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5. The proof of the FToLI [Fundamental Theorem of Line Integrals) used which of the following? You may select one or more answers. Fundamental Theorem

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5.

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The proof of the FToLI [Fundamental Theorem of Line Integrals) used which of the following? You may select one or more answers. Fundamental Theorem of Calculus Chain Rule for Multivariable Functions 0 Squeeze Theorem C] Green's Theorem C] Intermediate Value Theorem C] Absolute Value Theorem [:1 Product Rule for derivatives To use a double integral to calculate the surface area of a surface z=f(x,y), what is the integrand to be used (what function goes inside the integral)? O V ( for ) ? + ( fu ) 2 + 1 0 ( fac ) ? + ( fu ) ? OV( fi ) 2 + ( fu )? of (x, y)You are asked to evaluate the surface area of the triangular portion of the plane 2x + 5y - z = 6 in the first octant. If the projection is on the xy-plane, which of the following would be the integrand (function inside the double integral)? O None of these. O sqrt(29) O V4x2 + 2592 + 1 O sqrt(30) O 1 O sqrt(8) O sqrt(7)2 To nd the surface area of the part of the paraboloid z 2 9 7 :1: 7 :92 above the plane 2: : 5, what would be the projection region (region of integration) on the xy-plane? O A disk of radius 4. O A triangular region. 0 A disk of radius 14 (Q A disk of radius 2. O A disk of radius 3. Finding the surface area of a surface is equivalent to finding the volume of the solid/region bounded by the surface. O True O False

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