lgg23
  • lgg23
Sketch the region enclosed by x+y^2=20 and x+y=0. Decide whether to integrate with respect to x or y. Then find the area of the region.
Mathematics
  • Stacey Warren - Expert brainly.com
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SOLVED
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katieb
  • katieb
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anonymous
  • anonymous
the first equation is that of a parabola opening to the left. the other is a line. the region enclosed by these two graphs is better obtained by integrating with respect t y because the length of your representative rectangle is obtained by subtracting the right function - left function.
.Sam.
  • .Sam.
1 Attachment
.Sam.
  • .Sam.
Integrate with respect to y

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.Sam.
  • .Sam.
\[ \int\limits_{-4}^{5}(20-y^2)~dy-\int\limits_{-4}^{5}(-y)~dy\]
.Sam.
  • .Sam.
\[A=121\frac{1}{2}\]

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