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2 years ago

X^{4} - 5x^(2) + 2x + 3 < 0

Mathematics

1 answer:

vlada-n [284]2 years ago

7 0

the Answer is irrational number

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What’s the fraction of 65% in its simplest form

patriot [66]

Answer:

13/20

Step-by-step explanation:

65%=65/100

65/100=13/20

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3 years ago

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Joan has a square flower bed with a side length of 5 meters filled with tulips. there are a total of 375 tulips in the bed. find

erma4kov [3.2K]

Answer:

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Step-by-step explanation:

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2 years ago

Find the area of the figure.

jasenka [17]

Divide into shapes that you can find the area of.....

you also have to cross out the 5 and the 4s because you will not need them

2×2= 4 sq. cm
2×2= 4 sq. cm
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3 years ago

Can someone help me with my latest question

Artyom0805 [142]

Answer:

yea

Step-by-step explanation:

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2 years ago

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How would I find the integral of <img src="https://tex.z-dn.net/?f=%5Cint%5Cfrac%7Btdt%7D%7Bt%5E4%2B2%7D" id="TexFormula1" title

kotegsom [21]

Let $t=\sqrt y$ , so that $t^2=y$ , $t^4=y^2$ , and $\mathrm dt=\dfrac{\mathrm dy}{2\sqrt y}$ . Then

$\displaystyle\int\frac t{t^4+2}\,\mathrm dt=\int\frac{\sqrt y}{2\sqrt y(y^2+2)}\,\mathrm dy=\frac12\int\frac{\mathrm dy}{y^2+2}$

Now let $y=\sqrt2\tan z$ , so that $\mathrm dy=\sqrt2\sec^2z\,\mathrm dz$ . Then

$\displaystyle\frac12\int\frac{\mathrm dy}{y^2+2}=\frac12\int\frac{\sqrt2\sec^2z}{(\sqrt2\tan z)+2}\,\mathrm dz=\frac{\sqrt2}4\int\frac{\sec^2z}{\tan^2z+1}\,\mathrm dz=\frac1{2\sqrt2}\int\mathrm dz=\dfrac1{2\sqrt2}z+C$

Transform back to $y$ to get

$\dfrac1{2\sqrt2}\arctan\left(\dfrac y{\sqrt2}\right)+C$

and again to get back a result in terms of $t$ .

$\dfrac1{2\sqrt2}\arctan\left(\dfrac{t^2}{\sqrt2}\right)+C$

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3 years ago