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Marianna [84]
3 years ago
5

Solve the system: x' = (2 4 -1 6)x

Mathematics
1 answer:
sertanlavr [38]3 years ago
6 0

Answer:

x=e^{8t}+c

Step-by-step explanation:

we have given x'=(24-16)x=8x

x' denotes the differenation

\frac{dx}{dt}=8x  differentiation is performed with respect to t

by variable separable method we can write  

\frac{dx}{x}=8dt

on integrating both side

lnx=8t+c

x=e^{8t}+c (property of log )

so the solution for x will be x=e^{8t}+c

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Answer: 37.5%


Explanation:


Percentage is defined as parts of an amount  in 100 parts of a basis. This must be stated mathamatically for better understanding and for calculations. It is the ratio:

             % = (parts / base) × 100.


In this case you need to express the amount of butter as a part in 100 parts of all purpose flour, which, using the above definition, is:


        % butter = (0.75 pounds of butter / 2 pound of flour) × 100

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The answer is expressed as 37.5%.

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