular? Why or why not? Explain.
AlexFokin [52]

No. A parallelogram has 2 sets of parallel lines, each the same length. This doesn't mean that the angles are perpendicular.

6 0
3 years ago
Five times a number is the same as 30 more than 8 times the number.find the number
Goshia [24]

Answer:

hey here's your answer!☺️

since number = n

so, 5 times of number = 5×n = 5n

and , 30 more than 8 times the number = 8n + 30

so, According to the question,

equation formed :-

" 5n = 8n + 30 "

hope it is helpful ✌️!

6 0
3 years ago
Help me quickly pls
IrinaK [193]
B is answer as quotient is dividend/ divisor and its 5 times is 5*r/t
5 0
4 years ago
Read 2 more answers
PLEASE HELP
Ilia_Sergeevich [38]

Answer:

you're correct! the answer is c

Step-by-step explanation:

the factors would be (x+2)(x-3) and when you solve that you get c

5 0
3 years ago
Read 2 more answers
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