If you mean average rate of area increase, it is 4pi cm2/cm. Simply take the total change in area, 9pi-1pi=8pi, and divide it by the total expansion.
i dont know im only 5 A better answer: I assume you are taking differential calculus? A = (pi) R^2 dA/dt = 2 dR/dt cross multiply and find dA/dR = 2 dA/dR = 2 pi R = 2 R = 1/pi
Rate of flow varies as R^4 where R is the radius or Rate of flow = (k) x (R^4)
Average Transient Rate
With the increase in flow rate the velocity of the fluid increases. and with the increase in velocity the pressure decreases, because there will be pressure drop (Refer Bernoulli's Theorm). So with increase in Flow rate the pressure decreases.
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If you increase the radius of a blood vessel, the flow rate of blood through that vessel will increase significantly. This is due to the principles of fluid dynamics, specifically Poiseuille's law, which states that flow rate is proportional to the fourth power of the radius. As the radius increases, resistance to flow decreases, allowing more blood to flow through the vessel with less pressure required. Consequently, a larger radius enhances overall blood circulation in the body.
A = (pi)(r)2 (dA/dt) = (2(pi)(r)) * (dr/dt) (8) = (2(pi)(96)) * (dr/dt) (dr/dt) = (1) / (24(pi))
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Increasing the flow radius generally leads to an increase in flow rate, as there is more cross-sectional area for fluid to flow through. Conversely, decreasing the flow radius usually results in a decrease in flow rate due to the reduction in available space for fluid passage.
increase afferent radius or decrease efferent radius depending on the degree of change in blood pressure
Increase in the core temperature and decrease in the core radius.
If the flow tube radius on the left is increased, the flow rate will increase because a larger cross-sectional area allows for more fluid to pass through. Conversely, if the flow tube radius on the left is decreased, the flow rate will decrease as the smaller cross-sectional area restricts the flow of fluid. The flow rate is directly proportional to the radius of the flow tube.
Flow rate= radius to the fourth power
The main difference between the total fertility rate and the rate of natural increase is that the total fertility rate measures the average number of children a woman is expected to have in her lifetime, while the rate of natural increase calculates the difference between the birth rate and the death rate in a population.
C. exponential
The average heart rate is 40 to 70 beats per minute.
Linear taxes is the situation when the average tax rate is 20%. When this happens the tax rate will not increase with a higher income.