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sequence type a_{n}=(3^{n+2})/(5^n)

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

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

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intervalo 6x⁵+33x⁴−30x³+100

Solution

−∞ <f(x)<∞

Interval Notation

(−∞ , ∞ )

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Solution steps

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Diretriz de uma parábola

Uma parábola é o espaço de pontos tal que a distância a um ponto (o foco) equivale à distancia a uma reta (a diretriz)

Equação geral da parábola

4p(y−k)=(x−h)² é a equação geral da parábola de eixo vertical, com vértice em (h, k),
e distância focal |p|

Reescrever y=−3x²+5x com a forma da equação geral da parábola

4(−112 )(y−2512 )=(x−56 )²

(h, k)=(56 , 2512 ), p=−112

A parábola é simétrica ao redor do eixo y (ordenadas) e, portanto, a diretriz é uma reta paralela ao eixo x (abscissas), uma distância −p do centro (56 , 2512 ) no eixo y (ordenadas)

y=2512 −p

y=2512 −(−112 )

Simplificar

y=136

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domínio 6x⁵+33x⁴−30x³+100

interceptos 6x⁵+33x⁴−30x³+100

paridade 6x⁵+33x⁴−30x³+100

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

sequence type a_{n}=(3^{n+2})/(5^n)

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