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.

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Chapter2: Second-order Linear Odes
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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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