All categories

3 years ago

Simplify [2 (cos 210 + i sin 210)]^3

Mathematics

1 answer:

Dennis_Churaev [7]3 years ago

3 0

After simplifying the real and imaginary parts you'd get -8i

You might be interested in

∫<img src="https://tex.z-dn.net/?f=%5Cfrac%7Bxdx%7D%7B%28x%5E%7B2%7D%2B4%29%5E%7B3%7D%20%7D" id="TexFormula1" title="\frac{xdx}{

photoshop1234 [79]

Substitute $u=x^2+4$ and $du=2x\,dx$ . Then the integral transforms to

$\displaystyle \int \frac{x\,dx}{(x^2+4)^3} = \frac12 \int \frac{du}{u^3}$

Apply the power rule.

$\displaystyle \int \frac{du}{u^3} = -\dfrac1{2u^2} + C$

Now put the result back in terms of $x$ .

$\displaystyle \int \frac{x\,dx}{(x^2+4)^3} = \frac12 \left(-\dfrac1{2u^2} + C\right) = -\dfrac1{4u^2} + C = \boxed{-\dfrac1{4(x^2+4)^2} + C}$

3 0

2 years ago

Mario invested $5100 at 13%

cestrela7 [59]

Answer:

Amount = $6614 and 19 cent

Step-by-step explanation:

Formula for compound interest is

A= p(1+r/n)^(nt)

Compounded daily

So n= 365*2= 730

T= 2

r= 0.13

P= 5100

A= p(1+r/n)^(nt)

A= 5100(1+0.13/730)^(730*2)

A= 5100(1+1.78082*10^-4)^(1460)

A= 5100(1.000178082)^1460

A= 5100(1.2969)

A= 6614.19

Amount = $6614 and 19 cent

6 0

3 years ago

The sum of 3 fifthteens and 4 twos

katovenus [111]

Answer:

15+15+15+2+2+2+2=(3×15)+(4×2)=45+8=53

8 0

3 years ago

Read 2 more answers

-5(2 × -6) inverse operation

Gekata [30.6K]

Answer:

Step-by-step explanation:

-5(2×-6)

-5(-12)

It should be correct

5 0

2 years ago

Latoya earns $25.05 for 3 hours of tutoring. How much money does latoya earn each hour?

charle [14.2K]

Answer:

$8.35 per hour

Step-by-step explanation:

Take the dollars and divide by the hours to determine the dollars per hour

25.05/3

$8.35 per hour

6 0

3 years ago