Answer:
0
Step-by-step explanation:
∫∫8xydA
converting to polar coordinates, x = rcosθ and y = rsinθ and dA = rdrdθ.
So,
∫∫8xydA = ∫∫8(rcosθ)(rsinθ)rdrdθ = ∫∫8r²(cosθsinθ)rdrdθ = ∫∫8r³(cosθsinθ)drdθ
So we integrate r from 0 to 9 and θ from 0 to 2π.
∫∫8r³(cosθsinθ)drdθ = 8∫[∫r³dr](cosθsinθ)dθ
= 8∫[r⁴/4]₀⁹(cosθsinθ)dθ
= 8∫[9⁴/4 - 0⁴/4](cosθsinθ)dθ
= 8[6561/4]∫(cosθsinθ)dθ
= 13122∫(cosθsinθ)dθ
Since sin2θ = 2sinθcosθ, sinθcosθ = (sin2θ)/2
Substituting this we have
13122∫(cosθsinθ)dθ = 13122∫(1/2)(sin2θ)dθ
= 13122/2[-cos2θ]/2 from 0 to 2π
13122/2[-cos2θ]/2 = 13122/4[-cos2(2π) - cos2(0)]
= -13122/4[cos4π - cos(0)]
= -13122/4[1 - 1]
= -13122/4 × 0
= 0
5km = 5000 meters
450m+800m= 1250m
5000m-1250m= 3,750m
3 3/4 km
It is arithmetic.
It starts at - 5,
the next item is 0 then 5 and next is 15 ...
============
It isn't geometric. You are not multiplying by 5
The second term must be and not- 5 * 5 = - 25
============
A Fibonacci series adds the previous two terms together to get the next term
Usually it starts at 0, but it doesn't need to.
0,1,1,2,3,5,8,13,21,34 ....
Once the rock hits the ground, we know that its height will be equal to 0m
because of this, we can replace H(x) with 0
now all we have to do is get x by itself
so..
then
now take the square root of each side
2.857 seconds (rounded to the third decimal)
JqhdifbeukwhskzbdhffibezhGaisvdcsbsgidbdhdudbegdzudbzudjddjdjdj
