Chapter 14: Q. 9 (page 1095)
What is the difference between the graphs of
Short Answer
The difference between the graphs are .
Chapter 14: Q. 9 (page 1095)
What is the difference between the graphs of
The difference between the graphs are .
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Get started for freeIf curl is constantly equal to on a smooth surface with a smooth boundary curve , then Stokes’ Theorem can reduce the integral for the surface area to a line integral. State this integral.
Find the areas of the given surfaces in Exercises 21–26.
Sis the portion of the surface determined by that lies on the positive side of the yzplane (i.e., where )
Use the same vector field as in Exercise 13, and compute the k-component of the curl of F(x, y).
Find the integral of on the portion of the unit sphere that lies in the first octant, above the rectangle in the XY-plane.
Find the work done by the vector field
in moving an object around the periphery of the rectangle with vertices , and , starting and ending at .
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