3 years ago

Find the values of x and y in the diagram.

Mathematics

1 answer:

MrRissso [65]3 years ago

8 0

Answer:

wheres the diagram?

Step-by-step explanation:

need the diagram in order to answer the question

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zubka84 [21]

$a(t)=10\sin t+3\cos t$

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$v(t)=-10\cos t+3\sin t+C_1$

$s(t)=\displaystyle\int v(t)\,\mathrm dt$
$s(t)=\displaystyle\int(-10\cos t+3\sin t+C_1)\,\mathrm dt$
$s(t)=-10\sin t-3\cos t+C_1t+C_2$

With the boundary conditions $s(0)=0$ and $s(2\pi)=12$ , we have

$\begin{cases}0=-3+C_2&s(0)=0\\12=-3+2\pi C_1+C_2&s(2\pi)=12\end{cases}\implies C_1=\dfrac6\pi,C_2=3$

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$s(t)=-10\sin t-3\cos t+\dfrac{6t}\pi+3$

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Step-by-step explanation:

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blue line : y = 3

black horizontal line : y = 0

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Step-by-step explanation:

it is really simple.

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