8^3 = 512
8^3 also eqauls 8 x 8 x 8.
I hope I helped!
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
More than likely it is c, because I looked over all the answers and c was the best one for the problem
Solution
1) Simplify
<span> to </span>
<span>−2= </span>
+
2) Simplify
+
<span>to <span>914</span>
</span>
<span>−2= </span>
3) <span>Add 2 to both sides
</span>
=
<span>+2
</span>
4) Simplify
<span><span>+2</span> to </span>
=
5) <span>Multiply both sides by 7
</span><span>4y= </span>
<span>×7
</span>
6) Simplify
<span><span>×7</span> to </span>
=
7) Simplify
<span> to </span>
=
8) <span>Divide both sides by 4
</span>y=
<span>×4
</span>
9) <span>Simplify <span>2×4</span> to 8
</span><span>y=</span>
<span><span>
Hope this helps
</span></span>