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:
1.W=3+2L
The width is 9ft
2.part 1) W=100-L
part 2)A (L)=L (100-L)
3.=3×width=3×(3ft)=9ft
9feet.
Step-by-step explanation:
i hope its help
Step-by-step explanation:
4x^2+3x+1 and x^2+4x are quadratic
Answer:
1. Let n represents the number of weeks she needs to make at least 28 costumes,
Since, she can make 4 costumes each week,
i.e. In number line closed circle on 7 and shaded right from 7.
2. If the maximum time taken by her is 10 weeks,
⇒ n ≤ 10 ----(2),
From equation (1) and (2),
I.e. closed circle on both 7 and 10 and shaded right from 7 and shaded left from 10.
