anonymous
  • anonymous
The width of a rectangle increases at 2 cm/s, while the length decreases at 3cm/s. How fast is the area of the rectangle changing when the width equals 20 cm and the length equals 50cm?
Mathematics
schrodinger
  • schrodinger
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amistre64
  • amistre64
A = l*w dA = l dw + w dl dw = 2 ; dl = -3
amistre64
  • amistre64
dA = 50(2) + 20(-3) dA = 100 -60 = 40 cm^2 / sec
amistre64
  • amistre64
a square is the biggest area, so until it reaches that point, it increases i think

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