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taurus [48]
3 years ago
7

Can someone please check to make sure I got this correct? I would appreciate if you showed your work so that I could compare wit

h my work. Thank you!

Mathematics
1 answer:
dmitriy555 [2]3 years ago
8 0

Answer:

-4

Step-by-step explanation:

[√2(cos(3π/4) + i sin(3π/4))]⁴

(√2)⁴ (cos(3π/4) + i sin(3π/4))⁴

4 (cos(3π/4) + i sin(3π/4))⁴

Using De Moivre's Theorem:

4 (cos(4 × 3π/4) + i sin(4 × 3π/4))

4 (cos(3π) + i sin(3π))

3π on the unit circle is the same as π:

4 (cos(π) + i sin(π))

4 (-1 + i (0))

-4

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Answer:

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Find the approximate values of real numbers up-to-three decimal places.
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Answer:

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Step-by-step explanation:

The usual rules of rounding apply. If the digit in the 4th decimal place is 5 or more, then 1 is added in the 3rd decimal place. The roots are found using your calculator. The first 4 digits of the repeating decimal are clearly visible already.

a) √51 ≈ 7.141428... ≈ 7.141

b) 0.1326_26 ≈ 0.133

c) ∛971 ≈ 9.90238... ≈ 9.902

_____

<em>Additional comment</em>

The repeating decimal is equivalent to the fraction 1313/9900.

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3 years ago
True or False?
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I think it is false
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