Solve the problem.In thermodynamics, the differential form of the internal energy of a system is dU = T dS - P dV, where U is the internal energy, T is the temperature, S is the entropy, P is the pressure, and V is the volume of the system. The First Law of Thermodynamics asserts that dU is an exact differential. Using this information, justify the thermodynamic relation 
= - 
.
What will be an ideal response?
Answers will vary.
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The function P, whose graph follows, gives the prime rate (the interest rate banks charge their best corporate customers) as a function of time for the first 32 wk during a year. Determine the values of t for which P is discontinuous.
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A. t = 11 B. t = 3, 2, 5 C. t = 8, 2, 5 D. t = 8, 16, 20
Determine the domain and range of the function.
A. domain: [0, ?); range: [0, ?) B. domain: [0, ?); range: [-3, ?) C. domain: (-?, ?); range: [-3, ?) D. domain: [0, ?); range: (-?, ?)
State whether the function is a polynomial function or not. If it is, give its degree. If it is not, tell why not.f(x) = x3/2 - x6 + 7
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Work the chain multiplication.(7)(6)(4)
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