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3 years ago

Find the difference 51/4 - 2 3/4

1 answer:

4 0

Difference means to minus

5 1/4 - 2 3/4 =

[since 1/4 cannot minus 3/4, we need to convert one of the 5 wholes into quarters: 5 1/4 = 4 5/4 ]

5 1/4 - 2 3/4
= 4 5/4 - 2 3/4
= 2 2/4
= 2 1/2

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3 years ago

David has a piece of wood that is 7.28 meters long. He needs 4 pieces of wood that are each 1.75 meters long. If he cuts the woo

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Step-by-step explanation:

You can go at this a couple of ways:

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2 years ago

This is a question on my partial fractions homework, but no matter what I try I can't figure it out..

Ierofanga [76]

$\dfrac{x^2+x+1}{(x+1)^2(x+2)}=\dfrac{a_1x+a_0}{(x+1)^2}+\dfrac b{x+2}$
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$\implies x^2+x+1=(a_1+b)x^2+(2a_1+a_0+2b)x+(2a_0+b)$
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So you have

$\displaystyle\int_0^2\frac{x^2+x+1}{(x+1)^2(x+2)}\,\mathrm dx=-2\int_0^2\frac x{(x+1)^2}\,\mathrm dx-\int_0^2\frac{\mathrm dx}{(x+1)^2}+3\int_0^2\frac{\mathrm dx}{x+2}$
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where in the first integral we substitute $x\mapsto x+1$ .

$=\displaystyle-2\int_1^3\left(\frac1x-\frac1{x^2}\right)\,\mathrm dx-\frac1{1+x}\bigg|_{x=0}^{x=2}+3\ln|x+2|\bigg|_{x=0}^{x=2}$
$=-2\left(\ln|x|+\dfrac1x\right)\bigg|_{x=1}^{x=3}-\dfrac23+3(\ln4-\ln2)$
$=-2\left(\ln3+\dfrac13-1\right)-\dfrac23+3\ln2$
$=\dfrac23+\ln\dfrac89$

4 0

3 years ago

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saveliy_v [14]

Answer:

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Step-by-step explanation:

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2 years ago