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:
P(x) = 
+ 
+ 
Step-by-step explanation:
x(x + 1/6)(x + 3) = P
x(
+ 3x + 1/6(x) + 1/2) = P
x ( + 19/6(x) + 1/2) = P
+ + = P(x)
Answer:
4 hours
Step-by-step explanation:
63-35=28 28 divided by 7= 4
Answer:
Step-by-step explanation:
we have:
we also have:
from (1)(2) => proven
Answer:
(-9,4)
Step-by-step explanation:
so we are going to take the original coordinates (-5,1) and to the operation that the question wants us to do (x-4,y+3) by subsitituing the variables in so we get (-5-4,1+3)
Answer: (-9,4)
