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There exists a non-constant real-valued function u in open set D which is analytic in D.true/false
 In Progress...
A real-valued function u in domain D cannot be analytic in D unless it is a constant function.true/false
 In Progress...
The mean value theorem of a real-valued function of a real variable does not hold in general for complex-valued functions
 In Progress...
A researcher is interested in comparing the Christian maturity level of students who volunteer for community service versus those who do not. The researcher assumes that those who perform community service will have higher Christian maturity scores. The maturity scores tend to be skewed (not normally distributed). Higher scores indicate higher Christian maturity.

No Community Service Community Service
32 47
40 48
54 59
13 72
20 80
26 55

a. What statistical test should be used to analyze these data?
b. Is this a one- or two- tailed test?
c. Identify H0 and Ha for this study
d. Conduct the appropriate analysis
e. Should H0 be rejected? What should the researcher conclude?
 In Progress...
prove that the fourth root of unity 1,-1,i,-i from an abelian multiplicative group.
 In Progress...
how to prove this equation A∩B⊂A⊂A⊂B
How many times more people live in Argentina than in Peru if Argentina has 1/10 of the population and Peru has 1/13 of population?
There is a non-trivial group homomorphism from $S3$ to $Z/3Z$.true/false with explaination