3 years ago

Can someone help me on this question.

2 answers:

7 0

46! Because 5 times 3 is 15 and the two big rectangles are equal, that’s 15+15. (30) 5x1 is 5 and THERES two equal things like that so 5+5 (10). 3x1 is 3 and THERES also two equal things so add 3+3. (6) add 30+10+6 which makes 46! :)

Pie3 years ago

4 0

Answer:

Step-by-step explanation:

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Assuming you mean

$5\sin t\dfrac{\mathrm dy}{\mathrm dt}+5y\cos t=\cos t\sin^2t$

This ODE is linear in $y$ , and you can already contract the left hand side as the derivative of a product:

$\dfrac{\mathrm d}{\mathrm dt}\left[5y\sin t\right]=\cos t\sin^2t$

Integrating both sides with respect to $t$ yields

$5y\sin t=\displaystyle\int\cos t\sin^2t\,\mathrm dt$
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$y=\dfrac1{15}\sin^2t+C\csc t$

Given that $y\left(\dfrac\pi2\right)=9$ , we have

$9=\dfrac1{15}\sin^2\dfrac\pi2+C\csc\dfrac\pi2$
$9=\dfrac1{15}+C$
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so that the particular solution over the interval is

$y=\dfrac1{15}\sin^2t+\dfrac{134}{15}\csc t$

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3 years ago