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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Refer to this figure to decide whether the statement is true or false. 
is parallel to 
.
A. True B. False
Evaluate the expression for the given values. Expression your answer as a fraction unless otherwise indicated.
x = 6, y = 4
A. 
B. 
C. 
D. 
Find an equation for the line, in the indicated form, with the given properties. Containing the points (6, -8) and (0, 3); general form
A. -11x + 6y = 18 B. -14x + 3y = -9 C. 14x - 3y = -9 D. 11x + 6y = 18
Use transformations to graph the function. Determine the domain, range, and horizontal asymptote of the function.f(x) = -2x+3 + 4
A. domain of f: (-?, ?); range of f: (-4, ?);
horizontal asymptote: y = 4
B. domain of f: (-?, ?); range of f: (-?, -4);
horizontal asymptote: y = -4 
C. domain of f: (-?, ?); range of f: (-?, -4);
horizontal asymptote: y = -4
D. domain of f: (-?, ?); range of f: (-?, 4);
horizontal asymptote: y = 4