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A campround coner has I50D m tencing. c wants toendsc a reonclar tield lbwsdhueng a ruer, wwh no heransalong river, Lckx', represent ,idth bf feld Llusa) wrte an expression for length of held as hinchin tFX) Find area of field (axw) as funchon of XcFind the value vf x leading to the mayimuna aread) Find the maximum area.

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A campround coner has I50D m tencing. c wants to
endsc a reonclar tield lbwsdhueng a ruer, wwh no herans
along river, Lckx', represent ,idth bf feld Llus
a) wrte an expression for length of held as hinchin tFX
) Find area of field (axw) as funchon of X
cFind the value vf x leading to the mayimuna area
d) Find the maximum area.
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A campround coner has I50D m tencing. c wants to endsc a reonclar tield lbwsdhueng a ruer, wwh no herans along river, Lckx', represent ,idth bf feld Llus a) wrte an expression for length of held as hinchin tFX ) Find area of field (axw) as funchon of X cFind the value vf x leading to the mayimuna area d) Find the maximum area.

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Step 1

Let x represents the width  and y represents the length of field. Since no fencing is required along  one side of rectangular field . Therefore we have expression for y as function of x as shown on board.

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Step 2

The expression for area as funtion of x is shown on board.

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Step 3

Now, we find the derivative of A with respect to x and the derivative+0 to get the value of x.Since at this value of x, double derivative of A ...

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Math

Calculus

Derivative

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