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Chapter 14: Q. 8 (page 1106)

For each integral in Exercises 5鈥�8, give the vector field that is being integrated.

鈭�Cxyzdx+sin(zy)dy+(z鈭�x)dz

Short Answer

Expert verified

The vector field that is being integrated is F(x,yz)=xyzi+sin(zy)j+(z鈭�x)k.

Step by step solution

01

Step 1. Given Information

For given integral in exercises we have to give the vector field that is being integrated.

鈭�Cxyzdx+sin(zy)dy+(z鈭�x)dz

02

Step 2. We have to find the vector field that is being integrated.

The given integration is

鈭�Cxyzdx+sin(zy)dy+(z鈭�x)dz

So the vector field should be

localid="1650895401912" F(x,yz)=xyzi+sin(zy)j+(z鈭�x)k

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Most popular questions from this chapter

ComputethedivergenceofthevectorfieldsinExercises17鈥�22.G(x,y)=xcos(xy),ycos(xy)

Find the work done by the vector field

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in moving an object around the unit circle, starting and ending at (1,0).

fx,y,z=1xlnz+2y, where Sis the surface given by ru,v=2ui+u+vj+2u-2vkfor 3鈮�u鈮�7and2鈮�v鈮�10.

Find the flux of the given vector field through a permeable membrane described by surface S.

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Find the areas of the given surfaces in Exercises 21鈥�26.

S is the portion of the surface parametrized by r(u,v)=(3u-v,v+u,v-u) whose preimage (the domain in the uv-plane) is the unit square [0,1]脳[0,1]
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