Answer:
Step-by-step explanation:
-b
- (-8b+5)
_________
-b
+ (8b-5)
__________
Solution: 7b-5
Check: 7b-5
+ -8b+5
__________
-b
Recall the double angle identity,
sin(2x) = 2 sin(x) cos(x)
Then we can write
sin(9x) cos(9x) = 1/2 sin(2 • 9x) = 1/2 sin(18x)
Then
∫ sin(9x) cos(9x) dx
= 1/2 ∫ sin(18x) dx
= -1/2 • 1/18 cos(18x) + C
= -1/36 cos(18x) + C
though you could continue with another double angle identity,
cos(2x) = cos²(x) - sin²(x)
to rewrite the antiderivative as
= -1/36 (cos²(9x) - sin²(9x)) + C
= 1/36 (sin²(9x) - cos²(9x)) + C
Answer:
Cos A = Adjacent / hypochondrium
Cos A= 9/ 41
Answer:
<em>Gardener will need 4 more plants.</em>
Step-by-step explanation:
Gardener has 780 plants and wants to plant them in an array of n rows and n columns.
The number of plants needed to do that is:
He actually has 780 plants, thus it should occur:
Taking the square root:
n=27.9
Since n needs to be an integer, we round up n to get
n=28
But , 4 more than the actual number of plants, thus:
Gardener will need 4 more plants.
Note: There are other possible results for n. If we set n=29, then and Gardener would need 841-780=61 more plants, but the question asked for the minimum number of plants.