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range of sqrt(x+3)

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`x`²	`x`^□	log_□	√☐	^□√☐	≤	≥	□□	·	÷	`x`^◦	π
(☐)^′	`ddx`	∂∂`x`	∫	∫_□^□	lim	∑	∞	`θ`	(`f` ◦ `g`)	`f`(`x`)

☐²

x^☐

√☐

^□√☐

□□

log_□

θ

∞

∫

ddx

≥	≤	·	÷	`x`^◦	(☐)	\|☐\|	(`f` ◦ `g`)	`f`(`x`)	ln	`e`^☐
(☐)^′	∂∂`x`	∫_□^□	lim	∑	sin	cos	tan	cot	csc	sec

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∫ 7x²−94x+3 dx

Solution

7x²8 −2116 x−8164 ln|4x+3|+C

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Solution steps

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(

1	2	3
4	5	6
7	2	9

)

Matrix eigenvectors

Let A be a square matrix, η a vector and λ a scalar that satisfy Aη=λη,
then η is an eigenvector of A and λ is the eigenvalue associated with it

To find the eigenvectors η, solve (A−λ I)η=0 for each eigenvalue λ

Find the eigenvalues for (

1	2	3
4	5	6
7	2	9

): λ≈ −1.03868…, λ≈ 2.57409…, λ≈ 13.46458…

Eigenvectors for λ=−1.03868…: (

−1.41871…

−0.05384…

)

Eigenvectors for λ=2.57409…: (

−0.39956…

−1.81447…

)

Eigenvectors for λ=13.46458…: (

0.38349…

0.89005…

)

The eigenvectors for (

1	2	3
4	5	6
7	2	9

)

−1.41871…

−0.05384…

), (

−0.39956…

−1.81447…

), (

0.38349…

0.89005…

)

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−▭▭	<	7	8	9	÷	`AC`
+▭▭	>	4	5	6	×	☐☐☐
×▭▭	(	1	2	3	−	`x`
▭ \|▭	)	.	0	=	+	`y`

range of sqrt(x+3)

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