A mirror frame in the shape of an oval is shown below. The ends of the frame form semicircles:

Mathematics

1 answer:

Volgvan2 years ago

4 0

Answer:

abcdefghijklmnopqrstuvwxyz

Step-by-step explanation:

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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

Please help

dsp73

Answer:

$147,848.5

Step-by-step explanation:

Fixed rate =7.35%

Mortgage Loan= $685,000

Selling price=$782,000

Property tax paid= $14,578.15

Therefore,

Prorated Amount Owed= Outstanding balance on the house + Interest paid on the loan for the year

Prorated Amount Owed=(782500-685000)+7.35% of 685000

=97500+50347.5

=$147,847.5

3 0

3 years ago

Is 144 a perfect square or not

Rina8888 [55]

Answer: Yes

Step-by-step explanation: 144 is a perfect square. In other words, it's possible to find a whole number that can be multiplied by itself that gives us 144.

In this case, we multiply 12 by 12 or 12² to get 144 which means 144 is a perfect square. Also, it's on our perfect square list which I will attach below.