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nignag [31]
3 years ago
5

Can someone help please this is due soon ​

Mathematics
1 answer:
Rus_ich [418]3 years ago
3 0

Answer:

y= 3x - 6

Reason:

Just because.

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D^2(y)/(dx^2)-16*k*y=9.6e^(4x) + 30e^x
MA_775_DIABLO [31]
The solution depends on the value of k. To make things simple, assume k>0. The homogeneous part of the equation is

\dfrac{\mathrm d^2y}{\mathrm dx^2}-16ky=0

and has characteristic equation

r^2-16k=0\implies r=\pm4\sqrt k

which admits the characteristic solution y_c=C_1e^{-4\sqrt kx}+C_2e^{4\sqrt kx}.

For the solution to the nonhomogeneous equation, a reasonable guess for the particular solution might be y_p=ae^{4x}+be^x. Then

\dfrac{\mathrm d^2y_p}{\mathrm dx^2}=16ae^{4x}+be^x

So you have

16ae^{4x}+be^x-16k(ae^{4x}+be^x)=9.6e^{4x}+30e^x
(16a-16ka)e^{4x}+(b-16kb)e^x=9.6e^{4x}+30e^x

This means

16a(1-k)=9.6\implies a=\dfrac3{5(1-k)}
b(1-16k)=30\implies b=\dfrac{30}{1-16k}

and so the general solution would be

y=C_1e^{-4\sqrt kx}+C_2e^{4\sqrt kx}+\dfrac3{5(1-k)}e^{4x}+\dfrac{30}{1-16k}e^x
8 0
3 years ago
A cake recipe for 12 people calls for 8 cups of sugar. If Jenny wants to bake a cake for 7 people, how many cups of sugar should
Vaselesa [24]
12 people ⇒8 cups

1 person ⇒ 8/12 = 2/3 cup

7 persons ⇒ 2/3 x 7 = 14/3 4 2/3 cups

Answer: She should use 4 2/3 cups of sugar.
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3 years ago
Which function represents the graph of y=10(4)x ?<br><br><br><br> f<br><br> g<br><br> h<br><br> j
garri49 [273]
G would be the correct answer
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3 years ago
In a circle D with m
Tasya [4]

Answer:

And?

Step-by-step explanation:

3 0
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Which point is located at (0.25, negative 0.5)? On a coordinate plane, point A is 0.5 units to the left and 0.5 units up. Point
kvv77 [185]

Answer:

c

Step-by-step explanation:

5 0
3 years ago
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