Quadratic surfaces:
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Intersection of surfaces:
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Webwork 14.1 Problem 12:
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Contour:
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Limit:
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Gradient:
2D
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3D
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Second derivative test:
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Global extrema:
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Global extrema:
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Optimization:
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Lagrange multipliers with one constraint:
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Lagrange multipliers with two constraints:
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Webwork 15.3 Problem 6:
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Volume as double integral or triple integral:
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Square to parallelogram:
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Cylindrical to rectangular:
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Spherical to rectangular:
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Centroid of solid paraboloid:
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Centroid of semicircle wire (line integral of scalar field):
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Line integral of vector field:
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Flux and circulation density 2D:
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div rot:
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Surface integral of scalar field:
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Surface area of sphere:
- rectangular
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- cylindrical
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- spherical
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Flux density 3D:
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Surface area of triangle:
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Centroid of surface of hemisphere:
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Flux through surface of paraboloid:
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Flux through surface of cone:
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Green:
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Stokes on hemisphere:
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Gauss on cylinder:
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