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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.

Q: What is the average rate of increase of the circle when the radius is from 1 cm to 3 cm?

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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

Average Transient Rate

Rate of flow varies as R^4 where R is the radius or Rate of flow = (k) x (R^4)

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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Related questions

A = (pi)(r)2 (dA/dt) = (2(pi)(r)) * (dr/dt) (8) = (2(pi)(96)) * (dr/dt) (dr/dt) = (1) / (24(pi))

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 temperature and density in the Sun's core as well as higher concentration of hydrogen nuclei would cause the fusion rate to increase.

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

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.

Increasing exponentially.

Natural increase of a country refers to the rate at which its population grows due to the difference between births and deaths. Fertility rate, on the other hand, is a measure of the average number of children born to women in a specific population. A country's fertility rate influences its natural increase, but other factors like mortality rates also play a role.

The relationship between fluid flow rate and flow radius is not linear nor exponential. It is described by the Hagen-Poiseuille equation which shows that the flow rate is directly proportional to the fourth power of the radius of the tube. This means that a small change in the radius of the tube can have a significant impact on the flow rate.