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3 years ago

A square has an area of 64in2 what is the length of each side

Mathematics

1 answer:

Charra [1.4K]3 years ago

8 0

64
cause it l×h to get a 2 dimensional object like a square

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A Bernoulli differential equation is one of the form dxdy+P(x)y=Q(x)yn Observe that, if n=0 or 1, the Bernoulli equation is line

aleksandr82 [10.1K]

It's unclear whether the ODE is

$xy'+y=4xy^2$

$xy+y'=4xy^2$

If the first case, then divide through both sides by $y^2$ to get

$xy^{-2}y'+y^{-1}=4x$

then substitute $z=y^{-1}$ , so that $z'=-y^{-2}y'$ . Then

$-xz'+z=4x\implies-\dfrac1xz'+\dfrac1{x^2}z=\left(-\dfrac1xz\right)'=\dfrac4x$

$\implies-\dfrac1xz=\displaystyle\int\frac4x\,\mathrm dx$

$\implies z=-4x\ln|x|+Cx$

$\implies\boxed{y=\dfrac1{Cx-4x\ln|x|}}$

If the second, then dividing through by $y^2$ gives

$xy^{-1}+y^{-2}y'=4x$

The same substitution as before gives

$xz-z'=4x\implies e^{-x^2/2}z'-xe^{-x^2/2}z=\left(e^{-x^2/2}z\right)'=-4xe^{-x^2/2}$

$\implies e^{-x^2/2}z=\displaystyle-4\int xe^{-x^2/2}\,\mathrm dx$

$\implies z=4+Ce^{x^2/2}$

$\implies\boxed{y=\dfrac1{4+Ce^{x^2/2}}}$

5 0

3 years ago

Help me answer please

Nastasia [14]

Answer:

Sorry

Step-by-step explanation:

5 0

2 years ago

I'll give brainlisest and thanks, picture below!!

tester [92]

Answer:

Your answer is A. good luck

Step-by-step explanation:

8 0

3 years ago

Read 2 more answers

Claudia studied for 45 minutes. Crystal studied for 5 minutes.

andreev551 [17]

Answer:

The number of minutes Claudia studied is <u>9</u> times as many minutes that Crystal studied.

Step-by-step explanation:

45/5=9

8 0

2 years ago

Consider the function f(x) = 10x^2 + 6x - 2 when x=3

Savatey [412]

Answer:

106

Step-by-step explanation:

Substitute x = 3 into f(x) and evaluate , that is

f(3)

= 10(3)² + 6(3) - 2 = 10(9) + 18 - 2 = 90 + 18 - 2 = 106

5 0

3 years ago