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2 years ago

What number should

Mathematics

1 answer:

eduard2 years ago

6 0

I believe it is 4 to make it able to divide by both sides

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Integrate dx/sin3xtan3x

disa [49]

$\displaystyle\int\frac{\mathrm dx}{\sin3x\tan3x}=\int\frac{\cos3x}{\sin^23x}$

Set $u=\sin3x$ , so that $\mathrm du=3\cos3x\,\mathrm dx$ . Then the integral is

$\displaystyle\frac13\int\frac{\mathrm du}{u^2}=-\frac1{3u}+C=-\frac1{3\sin3x}+C=-\frac13\csc3x+C$

Or, if you meant exponents in place of coefficients,

$\displaystyle\int\frac{\mathrm dx}{\sin^3x\tan^3x}=\int\csc^3x\cot^3x\,\mathrm dx=\int\csc^2x\cot^2x\csc x\cot x\,\mathrm dx$

Let $u=\csc x$ , so that $\mathrm du=-\csc x\cot x\,\mathrm dx$ , and use the fact that $\csc^2x=\cot^2x+1$ to get

$\displaystyle-\int u^2(u^2-1)\,\mathrm du=\int (u^2-u^4)\,\mathrm du=\frac13u^3-\frac15u^5+C$
$=\dfrac13\csc^3x-\dfrac15\csc^5x+C$

8 0

2 years ago

2.)---------------------------------------------------------------------------

zhenek [66]

The total price for the gallons of paint will be 35.75p

The total price for the rollers will be 6r

So the equation if the customer have 190 will be

price for gallons of paint + price for rollers = 190

35.75p + 6r = 190

(This is the equation)

7 0

2 years ago

MATH PLEASE HELP ASAP

Bezzdna [24]

Answer:

1. X=7

2. x=2

Step-by-step explanation:

4 0

2 years ago

Question is below<br> ‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎‏‏‎ ‎

attashe74 [19]

Answer:

45=9⋅5 , so 2√45 is the same as 2⋅√9⋅5 . The √9=3 , so a 3 can be removed. leaving 2⋅3√5 , or 6√5

6 0

2 years ago

I need help with this question. I didn't choose answer D, but I accidentally did. If you could help me, that would be great.

Alex

Answer:

The correct answer would be B

Step-by-step explanation:

Plz Mark Brainlist

7 0

2 years ago