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:
y - 2 = (1/8)(x + 8)
Step-by-step explanation:
The slope of the given line is -8. That means the slope of any line perpendicular to the given line will be the negative reciprocal of -8, which would be (1/8).
Then the desired equation is
y - 2 = (1/8)(x + 8)
Answer:
Dont count me if I'm wrong but if you divide 225 by 30 you get 7.5
So your answer should be 7.5
4y ≥ 3x + 2
Plugging in the values in the options, then the required values are when x = 6 and y = 5, then
4(5) ≥ 3(6) + 2
20 ≥ 18 + 2
20 ≥ 20
Answer:
C
Step-by-step explanation:
The rubber exercise ball is a sphere
the volume of a sphere= 4/3*pi*r3
where r = the radius of the sphere.
from the diagram, the radius = 4.5inches
Therefore, volume of the rubber ball = 4/3*pi*4.5^3 = 381.51 cubic inches
