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
STEAM = 48 and MAST = 44 , this can also be written as S+T+E+A+M = 48 and M+A+S+T = 44 so STEAM - MAST = 48 - 44 = 4 ,so now we know the value for E , TEA = 27 so knowing E equals TA = 23 ,MAST - TA = 44 - 23 = 21 = MS , STEM - MS - E = T = 36 - 21 - 4 = 11 , TA - T = A = 23 - 11 = 12, SEA - A - E = S = 22 - 11 - 4 = 7, STEM - S - T - E = 36 - 7 - 11 - 4 = 14 = M ,
so now after all that we know that ,
E = 4
S = 7
T = 11
A = 12
M = 14
so ESTEEM = 4 + 7 + 11 + 4 + 4 + 14 = 44
Answer:
x + 10 < -4
Step-by-step explanation:
x + 10 is less than -4, so -4 would have to be greater. You would put x + 10 on the left side and on the right side would be -4. In between would be a less than sign because x + 10 is LESS than -4.
The degree of the third angle within the triangle will be 58
The angle of a line is 180 so we can find x by doing
180-58 = 122°
