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3 years ago

Find the domain, holes, vertical asymptotes, horizontal asymptotes, oblique/slant asymptotes, x intercepts, and y intercepts

Mathematics

1 answer:

shusha [124]3 years ago

7 0

Yuuuhhh get into I wish I can be so fast like John cook fly you to the moon like John cook

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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 $y>0$ .

4 0

3 years ago

What is another way to write 54?

never [62]

Answer:

None of the above.

5 0

3 years ago

Read 2 more answers

The circumference is __

Anestetic [448]

Answer:

As we know that there is a radius which is 2 cm

so 

circumference = 2 π r

 = 2 * 22/7 * 2

 = 12.57cm

it's circumference is 12.57 cm

3 0

3 years ago

Read 2 more answers

Which relation is not a function?

Lelu [443]

The Answer is A.

Repeating number is not a function. It's ok to have repeating number in Y or the range but not the X which is the Domain.

4 0

3 years ago

Someone please help me

Mars2501 [29]

Answer:

x=-1,-2

Step-by-step explanation:

Multiply the given equation with (x+1) on both sides. We'll get,

x+2/x=-3

or,x^2+2=-3x

or,x^2+3x+2=0

or,x^2+2x+x+2=0

or,x(x+2)+1(x+2)=0

or,(x+2)(x+1)=0

or,x=-2,-1

4 0

3 years ago