Find the work done by the vector field f~ = x 2y~i + 1 3 x 3~j + xy~k along the curve of intersection c of the paraboloid z = y 2 − x 2 and the cylinder x 2 + y 2 = 1, oriented counterclockwise as viewed from the above.

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A3-dimensional figure has a square base and 4 lateral faces that meet at a point. explain the difference between the cross sections when a slice is made perpendicular to the base through the vertex, and when a slice is made perpendicular to the base and not through the vertex

Frank is lending $1,000 to sarah for two years. frank and sarah agree that frank should earn a real return of 4 percent per year. instructions: a. the cpi (times 100) is 100 at the time that frank makes the loan. it is expected to be 113 in one year and 127.7 in two years. what nominal rate of interest should frank charge sarah?