3 years ago

Find the exact value of x

Mathematics

1 answer:

olga2289 [7]3 years ago

7 0

Answer:

Step-by-step explanation:

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Integrate sin²2x cos²2xdx

Masteriza [31]

$\sin^2x=\dfrac{1-\cos2x}2$
$\cos^2x=\dfrac{1+\cos2x}2$

From the identities above, you have

$\sin^22x\cos^22x=\dfrac{(1-\cos4x)(1+\cos4x)}4=\dfrac{1-\cos^24x}4$

Applying once more, you have

$\dfrac{1-\cos^24x}4=\dfrac{1-\dfrac{1+\cos8x}2}4=\dfrac{1-\cos8x}8$

So,

$\displaystyle\int\sin^22x\cos^22x\,\mathrm dx=\frac18\int(1-\cos8x)\,\mathrm dx=\frac x8-\frac1{64}\sin8x+C$

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Jordan needs 6 3/10 gallons of milk to make 4 1/2 gallons of ice cream. How much gallons of milk will Jordan need to make one ga

ss7ja [257]

Answer:

45/63

Step-by-step explanation:

6 3/10=63/10, 4 1/2=45/10,

(45/10)/(63/10)=45/63

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nadya68 [22]

$2.40 for binding

10 cents ($0.10) per page

cost=binding+pagescost

binding=2.40

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3 years ago