marigirl
  • marigirl
Differentiate with respect respect to w 4r^2=l^2+w^2
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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schrodinger
  • schrodinger
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marigirl
  • marigirl
I understand the right side will be \[ = 2l \frac{ dl }{ dw }+2w\] the left side shown to be zero in my model answers.. plz help
marigirl
  • marigirl
@IrishBoy123
anonymous
  • anonymous
is it given that L is a function of w, is r a constant?

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marigirl
  • marigirl
im trying to figure out the maximum area of a rectangle inside a circle. so the above equation was used to express the radius
marigirl
  • marigirl
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marigirl
  • marigirl
now that i think of it, yes r is a constant i guess becuase i am after the maximum l and w in order to get the maximum area...
anonymous
  • anonymous
yes radius is a constant in this problem, length and width are variables . that is why you have 0 when you take derivative of r^2
phi
  • phi
***im trying to figure out the maximum area of a rectangle inside a circle*** if you allowed "r" to vary, then you are changing the circle (i.e. its size) and the problem makes no sense: what is the biggest rectangle I can put in a circle, if I am allowed to change the size of the circle? It makes more sense to ask the question: what is the biggest rectangle I can put in a circle that has a *fixed radius* r? in other words, we should treat r as a constant in this problem.
marigirl
  • marigirl
Thank you!

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