Rewrite the expression using a radical. 1 8 256 = (Do not evaluate.)
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The average rate of change of a function f(x) over an interval (a, b) is given by
Therefore, given a function, f(x), over an interval (2, 9), the average rate of change of the function can be found using the expression
Therefore, given a function, f(x), over an interval (2, 9), the average rate of change of the function can be found using the expression
For the largest area, half the fence is used parallel to the river, and the other half is used for the two ends of the rectangular space.
The dimensions are 475 m by 237.5 m.
_____
Let x represent the length along the river. Then the area (A) is found as
.. A = x*(950 -x)/2
This equation describes a parabola with its vertex (maximum) halfway between the zeros of x=0 and x=950. That is, the maximum area is achieved when half the fence is used parallel to the river.
The dimensions are 475 m by 237.5 m.
_____
Let x represent the length along the river. Then the area (A) is found as
.. A = x*(950 -x)/2
This equation describes a parabola with its vertex (maximum) halfway between the zeros of x=0 and x=950. That is, the maximum area is achieved when half the fence is used parallel to the river.