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Let = , = and

Question 43

Multiple Choice

Let Let = , = and = be sets of points in 3-space. Determine whether the set is a connected or a simply connected set. A) S<sub>1</sub> is simply connected. B) S<sub>2</sub> is not connected. C) S<sub>1</sub> is connected but not simply connected. D) S<sub>3</sub> is simply connected. E) S<sub>3</sub> is connected but not simply connected. = Let = , = and = be sets of points in 3-space. Determine whether the set is a connected or a simply connected set. A) S<sub>1</sub> is simply connected. B) S<sub>2</sub> is not connected. C) S<sub>1</sub> is connected but not simply connected. D) S<sub>3</sub> is simply connected. E) S<sub>3</sub> is connected but not simply connected. , Let = , = and = be sets of points in 3-space. Determine whether the set is a connected or a simply connected set. A) S<sub>1</sub> is simply connected. B) S<sub>2</sub> is not connected. C) S<sub>1</sub> is connected but not simply connected. D) S<sub>3</sub> is simply connected. E) S<sub>3</sub> is connected but not simply connected. = Let = , = and = be sets of points in 3-space. Determine whether the set is a connected or a simply connected set. A) S<sub>1</sub> is simply connected. B) S<sub>2</sub> is not connected. C) S<sub>1</sub> is connected but not simply connected. D) S<sub>3</sub> is simply connected. E) S<sub>3</sub> is connected but not simply connected. and Let = , = and = be sets of points in 3-space. Determine whether the set is a connected or a simply connected set. A) S<sub>1</sub> is simply connected. B) S<sub>2</sub> is not connected. C) S<sub>1</sub> is connected but not simply connected. D) S<sub>3</sub> is simply connected. E) S<sub>3</sub> is connected but not simply connected. = Let = , = and = be sets of points in 3-space. Determine whether the set is a connected or a simply connected set. A) S<sub>1</sub> is simply connected. B) S<sub>2</sub> is not connected. C) S<sub>1</sub> is connected but not simply connected. D) S<sub>3</sub> is simply connected. E) S<sub>3</sub> is connected but not simply connected. be sets of points in 3-space. Determine whether the set is a connected or a simply connected set.


A) S1 is simply connected.
B) S2 is not connected.
C) S1 is connected but not simply connected.
D) S3 is simply connected.
E) S3 is connected but not simply connected.

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