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3 years ago

Evaluate. (-1/3) ^3

Mathematics

2 answers:

uranmaximum [27]3 years ago

8 0

Answer:

-Dominant- [34]3 years ago

3 0

Answer:

$-\frac{1}{27}$

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The indicated function y1(x) is a solution of the given differential equation. Use reduction of order or formula (5) in Section

lisabon 2012 [21]

Answer:

$\therefore y_2(x)=-\frac{e^{-6x}}{8}$

The general solution is

$y=c_1e^{2x}-c_2.\frac{e^{-6x}}{8}$

Step-by-step explanation:

Given differential equation is

y''-4y'+4y=0

and $y_1(x)=e^{2x}$

To find the $y_2(x)$ we are applying the following formula,

$y_2(x)=y_1(x)\int \frac{e^{-\int P(x) dx}}{y_1^2(x)} \ dx$

The general form of equation is

y''+P(x)y'+Q(x)y=0

Comparing the general form of the differential equation to the given differential equation,

So, P(x)= - 4

$\therefore y_2(x)=e^{2x}\int \frac{e^{-\int 4dx}}{(e^{2x})^2}dx$

$=e^{2x}\int \frac{e^{-4x}}{e^{4x}}dx$

$=e^{2x}\int e^{-4x-4x} \ dx$

$=e^{2x}\int e^{-8x} \ dx$

$=e^{2x}. \frac{e^{-8x}}{-8}$

$=-\frac{e^{-6x}}{8}$

$\therefore y_2(x)=-\frac{e^{-6x}}{8}$

The general solution is

$y=c_1e^{2x}-c_2.\frac{e^{-6x}}{8}$

4 0

3 years ago

Help me please fine the value of X

MA_775_DIABLO [31]

X is 10.5 because each side is the same and the other side is 42. So 42 divided by four is 10.5. Hope this helps!

3 0

3 years ago

Please help ASAP! i am having issues!

adell [148]

i believe the answer is D.) 1 over 8

Explanation: 4 is one of the 8 numbers so it would be a 1 over 8 chance.

3 0

3 years ago

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Using the quadratic formula to solve x2 + 20 = 2x, what are the values of x?

cluponka [151]

Step-by-step explanation:

x² + 20 = 2x

x² − 2x + 20 = 0

x = [ -b ± √(b² − 4ac) ] / 2a

x = [ -(-2) ± √((-2)² − 4(1)(20)) ] / 2(1)

x = [ 2 ± √(4 − 80) ] / 2

x = [ 2 ± √(-76) ] / 2

x = [ 2 ± 2i√19 ] / 2

x = 1 ± i√19

3 0

3 years ago

What is -2.24 plz help me

igomit [66]

The answer would be the third choice, 2.24.

7 0

3 years ago

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