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shkspeare

wants 99uai
Joined
Jun 11, 2003
Messages
174
hi can some1 answer this for me

"The rectangle PQRS has two vertices on the X axis and two on the curve y=e<sup>-x<sup>2</sup></sup>. Find (a) the value of x for which the rectangle has a maximum area and (b) the maximum area of the rectangle"

the diagram is below

thx! =]
 

Affinity

Active Member
Joined
Jun 9, 2003
Messages
2,062
Location
Oslo
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HSC
2003
Hmm just a diffferentiation question

the area will equal 2 * x * e^(-x^2)

the answer should be x = (1/sqrt(2)) and area = sqrt(2/e)
 

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