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
1. A) 5 (It would be B. because it does equal 4.09 but it has to be 5 because it is the greatest integer in all of them)
2. D) 10 (Just like 1. it would be B. also BUT 10 is the greatest integer you can have out of all of them)
3. A) 6 (Just like the other 2 problems at the top^ it would be C. if not for the fact it has a higher number.)
4. A) A value we can put in place of a variable (such as x) that makes the equation true.
Answer:
rotational symmetry of 60 degrees around the origin - yes
rotational symmetry of 120 degrees around the origin - yes
Step-by-step explanation:
A regular hexagon has 6 congruent angles
the the angles created on the line of symmetry are equal to 60 so the angle of rotational symmetry is 60 degrees.
The regular hexagon, like stated before, has 6 congruent angles so the order of symmetry is 6
Here is a visual from basic-matematics
Your balance would be 35, I think
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