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:
Which of the following is a common sign that a chemical change has occurred?
Step-by-step explanation:
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N = {15 +- root of ( 225 + 64) } / 2
= {15 +- root of 289 } / 24
= 15 + 17 } / 2 or { 15 -17 } /2
= 16 or -1
Answer:
3 is not a function because you cant have the same input with different outputs
4 is a function because each input has one output
Step-by-step explanation:
Algebra is a very important branch of math.
Algebra is a lot like arithmetic which means it follows all the rules of arithmetic, and it still uses the four main operations that arithmetic is built on.
In arithmetic, the only thing that was unknown was the answer to the problem. For example, 39 + 2 = 41. In algebra, we use a variable to represent the number. A variable is a letter that represents any number. The most common variable is "x".
