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2 years ago

Is prime a composite number, a prime number, both or neither? Pease explain.

1 answer:

5 0

Composite number is made up of 2 or more prime numbers
a prime number is only made up of itself and 1

composite and prime numbers are like oposites

a prime is not a composite but it is a prime number
confusing quesiton

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I need help with this problem.

liberstina [14]

4050 divided by 3 = 1350
There is 4050 people in an arena and there is 3 sections of seats. How many people are in one section of seats?

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3 years ago

Rick took a 20-minute coffee break. at the end of the break, it was 10:00

gladu [14]

Rick started his coffee break at 9:40 am.

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3 years ago

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Answer:

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2 years ago

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What is the answer to 36 times 3\9?

irinina [24]

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2 years ago

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Solving separable differential equation DY over DX equals xy+3x-y-3/xy-2x+4y-8

Ivanshal [37]

It looks like the differential equation is

$\dfrac{dy}{dx} = \dfrac{xy + 3x - y - 3}{xy - 2x + 4y - 8}$

Factorize the right side by grouping.

$xy + 3x - y - 3 = x (y + 3) - (y + 3) = (x - 1) (y + 3)$

$xy - 2x + 4y - 8 = x (y - 2) + 4 (y - 2) = (x + 4) (y - 2)$

Now we can separate variables as

$\dfrac{dy}{dx} = \dfrac{(x-1)(y+3)}{(x+4)(y-2)} \implies \dfrac{y-2}{y+3} \, dy = \dfrac{x-1}{x+4} \, dx$

Integrate both sides.

$\displaystyle \int \frac{y-2}{y+3} \, dy = \int \frac{x-1}{x+4} \, dx$

$\displaystyle \int \left(1 - \frac5{y+3}\right) \, dy = \int \left(1 - \frac5{x + 4}\right) \, dx$

$\implies \boxed{y - 5 \ln|y + 3| = x - 5 \ln|x + 4| + C}$

You could go on to solve for $y$ explicitly as a function of $x$ , but that involves a special function called the "product logarithm" or "Lambert W" function, which is probably beyond your scope.

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1 year ago