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:
Step-by-step explanation:
d
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Answer:
A. (2,-0.5)
Step-by-step explanation:
A pair of coordinates is always (x,y) so
If you insert the numbers into the equation you get
10(-0.5) = 3(2) - 11
-5 = 6 - 11
-5 = -5
Therefore (2,-0.5) is the point that likes on the graph
6/14 = 7/x
so
x = 7 * 14 / 6
x = 98/6
x = 16.3
answer
D. x = 16.3