range of 17x^3-3x^2+7x-2-5x^3+6x^2-3x+9

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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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Steps Examples

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laplace transform (1−x)e^x

Solution

s−2(s−1)²

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Solution steps

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L{e^x(−x+1)}

Apply transform rule: if L{f(t)}=F(s) then L{e^atf(t)}=F(s−a)

For (1−x)e^x: f(x)=(1−x), a=1

=L{(1−x)}(s−1)

L{(1−x)}: 1s −1s²

=1(s−1) −1(s−1)²

=1s−1 −1(s−1)²

Simplify 1s−1 −1(s−1)² : s−2(s−1)²

=s−2(s−1)²

Solve instead

inverse laplace (1−x)e^x

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Notebook

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

range of 17x^3-3x^2+7x-2-5x^3+6x^2-3x+9

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