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dimulka [17.4K]

3 years ago

13

Please answer! Thank you! :)

1 answer:

Aleonysh [2.5K]3 years ago

5 0

Answer:

i think is n = 4. Sorry if wrong.

Step-by-step explanation:

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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

Help me plz I need help.

Sever21 [200]

Answer:

C

Step-by-step explanation:

The sum of the lengths of any two sides of a triangle is greater than the length of the third side.

4 0

3 years ago

Line segment AB has endpoints A (-4, 4) and B (2, 4). What is the length of line segment AB?

sineoko [7]

Step-by-step explanation:

the distance is sqrt ( (-6)^2 + (-12)^2) = sqrt( 36 + 144) = sqrt( 180) = sqrt(36*5) = 6 * sqrt(5)

2/(2+4) = 2/6 = 1/3

-2 + (1/3)*6*sqrt(5) = -2 + 2* sqrt(5)

6 + (1/3)*6*sqrt(5) = 6 + 2* sqrt(5)

8 0

2 years ago

Select all of the scales that are equivalent to 3 cm to 4 km.

ra1l [238]

In mathematics, a scale can be described in charts as a marking system at predefined times, which determines the relationship between the units that are being used and their images on the graph, and the further calculation can be defined as follows:

Since in this question, the ratio is between 3 cm to 4 km you can make a $\bold{\frac{3}{4}=\frac{cm}{km}}$ split, and if you are split between 3 and 4, you get the ratio between $\bold{\frac{\frac{3}{4 \ cm}}{1\ km} = \frac{3\ cm}{ 4\ km}}$ .

$\bold{\to \frac{3 }{ 4}= 0.75}$

Therefore the final answer is "0.75 cm to 1 km"

Learn more:

brainly.com/question/15285394

6 0

1 year ago

What is the solution (a, c) to this system of linear equations?

weeeeeb [17]

This is how you do it :) let me know if you have any questions. Hope this helps :)

4 0

3 years ago

Read 2 more answers