An artery with a 3 cm radius carries blood away from the heart. In a constricted region that is partially blocked with plaque, the radius shrinks to 2 cm and the blood's velocity is 5 m/s. What is the bloods velocity in the 3 cm radius unconstricted region?

Explanation:

What is flow rate?

Flow rate is the volume of fluid per unit time flowing past a point through the area  

the formula is Q=Av

where A= area

         v= flow velocity

step one:

given data

radius r1= 3cm= 0.03m

radius r2=2cm= 0.02m

velocity v1=?

velocity v2=5m/s

The area A1

The area A2

Step two:

For the continuous flow

Q1=Q2

A1v1=A2v2

0.0028*v1=0.0013*5

v1=0.0065/0.0028

v1=2.32m/s

The bloods velocity in the 3 cm radius unconstricted region is 2.32m/s

i think it because equal matrices have equal dimensions, only square matrices can be symmetric. for all indices and . every square diagonal matrix is symmetric, since all off-diagonal elements are zero. in linear algebra, a real symmetric matrix represents a self-adjoint operator over a real inner product space.