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The area is the sum of 'n' rectangle areas.
The width of the rectangle is size of interval, (domain size)/n
The height of each rectangle is f(interval) as interval moves along domain.
For this example, domain size = 3-1 = 2
size of interval = 2/n
height varies from f(1) to f(3), increasing by 2/n each time.
f(1+(2/n)i)
Putting this together, the area is the sum of:
Since you are given the function f(x). Sub input into f(x) to get area in terms of n and i.
Finally, the summation is:
The width of the rectangle is size of interval, (domain size)/n
The height of each rectangle is f(interval) as interval moves along domain.
For this example, domain size = 3-1 = 2
size of interval = 2/n
height varies from f(1) to f(3), increasing by 2/n each time.
f(1+(2/n)i)
Putting this together, the area is the sum of:
Since you are given the function f(x). Sub input into f(x) to get area in terms of n and i.
Finally, the summation is:
Let f(x)=0.
Using the zero-factor property, equate each factor to 0 and then solve for x.
Thus, the zeros of the given function are 6 and -5.
The zeros are the x-coordinate where the graph touches the x-axis.
Thus, the x-coordinates of where the graph touches the x-axis are -5, and 6.
