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Luigi0210
 3 years ago
A rectangle is bounded by the x and y axes and the graph of the line y= (1/2)x+3.
What length and width should the rectangle have so its area is maximum?
Luigi0210
 3 years ago
A rectangle is bounded by the x and y axes and the graph of the line y= (1/2)x+3. What length and width should the rectangle have so its area is maximum?

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Luigi0210
 3 years ago
Best ResponseYou've already chosen the best response.4dw:1359921377233:dw

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0base of rectangle will be \(x\) and height will be \(\frac{1}{2}x+3\) so area is \[A(x)=x(\frac{1}{2}x+3)=\frac{1}{2}x^2+3x\]\]

anonymous
 3 years ago
Best ResponseYou've already chosen the best response.0max will be at the vertex, which is at \(\frac{b}{2a}=3\)

Elsa213
 2 years ago
Best ResponseYou've already chosen the best response.0oooo a year later c: Heyo humans :D
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