Answer:
y=2e^(−x)cosx−e^(−x)sinx
Satisfies the equation
Step-by-step explanation:
Answer:
y=2e^(−x)cosx−e^(−x)sinx
y = e^(-x)[2cosx - sinx]
y': product law
y' = -e^(-x)[2cosx - sinx] + e^(-x)[-2sinx - cosx]
y' = -e^(-x)[2cosx - sinx + 2sinx + cosx]
y' = -e^(-x)[3cosx + sinx]
y" = e^(-x)[3cosx + sinx] - e^(-x)[-3sinx + cosx]
y" = e^(-x)[3cosx - cosx + sinx + 3sinx]
y" = e^(-x)[2cosx + 4sinx]
y" + 2y' + 2y
e^(-x)[2cosx + 4sinx] - 2e^(-x)[3cosx + sinx] +2e^(-x)[2cosx - sinx]
e^(-x)[4sinx - 2sinx - 2sinx + 2cosx - 6 cosx + 4cosx]
= e^(-x) × 0
= 0
Answer:
18 students are likely to be wearing red
Step-by-step explanation:
From the question, we know a student either wears red , or blue, with the probability of a student wearing red is 3 times more probable than wearing white.
So, let’s say out of the 24 students, x of them are wearing white. What this practically mean is that 3 * x = 3x of the students would be expected to be wearing red.
Now, adding the number of people wearing red and white together in terms of x, we have x + 3x = 4x
We equate this to 24; 4x = 24 and x = 24/4; x = 6
The number wearing red probably is 3 * x = 3 * 6 = 18 people
Answer: =
Step-by-step explanation:
* Hopefully the work below helps:) Mark me the brainliest if this was helpful:)
2/10 or 1/5 gallon water is left because 8/10 - 6/10 = 2/10 = 1/5