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.
F(x)
The cumulus rule
The left Riemann rule
The parallel function
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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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1
4
5
2
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The right Riemann shape
The right Riemann side
The right Riemann sum
The right Riemann shade
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4
5
2
7
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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 â–³i
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 â–³A
It is where in 2 dimensions, each cell can be interpreted as having an area denoted by â–³Ai
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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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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