3 years ago

What is 5 *6?????........

Mathematics

1 answer:

andrey2020 [161]3 years ago

7 0

Answer:

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 $y>0$ .

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2 years ago

What is the absolute value of 2 and -2?

xeze [42]

If you mean |2-2| then the absolute value is 0

If you are talking about |2| |-2| then the absolute values are 2 and 2

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2 years ago

How do you solve f(x) = 800(1.09)3x

natta225 [31]

Answer:

2616x

Step-by-step explanation:

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2 years ago

Which statement best describes the effect on the graph of y = (x – 9)2 if the equation is changed to y = (x + 9)2?

7nadin3 [17]

Answer:

You won't be in the negative but postive side of the graph

Step-by-step explanation:

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2 years ago

The lenght of a side of a sqeare whose perimeter is r units

suter [353]

Answer:

r/4 units

Step-by-step explanation:

each side of a square is of the same length, perimeter is the sum of the 4 length, length of a side of square = r/4 units

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2 years ago