3 years ago

Please, help me this due tomorrow morning I will mark as brainiest

Mathematics

1 answer:

Alecsey [184]3 years ago

5 0

What is the problem?

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3 years ago

Carlos found the area of the figure. Check his work, and explain any errors. 4 cm TheRectangle:(2)(1.5) = 3 cm 2 cm Triangle:(1)

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2 years ago

Sally earns commission for selling cars at the Nissan dealership. She earns 5.5% on

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2 years ago

Which symbol makes this statement true? 0.35 ____ 1/4<br> <, >, =

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4 0

3 years ago

given y>0 and dy/dx=(3x^2+4x)/yif the point (1,√10) is on the graph relating x and y, then what is y when x=0

jonny [76]

$\dfrac{\mathrm dy}{\mathrm dx}=\dfrac{3x^2+4x}y\iff y\,\mathrm dy=(3x^2+4x)\,\mathrm dx$
$\implies\displaystyle\int y\,\mathrm dy=\int(3x^2+4x)\,\mathrm dx$
$\implies \dfrac12y^2=x^3+2x^2+C$

When $x=1$ you have $y=\sqrt{10}$ , so

$\dfrac12(\sqrt{10})^2=1^3+2(1)^2+C\implies 5=1+2+C\implies C=2$

and so the particular solution to the ODE is

$\dfrac12y^2=x^3+2x^2+2$

Then when $x=0$ , you get

$\dfrac12y^2=0^3+2(0)^2+2=2$
$\implies y^2=4$
$\implies y=2$

where we omitted the negative root because it's given that $y>0$ .

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3 years ago