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Svet_ta [14]
2 years ago
15

For the complex number z = Negative StartFraction StartRoot 21 EndRoot Over 2 EndFraction minus StartFraction StartRoot 7 EndRoo

t Over 2 EndFraction i, what is arg(z)? 150° 210° 240° 330°
Mathematics
2 answers:
Rus_ich [418]2 years ago
7 0

Answer:

210

Step-by-step explanation:

gogolik [260]2 years ago
3 0

Answer:

210

Step-by-step explanation:

EDGE 2020

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A particle moves on the hyperbola xy=18 for time t≥0 seconds. At a certain instant, y=6 and dydt=8. What is x that this instant?
professor190 [17]

Answer:

The value of x at this instant is 3.

Step-by-step explanation:

Let x\cdot y = 18, we get an additional equation by implicit differentiation:

x\cdot \frac{dy}{dt}+y\cdot \frac{dx}{dt} = 0 (1)

From the first equation we find that:

x = \frac{18}{y} (2)

By applying (2) in (1), we get the resulting expression:

\frac{18}{y}\cdot \frac{dy}{dt}+y\cdot \frac{dx}{dt} = 0 (3)

y\cdot \frac{dx}{dt}=-\frac{18}{y}\cdot \frac{dy}{dt}

\frac{dx}{dt} = -\frac{18}{y^{2}} \cdot \frac{dy}{dt}

If we know that y = 6 and \frac{dy}{dt} = 8, then the first derivative of x in time is:

\frac{dx}{dt} = -\frac{18}{6^{2}} \cdot (8)

\frac{dx}{dt} = -4

From (1) we determine the value of x at this instant:

x\cdot \frac{dy}{dt} = -y\cdot \frac{dx}{dt}

x = -y\cdot \left(\frac{\frac{dx}{dt} }{\frac{dy}{dt} } \right)

x = -6\cdot \left(\frac{-4}{8} \right)

x = 3

The value of x at this instant is 3.

4 0
2 years ago
What is the end behavior of the function f(x)=−1/4x^2?
ki77a [65]

Answer:

As x approaches infinity, f(x) approaches negative infinity

As x approaches negative infinity, f(x) approaches negative infinity

Step-by-step explanation:

Because the function goes in the downward direction on both sides, it would be negative infinity for both.

It's basically saying, as the x values go towards the positives, the y values go towards the negatives

and as the x values go towards the negatives, the y values go towards the negatives.

3 0
1 year ago
-32=2(x2 + 10x)<br> what are the steps to solve this
Marysya12 [62]

Answer:

idk reeeeeeeeee

Step-by-step explanation:

idkreeeeeeeeee

4 0
3 years ago
Read 2 more answers
Can someone please help me
Aneli [31]

Answer:

r = 5

Step-by-step explanation:

To solve for r, plug in the change in x values and change in y values, since the hypotenuse is simply the diagonal of both the y-coordinate and x-coordinates shown via drawing legs on the vertical and horizontal axis. So, since (0,0) is the initial point, r = sqr[(-4-0)^2 + (-3-0)^2 = sqr(16 + 9) = 5.

Now, the angle theta is the angle in which the sine, cosine, and tangent ratios are found. Simply use opposite over hypotenuse for sine, adjacent over hypotenuse for cosine, and opposite over adjacent for tangent using theta as the angle in which these values are obtained.

5 0
2 years ago
If you know the density and volume of a substance, how could you find its mass?
stealth61 [152]
Since D=MV, we can infer that M=D/V
That is your equation----------------^
4 0
2 years ago
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