2 years ago

Type the missing numbers

Mathematics

2 answers:

Sloan [31]2 years ago

8 0

Answer:

-8, -6, -4, -2, 0, 2, 4

Step-by-step explanation:

The numbers are increasing/decreasing by 2.

andrew11 [14]2 years ago

6 0

Answer:

-8, -4, 2

Step-by-step explanation:

-8, -4, 2

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Find the flow rate through a tube of radius 6 cm, assuming that the velocity of fluid particles at a distance r cm from the cent

vaieri [72.5K]

Answer:

791.68 cm/s

Step-by-step explanation:

The volume flow rate can be interpreted as the integral of fluid velocity over area

$\dot{V} = \int\limits^6_0 {v(r) 2\pi r} \, dr\\\dot{V} = 2\pi\int\limits^6_0 {(25-r^2)r} \, dr\\\dot{V} = 2\pi\int\limits^6_0 {25r-r^3} \, dr\\\\\dot{V} = 2\pi[12.5r^2 - r^4/4]_0^6\\\dot{V} = 2\pi(12.5*6^2 - 6^4/4 - 12.5*0 - 0)\\\dot{V} = 2\pi*126 = 791.68 cm/s$