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volume -( V) = (4/3) π r³ dV/dt where r is the radius and t is time in units
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∙ 9y ago
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What is an example for the volume of a cylinder?
The volume of a cylinder (several actually) is important in respect to car engines. A 2 litre engine has cylinders that together create a volume of 2 litres.
How to show that the rate of change of the volume of a cube with respect to the length of its edges is equal to have the surface area of the cube?
If the length of an edge is x, the volume is x3 To find the rate of change of the volume with respect to x, differentiate: d(x3)/dx = 3x2 The area of one face is x2 There are six faces so the total surface area is 6x2 Therefore the rate of change of volume, 3x2 , is half of 6x2 , the surface area.
Relate distance velocity acceleration using derivatives with respect to time?
I'm not sure about the respect to time, but the equation for velocity is the first derivative of the equation of time (w/ respect to distance) and acceleration is the second derivative. I'm sorry, I don't think I properly answered your question, but this information should be correct. . :)
What do acceleration measures?
rate of change of velocity with respect to time.
What do base units always have the volume of?
Base units need not have ANY volume. A second is the base unit for measuring time and it has no volume!
How you respect time?
we respect our time beacuse the time we will waste that never come back
What is a behavior of respect?
A behavior of respect iz when ppl respect themselves and then take the time to respect others
What is an example for the volume of a cylinder?
The volume of a cylinder (several actually) is important in respect to car engines. A 2 litre engine has cylinders that together create a volume of 2 litres.
What is spatial derivatives?
They are derivatives with respect to measures in space: normally length, area or volume.
What is the second derivative of volume?
Derivatives are usually taken with respect to time. The first derivative would have units of volume / time, i.e., a flow - for example - "so-and-so many cubic meters per second flow down our river".The second derivate would refer to a change in the flow - when the flow of a liquid or gas increases or decreases with time.
How do you find flow rate given volume and time?
The flow rate is simply the volume moved in a specific time; divide the volume by the time.
What does indepented variable mean?
Independent variable is one that does not vary with respect to other variables while other variables called the dependent variables varies with the variation of the independent variable. for ex: if 'x' is is an independent variable that represents say 'time' lets take another variable the dependent like volume(v) . now we say the volume (v) varies with respect to time and not the other way. so, here 'x' is independent variable & 'v' is dependent variable
What is another name for the third order deritative of displacement?
First derivative of displacement with respect to time = velocity. Second derivative of displacement with respect to time = acceleration. Third derivative of displacement with respect to time = jerk.
The major role of maintaining homeostasis with respect to the composition and volume of blood and body fluids is performed by the?
kidney
Why you should respect time?
you should respect time because even if you waste one second that second will never come back. don't waste time
Calculate volume flow rate?
This is the ratio volume/time.
How to show that the rate of change of the volume of a cube with respect to the length of its edges is equal to have the surface area of the cube?
If the length of an edge is x, the volume is x3 To find the rate of change of the volume with respect to x, differentiate: d(x3)/dx = 3x2 The area of one face is x2 There are six faces so the total surface area is 6x2 Therefore the rate of change of volume, 3x2 , is half of 6x2 , the surface area.
