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Mathematically, the area underneath the graph of a curve is the value you get by integrating that curve. From classical mechanics, one knows that the integral of an object's velocity with respect to time gives you that object's position as a function of time. Thus, the area underneath the velocity time graph from one point in time to another is the change in position of that object between those two times or, it's distance traveled.
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The area under the normal curve is greatest in which scenario?
The area under the normal curve is ALWAYS 1.
What is the explanation for the area under the curve?
In statistics you can find the area under a curve to establish what to expect between two input numbers. If there is a lot of area under the curve the graph is tall and there is a higher probability of things occurring there than when the graph is low.
How does surface area affect the cooling curve?
put it in the fridge
How integration is continuous summation?
Well look at it this way. To find the exact area under a curve between two points (call them a and b), one can find the definite integral between the points. But we could also find it approximately.Let a=(x1, y1) and b=(x2, y2). Let f be the function that the curve represents. So the point a=(x1,y1) on the curve represents the same thing as f(x1)=y1, that is applying function f to x1 to get result y1.Now we can also say that at x1 the curve has height y1. This is good for our area problem because we know how that for a rectangle, area = height multiplied by width. A width will just be a difference in x value.The horizontal distance between a and b is a width, = x2-x1. Can we just multiply the height by this width? Not really, because for any curve that isn't a straight horizontal line, the height will vary along that width, and so it isn't a rectangle.But what if we divided up the area under the curve into thin vertical strips with equal width? Then these strips would almost be rectangles, so we could find the area of all of them individually and then add them to get a good approximation to the area. This is where the summation comes in.Think of it another way. You have a curve graphed on a computer monitor. How would you calculate the area underneath it in pixels (dots on the computer screen)? Perhaps the most obvious way is to start at the first pixel of the curve and count how many pixels are underneath it, then do that for each pixel of the curve, adding up all the counts.If we assume the curve is smooth, then the thinner we make the strips, the better the approximation is. Smooth means that if the more we zoom on a section of the curve, the more it appears to be a straight line. If it does appear that way then we can get the exact area by a triangle on top a rectangle. But we can ignore the area of the triangle because it will be vanishingly small because we have zoomed in so much.In fact if we take it to the limit of an arbitrarily thin strip, we will get the integral and an exact answer to the area under the curve problem. It is said to be a continuous summation because it is summing the area in the way just described, and is continuous in that it is smooth, not chunky and blocky like with strips of definite thickness.This concept of a limit of arbitrary smallness is the hardest concept to grasp in the calculus, but once you get it, you can understand all of the calculus with an ease you wouldn't have thought possible at first. Then it is just a matter of practice and memorizing to get good at it.
What area is to the left of z equals -2.37 under that standard normal curve?
The area is 0.008894
What is the area underneath curve for chi-square distribution?
1. It is a probability distribution function and so the area under the curve must be 1.
What does The area under the force vs displacement curve represent?
Work done by the force.
How does 1 sigma represent 68.8 percent of the total area under a normal curve?
1 sigma does not represent 68.8 percent of anything.The area under the standard normal curve, between -0.5 and +0.5, that i, the central 1 sigma, is equal to 0.68269 or 68.3%.
What is the significance of the area under the curve on a current v voltage graph?
This value would represent the value for Power
Is in the normal distribution the total area beneath the curve represent the probability for all possible outcomes for a given event?
Yes. The total area under any probability distribution curve is always the probability of all possible outcomes - which is 1.
Do all solutions to each equation represent the length of side of the square?
Of course not! The solution to some equations could represent the area under a curve, or the volume of some shape, or the rate of change in something.
What does the area under a resoruce depletion curve represent?
to tell you the truth i don't know answer.com don't give you the answers you need like ,<duhh>
He area under the standard normal curve is?
The area under the standard normal curve is 1.
What is the total area under the normal distribution curve?
The area under the normal distribution curve represents the probability of an event occurring that is normally distributed. So, the area under the entire normal distribution curve must be 1 (equal to 100%). For example, if the mean (average) male height is 5'10" then there is a 50% chance that a randomly selected male will have a height that is below or exactly 5'10". This is because the area under the normal curve from the left hand side up to the mean consists of half of the entire area of the normal curve. This leads us to the definitions of z-scores and standard deviations to represent how far along the normal curve a particular value is. We can calculate the likelihood of the value by finding the area under the normal curve to that point, usually by using a z-score cdf (cumulative density function) utility of a calculator or statistics software.
What I helps you to find the area under the curve?
If this is on mymaths.co.uk then the answer to this question is: Integration. That is how to find the area under the curve.
The area under the normal curve is greatest in which scenario?
The area under the normal curve is ALWAYS 1.
What wii be the area under the curve of a force - displacement curve?
WORK
