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Section 15.9 : Surface Area
- Determine the surface area of the portion of \(2x + 3y + 6z = 9\) that is in the 1st octant. Solution
- Determine the surface area of the portion of \(z = 13 - 4{x^2} - 4{y^2}\) that is above \(z = 1\) with \(x \le 0\) and \(y \le 0\). Solution
- Determine the surface area of the portion of \(\displaystyle z = 3 + 2y + \frac{1}{4}{x^4}\) that is above the region in the \(xy\)-plane bounded by \(y = {x^5}\), \(x = 1\) and the \(x\)-axis. Solution
- Determine the surface area of the portion of \(y = 2{x^2} + 2{z^2} - 7\)that is inside the cylinder \({x^2} + {z^2} = 4\). Solution
- Determine the surface area region formed by the intersection of the two cylinders \({x^2} + {y^2} = 4\) and \({x^2} + {z^2} = 4\). Solution