3 years ago

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Mathematics

1 answer:

Artyom0805 [142]3 years ago

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Lin and Lin hope this helpssssss

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Sally makes 7 out of every 10 shots she takes during practice. If this pattern were to continue, how many would she make during

Levart [38]

Answer:

Step-by-step explanation:

7 for first 10 shots
7 for another 10 shots
7 for last 10 shots

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GREYUIT [131]

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C. Please mark Brainliest!!!!!!

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You move it 5 over, so it is 3.844x10^5

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If the starting population of 5 rabbits grows at 200% each year, how many will there be 20 years?

alina1380 [7]

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SO population becomes twice in each year

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Find a linear second-order differential equation f(x, y, y', y'') = 0 for which y = c1x + c2x3 is a two-parameter family of solu

Alisiya [41]

Let $y=C_1x+C_2x^3=C_1y_1+C_2y_2$ . Then $y_1$ and $y_2$ are two fundamental, linearly independent solution that satisfy

$f(x,y_1,{y_1}',{y_1}'')=0$
$f(x,y_2,{y_2}',{y_2}'')=0$

Note that ${y_1}'=1$ , so that $x{y_1}'-y_1=0$ . Adding $y''$ doesn't change this, since ${y_1}''=0$ .

So if we suppose

$f(x,y,y',y'')=y''+xy'-y=0$

then substituting $y=y_2$ would give

$6x+x(3x^2)-x^3=6x+2x^3\neq0$

To make sure everything cancels out, multiply the second degree term by $-\dfrac{x^2}3$ , so that

$f(x,y,y',y'')=-\dfrac{x^2}3y''+xy'-y$

Then if $y=y_1+y_2$ , we get

$-\dfrac{x^2}3(0+6x)+x(1+3x^2)-(x+x^3)=-2x^3+x+3x^3-x-x^3=0$

as desired. So one possible ODE would be

$-\dfrac{x^2}3y''+xy'-y=0\iff x^2y''-3xy'+3y=0$

(See "Euler-Cauchy equation" for more info)

6 0

3 years ago

I need help with this problem​

I need help with this problem