3 years ago

Use the power-reducing formulas to rewrite each of the expressions in terms of the first power of the cosine. Sin^4cos^4

Mathematics

1 answer:

Katen [24]3 years ago

6 0

Answer:

1/128 * (3 - 4cos2x + cos4x)

Step-by-step explanation:

See attachment for steps

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Find the vertex of this parabola.<br><br><br><br> y = -2x2 + 4x + 12

STatiana [176]

For this case we have the following equation:
$y = -2x ^ 2 + 4x + 12
$
Deriving we have:
$y = -2x ^ 2 + 4x + 12

y '= -4x + 4$
We match zero:
$-4x + 4 = 0
$
We clear the value of x:
$4x = 4

x = 4/4

x = 1$
Then, we substitute the value of x in the equation of the parabola:
$y = -2 (1) ^ 2 + 4 (1) + 12

y = -2 + 4 + 12

y = 14$
Thus, the vertex of the parabola is the ordered pair:
$(x, y) = (1, 14)$
Answer:
The vertice is:
$(x, y) = (1, 14)$

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