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3 years ago

5

X y

2 answers:

hjlf3 years ago

7 0

The answer would be D.

a_sh-v [17]3 years ago

5 0

Answer is D

Since y goes from 3 to 5, it goes up 2, but when it goes from 5 to 9, it goes up 4, making y go up by different amounts. Y should not be able to go up by different amounts if it was proportional, so D would be the answer. Hope this helps!

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Find a homogeneous linear differential equation with constant coefficients whose general solution is given by

frez [133]

Answer:

$y" + 2y' + 2y = 0$

Step-by-step explanation:

Given

$y=c_1e^{-x}cosx+c_2e^{-x}sinx$

Required

Determine a homogeneous linear differential equation

Rewrite the expression as:

$y=c_1e^{\alpha x}cos(\beta x)+c_2e^{\alpha x}sin(\beta x)$

Where

$\alpha = -1$ and $\beta = 1$

For a homogeneous linear differential equation, the repeated value m is given as:

$m = \alpha \± \beta i$

Substitute values for $\alpha$ and $\beta$

$m = -1 \± 1*i$

$m = -1 \± i$

Add 1 to both sides

$m +1= 1 -1 \± i$

$m +1= \± i$

Square both sides

$(m +1)^2= (\± i)^2$

$m^2 + m + m + 1 = i^2$

$m^2 + 2m + 1 = i^2$

In complex numbers:

$i^2 = -1$

So, the expression becomes:

$m^2 + 2m + 1 = -1$

Add 1 to both sides

$m^2 + 2m + 1 +1= -1+1$

$m^2 + 2m + 2= 0$

This corresponds to the homogeneous linear differential equation

$y" + 2y' + 2y = 0$

6 0

2 years ago

Help please ‼️‼️‼️‼️

Andrei [34K]

Answer:

I got (y-7)=1/13(x+6) for point slope

and y=1/3x+13 for slope intercept form

double check me though I'm new at this

3 0

2 years ago

What is the greatest cThe work that Yi did to find the greatest common factor of 42 and 63 is shown below.

bija089 [108]

Yi forgot two factors of 63, which are 3 and 21.

This would make the greatest common factor 21.

5 0

2 years ago

What is the polynomial -9+1/8x-7x^4+x^2-x^5 in standard form

Oduvanchick [21]

Answer:

-x^5 - 7x^4 + x^2 + (1/8)x - 9

Step-by-step explanation:

Rewrite the given -9+1/8x-7x^4+x^2-x^5 in descending order of the variable x:

-9+1/8x

-x^5 - 7x^4 + x^2 + (1/8)x - 9

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3 years ago

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prohojiy [21]

Answer:

Step-by-step explanation:

the answer is h

8 0

2 years ago

Read 2 more answers