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Irina18 [472]
2 years ago
5

2(10) + 2(x – 4) please simplify the expression

Mathematics
1 answer:
kolezko [41]2 years ago
4 0

Answer:

3

Step-by-step explanation:

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3 years ago
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Hello, Can I get some help with #30 a and b, please? Don't forget to show your work.
Murljashka [212]

Answer:

a. dy/dx = -2/3

b. dy/dx = -28

Step-by-step explanation:

One way to do this is to assume that x and y are functions of something else, say "t", then differentiate with respect to that. If we write dx/dt = x' and dy/dt = y', then the required derivative is y'/x' = dy/dx.

a. x'·y^3 +x·(3y^2·y') = 0

y'/x' = -y^3/(3xy^2) = -y/(3x)

For the given point, this is ...

dy/dx = -2/3

___

b. 2x·x' +x^2·y' -2x'·y^3 -2x·(3y^2·y') + 0 = 2x' + 2y'

y'(x^2 -6xy^2 -2) = x'(2 -2x +2y^3)

y'/x' = 2(1 -x +y^3)/(x^2 +6xy^2 -2)

For the given point, this is ...

dy/dx = 2(1 -0 +27)/(0 +0 -2)

dy/dx = -28

_____

The attached graphs show these to be plausible values for the derivatives at the given points.

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2 years ago
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