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MA_775_DIABLO [31]
3 years ago
5

4

Mathematics
1 answer:
user100 [1]3 years ago
6 0
The answer is 15 I’m pretty sure
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Show that y=2e^(−x) cos(x)−e^(−x) sin(x) is a solution to y''+2y'+2y=0.
lara31 [8.8K]

Answer:

see below

Step-by-step explanation:

y' = -2e⁻ˣcos(x) -sin(x)2e⁻ˣ +e⁻ˣsin(x)-cos(x)e⁻ˣ = e⁻ˣ(-2cos(x)-2sin(x)+sin(x) -cos(x))

=e⁻ˣ(-3cos(x)-sin(x))

y'' = -e⁻ˣ(-3cos(x)-sin(x)) + (3sin(x)-cos(x))e⁻ˣ

y'' = e⁻ˣ[3cos(x)+sin(x) + 3sin(x)-cos(x)] = e⁻ˣ[2cos(x)+4sin(x)]

y''+2y'+2y = 0

e⁻ˣ[2cos(x)+4sin(x)] + 2[e⁻ˣ(-3cosx-sinx)] + 2[2e⁻ˣ cos(x)−e⁻ˣ sin(x)]

e⁻ˣ[2cos(x)+4sin(x)-6cos(x)-2sin(x)+4cos(x)-2sin(x)]

e⁻ˣ[-4cos(x)+2sin(x)+4cos(x)-2sin(x)]

e⁻ˣ[0cos(x)+0sin(x)] = 0

4 0
4 years ago
Read 2 more answers
11)
kaheart [24]
B.) 20
If x goes from 2 to 4 it was multiplied by 2. you would do the same to the y. 10*2=20
5 0
3 years ago
Read 2 more answers
Write an equation of the line passing through the points ​(3​,5​) and ​(−2​,−15​).
levacccp [35]

Answer:

y=4x-7

Step-by-step explanation:

Trust

4 0
4 years ago
A. y = z - xz + w<br> B. y = wz - x<br> C. y = wz - xz<br> D. y = x(w - z)
Alexeev081 [22]

Answer:

y=zw-zx in other words c

Step-by-step explanation:

w= zx+y/z

zw=zx+y

y=zw-zx

7 0
3 years ago
Read 2 more answers
NEED HELP ASAP ITS TIMED
Arturiano [62]
B. 39

Good luck on yourself timed exam!
4 0
4 years ago
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