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: Height = 4 centimeters
Area = 144 cm^2
Step-by-step explanation:
So we know that on a rectangle opposite sides are equal in distance.
If one side of the rectangle is 36 centimeters then that means the opposite side is also 36 centimeters.
36 + 36 = 72 centimeters
The perimeter is the sum of all sides, so two out of the four of our sides total to 72 centimeters. So the remaining length of both sides is as follows:
80 - 72 = 8
The sum of the remaining sides is 8 so divide it between the two and that is the height.
8/2 = 4
I'm not sure what the question wants so here is pretty much everything:
Height: 4 cm
Area: 144 cm^2
Answer:
C
Step-by-step explanation:
There are 6 units in the numberline, and 2 are shaded. So, 2/6 are shaded.
Answer:
The answer is the last one
Step-by-step explanation:
Hope this helps
Answer:
7x+72xy
Step-by-step explanation:
7x+8x(9y)=7x+72xy
