Question

1-12 Find the area of the surface. 1. The part of the plane $z = 2 + 3x + 4y$ that lies above the rectangle $[0, 5] imes [1, 4]$ 2. The part of the plane $2x + 5y + z = 10$ that lies inside the cylinder $x^2 + y^2 = 9$ 3. The part of the plane $3x + 2y + z = 6$ that lies in the first octant 4. The part of the surface $z = 1 + 3x + 2y^2$ that lies above the triangle with vertices $(0, 0)$, $(0, 1)$, and $(2, 1)$ 5. The part of the cylinder $y^2 + z^2 = 9$ that lies above the rect- angle with vertices $(0, 0)$, $(4, 0)$, $(0, 2)$, and $(4, 2)$ 6. The part of the paraboloid $z = 4 - x^2 - y^2$ that lies above the $xy$-plane 7. The part of the hyperbolic paraboloid $z = y^2 - x^2$ that lies between the cylinders $x^2 + y^2 = 1$ and $x^2 + y^2 = 4$

          1-12 Find the area of the surface.
1. The part of the plane $z = 2 + 3x + 4y$ that lies above the
rectangle $[0, 5] 	imes [1, 4]$
2. The part of the plane $2x + 5y + z = 10$ that lies inside the
cylinder $x^2 + y^2 = 9$
3. The part of the plane $3x + 2y + z = 6$ that lies in the
first octant
4. The part of the surface $z = 1 + 3x + 2y^2$ that lies above
the triangle with vertices $(0, 0)$, $(0, 1)$, and $(2, 1)$
5. The part of the cylinder $y^2 + z^2 = 9$ that lies above the rect-
angle with vertices $(0, 0)$, $(4, 0)$, $(0, 2)$, and $(4, 2)$
6. The part of the paraboloid $z = 4 - x^2 - y^2$ that lies above
the $xy$-plane
7. The part of the hyperbolic paraboloid $z = y^2 - x^2$ that lies
between the cylinders $x^2 + y^2 = 1$ and $x^2 + y^2 = 4$

1-12 Find the area of the surface.
1. The part of the plane z = 2 + 3x + 4y that lies above the
rectangle [0, 5] imes [1, 4]
2. The part of the plane 2x + 5y + z = 10 that lies inside the
cylinder x^2 + y^2 = 9
3. The part of the plane 3x + 2y + z = 6 that lies in the
first octant
4. The part of the surface z = 1 + 3x + 2y^2 that lies above
the triangle with vertices (0, 0), (0, 1), and (2, 1)
5. The part of the cylinder y^2 + z^2 = 9 that lies above the rect-
angle with vertices (0, 0), (4, 0), (0, 2), and (4, 2)
6. The part of the paraboloid z = 4 - x^2 - y^2 that lies above
the xy-plane
7. The part of the hyperbolic paraboloid z = y^2 - x^2 that lies
between the cylinders x^2 + y^2 = 1 and x^2 + y^2 = 4

Added by Jacqueline C.

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