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Mathematics 17 Online
OpenStudy (anonymous):

consider all rectangles that can be inscribed by the curve x=0, y=0, and y=1-vt. What value(s) of t (if any) will yield the rectangles of largest and smallest area?

OpenStudy (anonymous):

Is \(v\) constant, and is \(t\) the independent variable?

OpenStudy (anonymous):

im sorry its square root of t

OpenStudy (anonymous):

y = 1 - sqrt t

OpenStudy (anonymous):

Alright. What about the \(x=0\) part? Should that be \(t=0\)?

OpenStudy (anonymous):

no its x = 0

OpenStudy (anonymous):

My point is that you can't plot some function of \(t\) in the \(x,y\)-plane unless you have a set of parametric equations with parameter \(t\). So either the question means \(t=0\) or \(y=1-\sqrt x\).

OpenStudy (anonymous):

hmm...

OpenStudy (anonymous):

In any case, the situation looks like this, with one such inscribed rectangle: |dw:1405055944968:dw|

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