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trasformata di laplace sin(2x+5)

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

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ddx

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

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codominio 2sec(x)

Solution

f(x)≤ −2 or f(x)≥ 2

Interval Notation

(−∞ , −2]∪ [2, ∞ )

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Solution steps

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L⁻¹{x+42x+6 }

Prendi la frazione parziale di x+42x+6 : 12 +12x+6

=L⁻¹{12 +12x+6 }

Usa la proprietà di linearità dell'Inversa Trasformata di Laplace:
Per le funzioni f(s), g(s) e le costanti a, b: L⁻¹{a·f(s)+b·g(s)}=a·L⁻¹{f(s)}+b·L⁻¹{g(s)}

=L⁻¹{12 }+L⁻¹{12x+6 }

L⁻¹{12 }: 12 δ(t)

L⁻¹{12x+6 }: 12 e^−3t

=12 δ(t)+12 e^−3t

Solve instead

dominio 2sec(x)

periodicità 2sec(x)

ampiezza 2sec(x)

Order of operations three/four steps without parentheses Examples

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

trasformata di laplace sin(2x+5)

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