15. To determine whether a continuous vector field is conservative or not, A. its corresponding first-order partial derivatives must be equal. B. it must be unbounded. C. it must be open. D. it must contain only interior points.

Calculus For The Life Sciences
2nd Edition
ISBN:9780321964038
Author:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Publisher:GREENWELL, Raymond N., RITCHEY, Nathan P., Lial, Margaret L.
Chapter9: Multivariable Calculus
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Multiple choice. choose the correct answer(s). If none is applicable then its NONE. Please also explain, if possible.

15. To determine whether a continuous vector field is conservative or not,
A. itscorresponding first-order partial derivatives must be equal.
B. it must be unbounded.
C. it must be open.
D. it must contain only interior points.
16. By inspection, a simply-connected and continuous region R
A. has no holes and is closed.
B. has a line integral around region R equal to the integral on the i direction.
C. can either by horizontally simple or vertically simple.
D. can be unbounded.
Transcribed Image Text:15. To determine whether a continuous vector field is conservative or not, A. itscorresponding first-order partial derivatives must be equal. B. it must be unbounded. C. it must be open. D. it must contain only interior points. 16. By inspection, a simply-connected and continuous region R A. has no holes and is closed. B. has a line integral around region R equal to the integral on the i direction. C. can either by horizontally simple or vertically simple. D. can be unbounded.
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