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lianna [129]
3 years ago
5

I NEED HELP PLS. I NEED PASS MY FINALS

Mathematics
1 answer:
sweet-ann [11.9K]3 years ago
8 0
C: 14X•X=14X^2
Also fyi you can always looks these up it might be hard to find the answers but still
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What’s the volume of the rectangular prism in cubic meters
GarryVolchara [31]

Answer:

Volume of the prism=60m3

Step-by-step explanation:

Volume of any prism=height*width*length

Volume of the prism=3m*5m*4m=60m3

Volume of the prism=60m3

7 0
3 years ago
Use the method of undetermined coefficients to find the general solution to the de y′′−3y′ 2y=ex e2x e−x
djverab [1.8K]

I'll assume the ODE is

y'' - 3y' + 2y = e^x + e^{2x} + e^{-x}

Solve the homogeneous ODE,

y'' - 3y' + 2y = 0

The characteristic equation

r^2 - 3r + 2 = (r - 1) (r - 2) = 0

has roots at r=1 and r=2. Then the characteristic solution is

y = C_1 e^x + C_2 e^{2x}

For nonhomogeneous ODE (1),

y'' - 3y' + 2y = e^x

consider the ansatz particular solution

y = axe^x \implies y' = a(x+1) e^x \implies y'' = a(x+2) e^x

Substituting this into (1) gives

a(x+2) e^x - 3 a (x+1) e^x + 2ax e^x = e^x \implies a = -1

For the nonhomogeneous ODE (2),

y'' - 3y' + 2y = e^{2x}

take the ansatz

y = bxe^{2x} \implies y' = b(2x+1) e^{2x} \implies y'' = b(4x+4) e^{2x}

Substitute (2) into the ODE to get

b(4x+4) e^{2x} - 3b(2x+1)e^{2x} + 2bxe^{2x} = e^{2x} \implies b=1

Lastly, for the nonhomogeneous ODE (3)

y'' - 3y' + 2y = e^{-x}

take the ansatz

y = ce^{-x} \implies y' = -ce^{-x} \implies y'' = ce^{-x}

and solve for c.

ce^{-x} + 3ce^{-x} + 2ce^{-x} = e^{-x} \implies c = \dfrac16

Then the general solution to the ODE is

\boxed{y = C_1 e^x + C_2 e^{2x} - xe^x + xe^{2x} + \dfrac16 e^{-x}}

6 0
1 year ago
F the value of x decreases by 6, how does the value of m(x + 9) change?
Yuki888 [10]

start with y= m(x+9)

Use the distributive property:

y= mx+9m

Now you want x to decrease by 6:

so y ' = m(x-6) + 9m

Use distributive property again:

y'= mx - 6m + 9m

y' = (mx+9m) - 6m

y' = y - 6m

So the value of y decreases by 6m.

3 0
3 years ago
In 5th grade Flo learned that the volume of a rectangular prism can be stated as
ale4655 [162]
The answer is 9,267.5
3 0
3 years ago
Read 2 more answers
Find the quotient (-6) divided by (-7)
Elena L [17]

Answer:

I got a decimal

Step-by-step explanation:

<u><em>0.857142857</em></u>

3 0
4 years ago
Read 2 more answers
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