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 Optimization problem 
A rectangle is inscribed with its base on the xaxis and its upper corners on the parabola . What are the dimensions of such a rectangle with the greatest possible area?
 one year ago
 one year ago
 Optimization problem  A rectangle is inscribed with its base on the xaxis and its upper corners on the parabola . What are the dimensions of such a rectangle with the greatest possible area?
 one year ago
 one year ago

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MarcLeclairBest ResponseYou've already chosen the best response.0
oh sorry the parabola is y=5x^2
 one year ago

MarcLeclairBest ResponseYou've already chosen the best response.0
I was thinking find the 0 for the parabola, and because it touches the 2 upper part I get sqrt(5) and sqrt(5) being the length for y and I can ind the length in x because those 2 y are the distance between 2 cornor that is the length?
 one year ago

ChlorophyllBest ResponseYou've already chosen the best response.1
Since the rectangular inscribed in the parabola: it's length is symmetry x+ x => A = 2x y = 2x ( 5  x²)
 one year ago

MarcLeclairBest ResponseYou've already chosen the best response.0
oh. inscribed in, so i had it wrong... so you don't have any constraint in this problem...?
 one year ago

ChlorophyllBest ResponseYou've already chosen the best response.1
I think the range of parabola is the constraint, just get the concept first!
 one year ago

MarcLeclairBest ResponseYou've already chosen the best response.0
Well I usually go about these problem by finding my constraint then the equation I need to solve, but I couldn't do so. But when you say A=x(5x^2) and so I take the derivative of both side and I should get x(52x) + (5x^2) = A'(x) 5x2x^2+5x^2 3x^2+5x+5 and then use quadratic to find my x ?
 one year ago

ChlorophyllBest ResponseYou've already chosen the best response.1
A = 2x ( 5  x²) = 2x³ + 10x >A' = 6x² + 10 = 0 => x = √ 5/3
 one year ago

MarcLeclairBest ResponseYou've already chosen the best response.0
but wait, why did you mention x + x being symmetrical? and I asked about the constraint because, don't you need one to do an optimization problem?
 one year ago

ChlorophyllBest ResponseYou've already chosen the best response.1
Did you sketch the rectangular inscribes in the parabola, you'll see the constraint √ 5 ≤ x ≤ √5, 0 ≤ y ≤ 5
 one year ago
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