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
Its simplest form is 8 5/18
<span>Which function passes through the points (2, 15) and (3, 26)?
</span>
Its B
Answer:
Option A. is correct
Step-by-step explanation:
The circumcenter is a point of intersection of all the perpendicular bisectors of a triangle.
The incenter is a point of intersection of all the angle bisectors of a triangle.
The orthocenter is a point of intersection of all the altitudes of a triangle.
The centroid is a point of intersection of all the medians of a triangle.
The incenter, orthocenter, and centroid always lie inside a triangle.
However, a circumcenter does not always lie inside a triangle.
In an acute-angled triangle, the circumcenter may lie inside or outside the triangle.
So,
Option A. is correct
