For this case we have by definition, that the volume of a sphere is given by:
Where:
r: It is the radius of the sphere
If the radius is divided by 3 we have:
ANswer:
the volume decreases considerably because the denominator increases
Answer:yeeyyh
Step-by-step explanation:
Express √3 + i in polar form:
|√3 + i| = √((√3)² + 1²) = √4 = 2
arg(√3 + i) = arctan(1/√3) = π/6
Then
√3 + i = 2 (cos(π/6) + i sin(π/6))
By DeMoivre's theorem,
(√3 + i)³ = (2 (cos(π/6) + i sin(π/6)))³
… = 2³ (cos(3 • π/6) + i sin(3 • π/6))
… = 8 (cos(π/2) + i sin(π/2))
… = 8i
Answer:
multiply by
Convert from Convert to
US gpd US gpm cfm IMP gpd IMP gpm
m3/s 22800000 15852 2119 19000000 13200
m3/min 380000 264.2 35.32 316667 220
m3/h 6333.3 4.403 0.589 5277.8 3.67
liter/sec 22800 15.852 2.119 19000 13.20
liter/min 380 0.2642 0.0353 316.7 0.22
liter/h 6.33 0.0044 0.00059 5.28 0.0037
US gpd 1 0.000695 0.000093 0.833 0.000579
US gpm 1438.3 1 0.1337 1198.6 0.833
cfm 10760.3 7.48 1 8966.9 6.23
Imp gpd 1.2 0.00083 0.00011 1
Step-by-step explanation:
googled it
Converges by p series test
top section is almost constant, can never be larger than 3
so, compare degrees of their exponents, in this case it’s at a maximum of 3/1000n^2. the same as saying (3/1000)*summation of p series.
converges absolutely.
