The first thing we must do in this case is find the derivatives:
y = a sin (x) + b cos (x)
y '= a cos (x) - b sin (x)
y '' = -a sin (x) - b cos (x)
Substituting the values:
(-a sin (x) - b cos (x)) + (a cos (x) - b sin (x)) - 7 (a sin (x) + b cos (x)) = sin (x)
We rewrite:
(-a sin (x) - b cos (x)) + (a cos (x) - b sin (x)) - 7 (a sin (x) + b cos (x)) = sin (x)
sin (x) * (- a-b-7a) + cos (x) * (- b + a-7b) = sin (x)
sin (x) * (- b-8a) + cos (x) * (a-8b) = sin (x)
From here we get the system:
-b-8a = 1
a-8b = 0
Whose solution is:
a = -8 / 65
b = -1 / 65
Answer:
constants a and b are:
a = -8 / 65
b = -1 / 65
Answer:
-6<x<0
- -
Step-by-step explanation:
make them less than or equal to signs, I don't know how to do that on a computer, I hope I am correct
point one on the left is -6, point 2 on the right is 0 (in terms of the x-axis, that's what domain is )
when there is arrows in the graph, the x/y is always in the middle.
Good luck! Hope I'm not late!
Answer:
x = 1.8
Step-by-step explanation:
We have the equation -3x + 18 = 7x. First we do your step 1, and get: 18 = 10x. When doing your step 2, we divide both sides by 10 to isolate x alone. 18/10 = 1.8. X = 1.8
Answer: 0 -4 and -8
Step-by-step explanation:
If you divide -12/-3=4 and 4/4=1
