In the boxes provided, Define, in your own words, the term (1-2 sentences) Explain how each of these terms is reflected in some way during the period of the American Revolution (2-3 sentences each). Don't forget to write professionally and proofread your written work before you submit it. Running a spell checker will help, but it is not a substitute for rereading your work. Your work should be in sentence/paragraph format and be free of spelling, punctuation, capitalization, and/or grammar errors. Item- Define Each What role did this concept play in the American Revolution? Federalism Republicanism Social compact (also knowa as social contract) Popular sovereignty Individual rights

David consumes two things: gasoline (g) and bread (b). david's utility function is u(g, b) = 10g^0.25 b^0.75. use the lagrange technique to solve for david's optimal choices of gasoline and bread as a function of the price of gasoline, p_g, the price of bread, p_b, and his income m. with recent decrease in the price of gasoline (maybe due to external shock such as shale gas production) does david increase his consumption of gasoline? for david, how does partial differential g/partial differential p_g depend on his income m? that is, how does david's change in gasoline consumption due to an increase in the price of gasoline depend on his income level? to answer these questions, find the cross-partial derivative, |partial differential^2 g/partial differential m partial differential p_g.