Find the values of c such that the area of the region bounded by the parabolas 
is 
.
Definitions:
Milgram Experiment
A psychological experiment conducted by Stanley Milgram in the 1960s to study obedience to authority, where participants were instructed to administer electric shocks to another person.
Stanford University Prison Experiment
A psychological study conducted by Philip Zimbardo in 1971 at Stanford University, where students were assigned roles of prisoners and guards to explore the effects of perceived power.
Generalization
Drawing a conclusion about a certain characteristic of a population based on a sample from it.
Logical Support
The provision of reasons or evidence to justify a claim or argument.
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