- #1
HermitOfThebes
- 25
- 0
Homework Statement
Sketch the region defined by: y ≤ x^2 and 4 ≥ y ≥ 0 and y ≥ 2x − 4. Evaluate the area defined by the above inequalities.
Homework Equations
The Attempt at a Solution
I have already plotted the positive part and found the area. However, the negative part seems to be infinite. I am required to find the area, surely it's not infinite then.
The area under x^2 in the negative part, above 0, below 4 and above the line is an infinite rectangle starting from x=-2 and stretching to negative infinity. What am I doing wrong?
Here's a diagram: http://www.quickmath.com/webMathema...=y>+2x-4&v7=x&v8=y&v9=-10&v10=10&v11=-6&v12=6