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Chapter 14: Q. 55 (page 1134)

Let F be a vector field in R2or R3. Prove that div curlF = 0.

Short Answer

Expert verified

hfhf

Step by step solution

01

Step 1. Given Information

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Most popular questions from this chapter

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]

Compute dS for your parametrization in Exercise 7.

Compute dS for your parametrization in Exercise 9.

Give a formula for a normal vector to the surface S determined by y = g(x,z), where g(x,z) is a function with continuous partial derivatives.

Give a formula for a normal vector to the surface S determined by x = f(y, z), where f(y, z) is a function with continuous partial derivatives.
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