3 years ago

Hi need help PLEASE

Mathematics

1 answer:

Mariulka [41]3 years ago

5 0

The answer is B.

hope i helped

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Consider the system of differential equations dxdt=−4ydydt=−4x. Convert this system to a second order differential equation in y

koban [17]

$\dfrac{\mathrm dy}{\mathrm dt}=-4x\implies x=-\dfrac14\dfrac{\mathrm dy}{\mathrm dt}\implies\dfrac{\mathrm dx}{\mathrm dt}=-\dfrac14\dfrac{\mathrm d^2y}{\mathrm dt^2}$

Substituting this into the other ODE gives

$-\dfrac14\dfrac{\mathrm d^2y}{\mathrm dt^2}=-4y\implies y''-16y=0$

Since $x(t)=-\dfrac14y'(t)$ , it follows that $x(0)=-\dfrac14y'(0)=4\implies y'(0)=-16$ . The ODE in $y$ has characteristic equation

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From the initial conditions we get

$y(0)=5\implies 5=C_1+C_2$

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So we have

$\boxed{y(t)=\dfrac12e^{4t}+\dfrac92e^{-4t}}$

Take the derivative and multiply it by -1/4 to get the solution for $x(t)$ :

$-\dfrac14y'(t)=\boxed{x(t)=-\dfrac12e^{4t}+\dfrac92e^{-4t}}$

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Tylique ate 1/2 of a pizza. His friend Connor ate the same amount of a same-sized pizza. Connor’s pizza was cut into 10 slices.

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Answer:

Step-by-step explanation:

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Connor ate half of the slices, half of 10(Being the slices connors pizza was cut into) is 5

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Answer:

Step-by-step explanation:

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