The Riemann sum can be defined as the approximation of an integral by a finite sum, with one common application being the approximation of the area of a function or line on a graph. It can also be described as the length of curves as well as other approximations. Now, complete this quiz to better test your knowledge about this application.
By dividing the region up into shapes
By adding the different regions
By combining all the regions together
By adding the different shades
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2
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F(x)
The cumulus rule
The left Riemann rule
The parallel function
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The right Riemann shape
The right Riemann side
The right Riemann sum
The right Riemann shade
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That it is contained between the lower and upper Darboux sums
That it is contained between the lower and upper sums
That it is contained between the lower and upper Darboux functions
That it is contained between the lower and upper Darboux rules
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5
2
7
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That "R" is approximated by the value at the right endpoint
That "f" is approximated by the value at the right endpoint
That "f(x)" is approximated by the value at the right endpoint
That "x" is approximated by the value at the right endpoint
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That it amounts to an underestimation of "f" and that it is monotonically decreasing on a given interval
That it amounts to an overestimation of "f" and that it is monotonically decreasing on a given interval
That it amounts to an overestimation of "f" and that it is monotonically increasing on a given interval
That it amounts to an overestimation of "f" and that it is monotonically constant on a given interval
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A=1/2h (b1+ b2)
B= 1/2h (b1+b2)
A= 1/4 h (b1+b2)
A= 1/2b (b+b1)
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It is where in 2 dimensions, each cell can be interpreted as having an area denoted by △i
It is where in 2 dimensions, each cell can be interpreted as having an area denoted by f(x)
It is where in 2 dimensions, each cell can be interpreted as having an area denoted by △A
It is where in 2 dimensions, each cell can be interpreted as having an area denoted by △Ai
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