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3 years ago

Is 0.58462 a terminating decimal

Mathematics

1 answer:

Ray Of Light [21]3 years ago

5 0

Answer:

yes ( there is no dots...... telling that the numbers continue) In this case yes

If the numbers continue without repeating then it is a Non-Terminating, Non-Repeating Decimal

Step-by-step explanation:

Terminating decimal :digits end.

Examples:

0.50 (it has two decimal digits)

3.0395 (it has four decimal digits

But a Repeating Decimal has digits that go on forever

Example: 1/3 = 0.333... (the 3 repeats forever)

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3 years ago

Solve the differential equation. y' + 5xey = 0.

Gwar [14]

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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3 years ago