anonymous
  • anonymous
Help!
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
What will be the perimeter and the area of the rectangle below if it is enlarged using a scale factor of 4.5? A rectangle is shown. The length of the rectangle is labeled as 8 cm, and the width is labeled as 6 cm. Perimeter = 46 cm, area = 131.25 cm2 Perimeter = 126 cm, area = 972 cm2 Perimeter = 46 cm, area = 972 cm2 Perimeter = 126 cm, area = 131.25 cm2 got anything?
welshfella
  • welshfella
use implicit differentiation
anonymous
  • anonymous
Is that when you set it equal to y and then derive it?

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welshfella
  • welshfella
find the derivative with respect to x term by term
anonymous
  • anonymous
So I would get 2x=lnxy first correct?
welshfella
  • welshfella
you treat y as a function of x
anonymous
  • anonymous
Im confused.
welshfella
  • welshfella
the 2x is correct but you use the Chain and product Rules to differentiate the right side
welshfella
  • welshfella
2x = (1/ (xy) * (x dy/dx + y) now you make dy/dx the subject
anonymous
  • anonymous
What do you mean by make it the subject? Like solve for that?
welshfella
  • welshfella
|dw:1435856245509:dw|
welshfella
  • welshfella
yes solve for dy/dx
anonymous
  • anonymous
Would it be 2x^2y=dy/dx?
welshfella
  • welshfella
dy/dx = y( 2x + 1/x)
welshfella
  • welshfella
sorry that's dy/dx = y (2x - 1/x)
anonymous
  • anonymous
Okay and then with that would I plug in the given values?
welshfella
  • welshfella
ckeck my algebra
welshfella
  • welshfella
yes plug in x = 1 and y = e
anonymous
  • anonymous
So it would just equal e correct?
welshfella
  • welshfella
dy/dx = e(2 - 1/e) = 2e - 1
anonymous
  • anonymous
You divided by e when you should divide by x, which is 1.
welshfella
  • welshfella
oh so I did!! your are correct its e
anonymous
  • anonymous
Okay thank you so much for you help!!!
welshfella
  • welshfella
yw

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