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. can either by horizontally simple or vertically simple. C. D. can be unbounded.

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
Chapter10: Analytic Geometry
Section10.1: The Rectangular Coordinate System
Problem 40E: Find the exact volume of the solid that results when the region bounded in quadrant I by the axes...
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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 simpe.
D. can be unbounded.
Transcribed Image Text: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 simpe. D. can be unbounded.
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
Transcribed Image Text: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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