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3 years ago

What is the product? (negative 3 s + 2 t)(4 s minus t)

Mathematics

2 answers:

lapo4ka [179]3 years ago

8 0

Answer:

-12s^2 + 11st - 2t^2.

Step-by-step explanation:

(-3s + 2t)(4s - t)

= -3s(4s - t) + 2t(4s - t)

= -12s^2 + 3st + 8st - 2t^2

= -12s^2 + 11st - 2t^2.

natima [27]3 years ago

7 0

Answer:

Step-by-step explanation:

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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

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

The characteristic equation

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

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For nonhomogeneous ODE (1),

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consider the ansatz particular solution

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Substituting this into (1) gives

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For the nonhomogeneous ODE (2),

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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)

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take the ansatz

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1 year ago

Mr Turner buys 12 pencils for $0.57 each . He pays with a $10 bill how much change would he revive

Delvig [45]

12(0.57)= 6.84

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Mr. Turner’s change is $3.16.

Hope this helps!

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3 years ago

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skad [1K]

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Step-by-step explanation:

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