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Nikolay [14]
3 years ago
9

Find dy/dx (derivative) using Implicit Differentiation: xe^y=x-y

Mathematics
1 answer:
miss Akunina [59]3 years ago
6 0
D (xe^y)/dx = d(x - y)dx
(e^y)dx/dx + xd(e^y)/dx = 1 - y'
e^y + xy'e^y = 1 - y'
(1 + xe^y)y' = 1 - e^y
y' = (1 - e^y)/(1 + xe^y)
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I WILL GIVE 100 POINTS FOR THIS PLS ANSWER ASAP
kotykmax [81]

Answer:

4(4y+5k)

Step-by-step explanation:

if you do 4 x 4y thats 16y and 4 x 5k is 20k \

pls give brainliest

3 0
3 years ago
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Romashka [77]
So he knows there are definitely 66 trouts as he caught and tagged them.
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3 years ago
F (2) = <br> (please give an explanation i'm confused)
juin [17]

Answer:

I think it would be like f x2 so you would reorder the term and get 2f

Step-by-step explanation:

4 0
3 years ago
Find the constant of proportionality for the table of values.
Anna [14]

The constant of proportionality k is 3.5

Step-by-step explanation:

Proportionality describes any relationship that is always in the same

ratio

If two quantities x and y are in proportionality, then

1. y ∝ x

2. y = k x , where k is the constant of proportionality

∵ x ⇒    6    ,    7      ,    8    ,    9

∵ y ⇒    21   ,   24.5 ,    28  ,    31.5  

∵ y ∝ x

∴ y = k x

- Use x = 6 and y = 21 to find the value of k

∵ x = 6 and y = 21

∴ 21 = k (6)

- Divide both sides by 6

∴ k = 3.5

- Use x = 7 and y = 24.5 to find the value of k

∵ x = 7 and y = 24.5

∴ 24.5 = k (7)

- Divide both sides by 7

∴ k = 3.5

- Use x = 8 and y = 28 to find the value of k

∵ x = 8 and y = 28

∴ 28 = k (8)

- Divide both sides by 8

∴ k = 3.5

- Use x = 9 and y = 31.5 to find the value of k

∵ x = 9 and y = 31.5

∴ 31.5 = k (9)

- Divide both sides by 9

∴ k = 3.5

The constant of proportionality k is 3.5

Learn more:

You can learn more about proportionality in brainly.com/question/10708697

#LearnwithBrainly

4 0
3 years ago
Find the length of side x in the simplest radical form with a rational denominator.
lisov135 [29]

Answer:

sq root of 6 divided by 2

Step-by-step explanation:

use pythagorean theorem: square of each leg equals the square of the hypotenuse

x squared plus x squared = radical three squared

2x² = 3

x² =  \frac{3}{2}

x = square root of 3/2

rationalize the denominator to get sq root of 6 divided by 2

6 0
3 years ago
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