Calculus III - Surface Area (Practice Problems)

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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