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Alona [7]
3 years ago
8

Which graph represents a function? Please help me

Mathematics
1 answer:
BARSIC [14]3 years ago
5 0
Think the 3 graph would be a function the graph the the arrow going straight up.
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What is the 12th term of the sequence: 48,44,40,36...
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Answer:

12

Step-by-step explanation:

The sequence starts at 48, and goes down 4 with each term. That means that we just need to subtract 4 from 48 12 times.

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3 years ago
Solve the differential equation. y' + 5xey = 0.
galben [10]

Answer:

The solution is     y = - ln(\frac{5}{2}x^{2} + C)

Step-by-step explanation:

To solve the differential equation, we will find y

From the given equation, y' + 5xey = 0.

That is, y' + 5xe^{y} = 0

This can be written as

\frac{dy}{dx} + 5xe^{y} = 0

Then,

\frac{dy}{dx} = - 5xe^{y}

\frac{dy}{e^{y}}   = - 5x dx

Then, we integrate both sides

\int {\frac{dy}{e^{y}}}  =\int {- 5x dx}

\int {e^{-y}dy }}  =\int {- 5x dx}

Then,

-e^{-y} = -\frac{5}{2}x^{2} + C

e^{-y} = \frac{5}{2}x^{2} + C

Then,

ln(e^{-y}) = ln(\frac{5}{2}x^{2} + C)

Then,

-y = ln(\frac{5}{2}x^{2} + C)

Hence,

y = - ln(\frac{5}{2}x^{2} + C)

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