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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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Change the width 20/16 inches to a mixed numeral in simplest form.
Iteru [2.4K]

Answer:1 and 1/4


Step-by-step explanation:

Okay, let's see the given: 20/16

So, we can take out 16 from the top to make it 1  4/16

Now, we can simplify that by dividing the top and bottom by 2: 1  2/8

We can simplify that again to get 1 1/4

So the answer is 1 and 1/4

5 0
3 years ago
Which number is the same distance from 0 on a number line as 3/2 answers -3 -3/2 -2/3 2/3 3
yaroslaw [1]

Answer: -3/2

Step-by-step explanation:

To find its distance away from 0, then just find its opposite.

On the number line if you graph 3/2,  its opposite will be -3/2

4 0
3 years ago
Find the equation of the line with slope = -2 and passing through (3,2). Write your equation in the form
horrorfan [7]

Answer:

Step-by-step explanation:

y - 2 = -2(x - 3)

y - 2 = -2x + 6

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3 0
3 years ago
A rectangle has a side length of 2x and a diagonal of 8x. What is the missing lenght?
Leona [35]

Answer:

2x\sqrt{15}

Step-by-step explanation:

we can use the Pythagorean Theorem to find the missing side (a):

a² + (2x)² = (8x)²

a² + 4x² = 64x²

a² = 60x²

a = √60x²

a = \sqrt{4}·\sqrt{15} · \sqrt{x^2}

This can be simplified to be 2x\sqrt{15}

6 0
3 years ago
On a trip you had to change your money from dollars to brithish pounds you got 560 pounds for 800dollars
Scorpion4ik [409]

Answer:If we got 560 pounds for 800 dollars and x pounds for 1 dollar, this means that x = 560*1/800 <=> x = 56/80. Performing the calulation we get that x = 0.7 . So the right answer is the final one.



Step-by-step explanation:


3 0
3 years ago
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