Chapter 11 Multiple choice questions

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. Which of the following is not true about line integrals?

They give the sum of a quantity calculated along a path. correct incorrect

Calculating the total length of a path is an example of a line integral. correct incorrect

Calculating the work done in moving against a force is an example of a line integral. correct incorrect

The value of a line integral always depends on the details of the path. correct incorrect

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. Which of the following is not consistent with P(x,y) dx + Q(x,y) dy being an exact differential?

A function F(x,y) exists such that dF = P(x,y) dx + Q(x,y) dy. correct incorrect

(∂P/∂x)_y = (∂Q/∂y)_x. correct incorrect

The integral of P(x,y) dx + Q(x,y) dy along a path depends only on its start and end points. correct incorrect

The integral of P(x,y) dx + Q(x,y) dy along a closed path is zero. correct incorrect

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