Answer:
904.78
Step-by-step explanation:
A sphere with a radius of 6 units has a volume of 904.78 units
E^(xy) = 2
(xdy/dx + y)e^(xy) = 0
At point (1, ln2), dy/dx + ln2 = 0
dy/dx = -ln2
The length of the bottom beam =9.16 feet
<h3>What is Pythagoras theorem?</h3>
the well-known geometric theorem that the sum of the squares on the legs of a right triangle is equal to the square on the hypotenuse.
Given : Total length of arm = 3.4+3.4=6.8 ft
Applying Pythagoras in triangle on right side we have,
H²=P²+ B²
6.8²= P² + 4.8²
46.24= P² +23.04
P²= 23.2
P= 4.81 feet
Similarly, on the triangle on left side.
Again we have the base as 4.81 feet.
Now, the length of the bottom beam= 4.81*2
=9.16 feet
Learn more about Pythagoras theorem here:
brainly.com/question/343682
#SPJ1
Method OneYour calculator might be able to do this. Mine does it like this.
6
nCr
2
=
15
Method 2You could simply set up 6C2
This gives you
Method ThreeYou only have to do this a couple of times to see how the cancellation works.

After all the cancellation takes place you have
6*5/2 = 15
Step-by-step explanation:
cot²x − cot x − 42
(cot x − 7) (cot x + 6)