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Tanzania [10]
4 years ago
11

Find dy/dx by implicit differentiation. 8 cos x sin y = 6

Mathematics
1 answer:
Igoryamba4 years ago
5 0
8sin(x)cos(y) = 6
Take derivative with respect to x. Since y is a function of x, take the derivative for y as well but it is multiplied by dy/dx

chain rule
8cos(x)cos(y) - 8sin(x)sin(y)(dy/dx) = 0

solve for dy/dx

8cos(x)cos(y) = 8sin(x)sin(y)(dy/dx)

[8cos(x)cos(y)]/[8sin(x)sin(y)] = dy/dx
simplify
cot(x)cot(y) = dy/dx


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Answer:

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It is given that :

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3 years ago
I would like to know 15 is what % of 39
KATRIN_1 [288]
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Writing across the words
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7 0
4 years ago
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3 0
3 years ago
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21 is 84 percent of what number
marysya [2.9K]
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5 0
4 years ago
£70 is divided between Natasha, Richard & Stephen so that Natasha gets twice as much as Richard, and Richard gets three time
Mekhanik [1.2K]

Answer:

  £42

Step-by-step explanation:

The ratio of Richard's amount to Stephen's amount is ...

  R : S = 3 : 1

The ratio of Natasha's amount to Richard's amount is ...

  N : R = 2 : 1 = 6 : 3

Then the ratio of all three amounts is ...

  N : R : S = 6 : 3 : 1

The proportion of the total that Natasha gets is ...

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so she gets ...

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Natasha gets £42.

5 0
3 years ago
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