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3 years ago

If it is not a whole number, then it is not a natural number. True or false?

Mathematics

1 answer:

KonstantinChe [14]3 years ago

8 0

Hope it helps yah (◕ᴗ◕✿)

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Match solutions and differential equations. Note: Each equation may have more than one solution. Select all that apply. (a) 7y''

Nonamiya [84]

Answer:

a- $e^x,e^{-x}$

b- $x^{-2}$

c- $x^3$

Step-by-step explanation:

a.7 y''-7 y =0

Auxillary equation

$D^2-1=0$

$(D-1)(D+1)=0$

D=1,-1

Then , the solution of given differential equation

$y=e^x,y=e^{-x}$

2. $7x^2y''+14xy'-14 y=0$

Y= $y=x^3$

$y=3x^2$

$y''=6x$

Substitute in the given differential equation

$42x^3+42x^3-14x^3\neq 0$

Hence, $x^3$ is not a solution of given differential equation

$e^x,e^{-x}$ are also not a solution of given differential equation.

y= $x^{-2}$

$y'=-2x^{-3}$

$y''=6x^{-4}$

Substitute the values in the differential equation

$7x^2(6x^{-4})+14x(-2x^{-3})-14 x^{-2}$

= $42x^{-2}-28x^{-2}-14x^{-2}=0$

Hence, $x^{-2}$ is a solution of given differential equation.

c. $7x^2y''-42y=0$

$y=x^3$

$y'=3x^2$

$y''=6x$

Substitute the values in the differential equation

$42x^3-42x^3=0$

Hence, $x^3$ is a solution of given differential equation.

a- $e^x,e^{-x}$

b- $x^{-2}$

c- $x^3$

6 0

4 years ago

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Evaluate the sum of the finite geometric series. 1+2+4+8+...+128

Wittaler [7]

S = a*((1 - r^(n+1))/(1-r)) S = 1*((1 - 2^(7+1))/(1-2)) S = 1*((1 - 2^8)/(1-2)) S = 1*((1 - 256)/(1-2)) S = 1*((-255)/(-1)) S = 255 So 1+2+4+8+...+128 = 255

7 0

3 years ago

OK THIS IS MAH 3rd QUESTION CAN SOMEONE PLS HELP MEH? I REALLY NEED HELP PLS! :3

nasty-shy [4]

Answer:

The earthquake was a magnitude 6.8, which describes the relative size of the earthquake at the spot where it occurred. Earthquakes with a magnitude larger than 6 tend to be severe and cause damage.

Step-by-step explanation:

Now that i wrote this passage you have to figure out which one it is

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3 years ago

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Decimals between 5.1 to 5.2

guajiro [1.7K]

There are an infinite number of decimals between 5.1 and 5.2, 5.11,5.11111111111111.

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3 years ago

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PLZ ANSWER THIS ASAP