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3 years ago

What does perk up and pipe down mean?

English

1 answer:

aliya0001 [1]3 years ago

8 0

Answer:

Pipe down- to become quiet; to cease making noise; to shut up. Perk up- to become or to make somebody become more cheerful or lively, especially after they have been ill or sad synonym brighten.

Explanation:

She told her children to pipe down when the movie started.

He soon perked up when his friends arrived.

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I will make you brainlist if you help me the 2 question by explain them i swear i will make you brainlist

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★ Formula Applied :

$\begin{gathered}\sf \bullet\ \; cos^2x-sin^2x=cos2x\\\\\to\ \sf \pink{sin^2x-cos^2x=-cos2x}\end{gathered}$

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$\displaystyle \bullet\ \; \sf \int \dfrac{dx}{x}$

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★ Explanation :

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Lets use substitution method ,

Let , u = sin2x

⇒ du = 2.cos2x.dx

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$\to \sf \red{-ln|sin2x|+c}$

$\to \sf - \ln |2sinx.cosx|+c$

$\to \sf - \ln |sinx.cosx|+(\ln 2+c)$

$\leadsto - \sf \red{\ln |sinx.cosx|+c}\ \; \bigstar$

★ Alternate Method :

$\displaystyle \sf \int \dfrac{sin^2x-cos^2x}{sinx.cosx}$

$\displaystyle \to \sf \int \left( \dfrac{sin^2x}{sinx.cosx}-\dfrac{cos^2x}{sinx.cosx}\right)dx$

$\begin{gathered}\displaystyle \to \sf \int \left( \dfrac{sinx}{cosx} -\dfrac{cosx}{sinx} \right)dx\\\\\to\ \sf \int (tanx-cotx)dx\\\\\to \sf \int tanx.dx-\int cotx.dx\\\\\to \sf ln|secx|-ln|sinx|+c\end{gathered}$

$\to \sf ln\left| \dfrac{secx}{sinx}\right|+c$

$\begin{gathered}\to \sf ln\left| \dfrac{1}{sinx.cosx} \right|+c\\\\\end{gathered}$ ]

$\leadsto \sf \pink{-ln|sinx.cosx|+c}\ \; \bigstar$

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