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liberstina [14]
3 years ago
7

Consider the complex number z = 27i. What are the characteristics of the cube roots of z?

Mathematics
2 answers:
Artist 52 [7]3 years ago
6 0

Answer:

The answers are 3 and 2pi

Step-by-step explanation:

In-s [12.5K]3 years ago
5 0

Answer:

3 and 2

Step-by-step explanation:

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Y equals the quotient of the quantity x squared plus 4 times x and the quantity x cubed minus 5.
koban [17]

Given:

Consider the completer question is "Find the derivative \dfrac{dy}{dx} for y=\dfrac{x^2-4x}{x^3-5}."

To find:

The derivative \dfrac{dy}{dx}.

Solution:

Chain rule: \dfrac{d}{dx}f(g(x))=f'(g(x))\cdot g'(x)

Quotient rule: \dfrac{d}{dx}\dfrac{f(x)}{g(x)}=\dfrac{g(x)f'(x)-f(x)g'(x)}{[g(x)]^2}

We have,

y=\dfrac{x^2-4x}{x^3-5}

Differentiate with respect to x.

\dfrac{dy}{dx}=\dfrac{d}{dx}\left(\dfrac{x^2-4x}{x^3-5}\right)

Using chain rule and quotient rule, we get

\dfrac{dy}{dx}=\dfrac{(x^3-5)\dfrac{d}{dx}(x^2-4x)-(x^2-4x)\dfrac{d}{dx}(x^3-5)}{(x^3-5)^2}

\dfrac{dy}{dx}=\dfrac{(x^3-5)(2x-4)-(x^2-4x)(3x^2)}{(x^3-5)^2}

\dfrac{dy}{dx}=\dfrac{2x^4-4x^3-10x+20-3x^4+12x^3}{(x^3-5)^2}

\dfrac{dy}{dx}=\dfrac{-x^4+8x^3-10x+20}{(x^3-5)^2}

Therefore, the required answer is \dfrac{dy}{dx}=\dfrac{-x^4+8x^3-10x+20}{(x^3-5)^2}.

4 0
3 years ago
How do we show that two lines are parallel when using slope? How do we show they are perpendicular when using slope?
Amanda [17]

Answer:

QUESTION:

How do we show that two lines are parallel when using slope? How do we show they are perpendicular when using slope?

ANSWER:

<u><em>How to determine if a line is a parallel perpendicular or neither?</em></u>

The slopes of parallel lines are equal, and the slopes of perpendicular lines are opposite reciprocals. This is a worked example of determining whether given lines are parallel or perpendicular.

Step-by-step explanation:

Hope that this helps you out! :)          

If you have any questions please put them in the comment section below this answer.          

Have a great rest of your day/night!          

Please thank me on my profile if this answer has helped you.

3 0
3 years ago
Help me please i need step by step explanation to please
boyakko [2]

Answer:

-80x + 24 (A)

Step-by-step explanation:

To solve this, we need to break the brackets. This is done by multiplying -8 to 10x and -3 to give us our final answer of -80x + 24.

So, the answer is A.

7 0
2 years ago
You might need: What is the next term of the geometric sequence? -1/7, 4/7, -16/7<br>​
Kryger [21]
A4= 64/7 a5=-256/7 a6=1024/7
5 0
3 years ago
Read 2 more answers
List the area of each shape on the lines below. Then list the shapes in order from greatest to least.
melisa1 [442]

Answer:4

Step-by-step explanation:

3 0
3 years ago
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