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3 years ago

What is the point slope form of a line with slope 3/2 that contains the point (-1,2)?

Mathematics

1 answer:

777dan777 [17]3 years ago

5 0

B is the answer for the graph

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Solve the given differential equation by using an appropriate substitution. The DE is a Bernoulli equation.

Mama L [17]

Multiplying both sides by $y^2$ gives

$xy^2\dfrac{\mathrm dy}{\mathrm dx}+y^3=1$

so that substituting $v=y^3$ and hence $\frac{\mathrm dv}{\mathrm dv}=3y^2\frac{\mathrm dy}{\mathrm dx}$ gives the linear ODE,

$\dfrac x3\dfrac{\mathrm dv}{\mathrm dx}+v=1$

Now multiply both sides by $3x^2$ to get

$x^3\dfrac{\mathrm dv}{\mathrm dx}+3x^2v=3x^2$

so that the left side condenses into the derivative of a product.

$\dfrac{\mathrm d}{\mathrm dx}[x^3v]=3x^2$

Integrate both sides, then solve for $v$ , then for $y$ :

$x^3v=\displaystyle\int3x^2\,\mathrm dx$

$x^3v=x^3+C$

$v=1+\dfrac C{x^3}$

$y^3=1+\dfrac C{x^3}$

$\boxed{y=\sqrt[3]{1+\dfrac C{x^3}}}$

6 0

3 years ago

Andrew swims 22 laps at the same rate, how long does it take him

aniked [119]

Answer:

who knows

Step-by-step explanation:

who knows

7 0

3 years ago

How do I divide 6.4 into 0.08

Vitek1552 [10]

Ok I think you mean what is 6.4 divided by 0.8.

You can either use long division or a calculator. However since 6.4 divided by 0.8 is really the fraction 6.4/0.8 you can turn this into a much more simple problem.

Just $\frac{6.4}{0.8}$ ×

7 0

4 years ago

Plz help ill give brainlist to you

Lelu [443]

0.4% of $4,800 is $19.2, otherwise written as $19.20 in terms of money, apparently. This is based off the calculations of a calculator, though if you prefer to do the rough work, be my guest. The work for finding it on raw work is below.

(EX.) EQUATION : y = p% × x
EQUATION : y = 0.4% × 4800

To make this work, you gotta convert that percent into a decimal, by dividing the percentage by 100. 0.4 ÷ 100 = 0.004

EQUATION : y = 0.004 × 4800.

Once you multiply them, you get : 19.2 (otherwise known as $19.20)

6 0

4 years ago

Express $15 for 10 gallons as unit rate?

DIA [1.3K]

Answer:

$1.5 per gallon

Step-by-step explanation:

Unit rate is rate per gallon

$15/10gallons = $1.5 per gallon

8 0

3 years ago