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integral of cos^3(x)sin^8(x)

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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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vértices x²+2x−1−(2x²−3x+6)

Solution

Máximo (52 , −34 )

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Solve by:

Encontrar o vértice usando a forma polinomial

Encontrar o vértice usando a forma da parábola

Encontrar o vértice usando a forma do vértice

Encontre o vértice usando o ponto médio das raízes

One step at a time

y=x²+2x−1−(2x²−3x+6)

Equação de parábola na forma polinomial

O vértice de uma parábola com concavidade para cima ou para baixo na forma y=ax²+bx+c é x_v=−b2a

Reescreva y=x²+2x−1−(2x²−3x+6) na forma y=ax²+bx+c

y=−x²+5x−7

Os parâmetros da parábola são:

a=−1, b=5, c=−7

x_v=−b2a

x_v=−52(−1)

Simplificar

x_v=52

Insira x_v=52 para encontrar o valor y_v

y_v=−34

Portanto, o vértice da parábola é

(52 , −34 )

Se a<0, então o vértice é um valor máximo
Si a>0, então o vértice é um valor mínimo
a=−1

Máximo (52 , −34 )

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

integral of cos^3(x)sin^8(x)

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integral of cos^3(x)sin^8(x)

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