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: you can run 6 miles
explanation: 8 2/5 divided by seven = 1.2 1.2x5 = 6
Answer:
A
Step-by-step explanation:
f(x) - g(x) = 3x-2 - (2x + 1) Remove the brackets
f(x) - g(x) = 3x - 2 - 2x -1 Combine terms.
f(x) - g(x) = x - 3
The answer is A
Answer:
x = 32
Step-by-step explanation:
x + 10 = 42, then you subtract 10 from both sides to get 32
Y=4x-7 think this is the answer