Exam 13: Extension F: Vector Calculus

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Find the area of the surface S where S is the part of the surface Find the area of the surface S where S is the part of the surface   that lies inside the cylinder  that lies inside the cylinder Find the area of the surface S where S is the part of the surface   that lies inside the cylinder

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Find an equation of the tangent plane to the parametric surface represented by r at the specified point. Find an equation of the tangent plane to the parametric surface represented by r at the specified point.   ;  ; Find an equation of the tangent plane to the parametric surface represented by r at the specified point.   ;

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Find the area of the surface S where S is the part of the plane Find the area of the surface S where S is the part of the plane   that lies above the triangular region with vertices     ,and   that lies above the triangular region with vertices Find the area of the surface S where S is the part of the plane   that lies above the triangular region with vertices     ,and   Find the area of the surface S where S is the part of the plane   that lies above the triangular region with vertices     ,and   ,and Find the area of the surface S where S is the part of the plane   that lies above the triangular region with vertices     ,and

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Match the equation with one of the graphs below. Match the equation with one of the graphs below.

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Set up,but do not evaluate,a double integral for the area of the surface with parametric equations Set up,but do not evaluate,a double integral for the area of the surface with parametric equations

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