Choose the correct answer/s. Choose E if none of the choices is correct.

Advanced Engineering Mathematics
10th Edition
ISBN:9780470458365
Author:Erwin Kreyszig
Publisher:Erwin Kreyszig
Chapter2: Second-order Linear Odes
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Choose the correct answer/s. Choose E if none of the choices is correct. 

12. If a curve C moves along the same path of the vector field,
A. then the line integral is negative.
B. then the line integral is positive.
C. then the work done in the force fieldis negative.
D. then the work done in the force field is positive.
Transcribed Image Text:12. If a curve C moves along the same path of the vector field, A. then the line integral is negative. B. then the line integral is positive. C. then the work done in the force fieldis negative. D. then the work done in the force field is positive.
11. In line integrals, if x(t) has a derivative equal to 0, with y'(t) and z'(t) not equal to 0,
A. then the line integral does not exist.
B. the resulting integrand will just become a pure function of y and z.
C. theresulting integrand will still be a function of x, y, and z.
D. x(t) must be a constant, other than 0.
Transcribed Image Text:11. In line integrals, if x(t) has a derivative equal to 0, with y'(t) and z'(t) not equal to 0, A. then the line integral does not exist. B. the resulting integrand will just become a pure function of y and z. C. theresulting integrand will still be a function of x, y, and z. D. x(t) must be a constant, other than 0.
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