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Q: Is the quantity represented by x is a function that changes over time ie is not constant true or false?
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Continue Learning about Calculus

Which quantity is the rate at which velocity changes?

Acceleration


Define a specific rate constant?

The specific rate constant a proportionally determined constant that is usually different for various reactions with changes in temperature.


What is meant by negative gradient of a quantity?

The gradient of a quantity is the greatest rate at which it changes as you move in different directions from where you are now. If the quantity has a negative gradient, that means that the quantity decreases in that direction. A great example of a negative gradient is the elevation of the land at a point on a road that has a hill on one side and a cliff on the other side. The greatest rate at which the elevation changes is in the direction off the edge of the cliff, and it's negative in that direction.


What does c equal?

In math, a number signified by "C" is a constant number. A constant is the opposite of a variable. While a variable changes, a constant will always stay the same. For example, in the equation y = 4x + 10, 10 is a constant. If you did not know the value of 10 (for example, if you had just integrated), it could be written as y = 4x + c.


Why is it important to add the constant of integration immediately when the integration is performed?

When you do an integration, you are (implicitly or explicitly) recognizing that what you are integrating is a "rate of change". Your integration over a particular interval provides you with the answer to the question "what is the total change over this interval?". To get the total value of this quantity you must add the initial amount or value. That is represented by the constant of integration. When you integrate between specific limits and you are asking the question "how much is the total change" the initial value is not needed, and in fact does not appear when you insert the initial and final values of the variable over which you are integrating. So you must distinguish between finding the total change, or finding the final value. Re-reading this, I could have been a bit clearer. I'll give an example. Suppose something is accelerating at a constant acceleration designated by "a". Between the times t1 and t2 the velocity changes by a(t2-t1) which you get by integrating "a" and applying the limits t2 and t1. But the change in velocity is not the same as the velocity itself, which is equal to the initial velocity, "vo", plus the change in velocity a(t2-t1). This shows that the integral between limits just gives the accumulated change. but if you want the final VALUE, you have to add on the initial value. You might see a statement like "the integral of a with respect to time, when a is constant is vo + at ". You can check this by differentiating with respect to t, and you find the constant vo disappears. In summary, the integral evaluated by simply applying the limits gives the accumulated change, but to get the final value you have to add on the pre-existing value, and in this context the pre-existing value also carries the name of "constant of integration".

Related questions

Name the quantity that essentially changes when a body moves?

A moving body can be broken into the factors of mass and velocity. Momentum is the quantity that changes as velocity increases or decreases, assuming mass is held constant.


What is the difference between constants and variables?

A variable is a quantity which changes its value through out the program or its lifetime. But a constant is a quantity which does not change its value through out its life time. There are 5 basic constants.


What is the derivative of just a constant?

0 A derivative is the rate of change of a function as another variable changes. As there is no change to a constant, the derivative is necessarily 0.


What is temperature co-efficiant?

It means how much some quantity (for example, electrical resistance) changes as a function of temperature.


What is temperature co-efficient?

It means how much some quantity (for example, electrical resistance) changes as a function of temperature.


Is mass classified as a vector quantity or a scalar quantity?

Mass is a scalar quantity, because it is a constant value no matter where you are, no matter what direction you are heading. Your mass on Earth will be equal to than on Jupitor or in space in general, the weight is the one that changes. (vector)


What are the effects of changes in temperature volume pressure or quantity on an ideal gas?

The relation is decribed by the law of Clapeyron: pV= nRT where - p is the pressure - V is the volume n is the quantity of material - R is the gas constant - T is the temperature


Why are the y-values of an exponential growth function either always greater than or less than the asymptote of the function?

The exponential function is always increasing or decreasing, so its derivative has a constant sign. However the function is solution of an equation of the kind y' = ay for some constant a. Therefore the function itself never changes sign and is MORE?


Is this a function y equals x?

Yes, y =5 is a constant function. Meaning that for any value of x (in the domain), the value of the function (y) is 5. The graph would be a horizontal line five units above, but parallel to, the x-axis. Another answer: The above comments are only valid if we specify that x is just some constant. In general, however, when we refer to the function y=f(x)=x we do not mean a constant function, but rather a diagonal line running through the origin. The function would be a constant function if it were y=f(x)=c for some c, but normally when we write y=x we mean that the value of y is the value of x, and hence y changes as x changes.


What changes as an object moves with a constant acceleration?

During constant acceleration, either the object's speed changes at a constant rate, or the direction of its motion changes at a constant rate, or both.


A quantity that varies or changes?

variable


What changes the equilibrium quantity to change?

It changes when the market demand and or market supply changes.