Solve the problem.The Redlich-Kwong equation provides an approximate model for the behavior of real gases. The equation is  where P is pressure, V is volume, T is Kelvin temperature, and a,b , and R are constants. Find the derivative of the function with respect to each variable.

A. PV =  + ; PT = -  + 
B. PV =  - ; PT =  + 
C. PV =  + ; PT =  - 
D. PV =  - ; PT =  + 


Answer: B

Mathematics

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Write a chain rule formula for the following derivative. for w = f(p, q, r); p = g(t), q = h(t), r = k(t)

A.  =    +   +  
B.  =   +   +  
C.  =   +  + 
D.  =    +   +  

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Graph the given function as a solid line (or curve) and its inverse as a dashed line (or curve) on the same set of axes.f(x) = -5x

A.

B.

C.

D.

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Solve the nonlinear system of equations.x2 - y2 = 39x - y = 3

A. {(8, -5)} B. {(-8, -5)} C. {(8, 5)} D. {(-8, 5)}

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Solve the problem.Find the area of the shaded triangle. Note it has its base on one of the axes. The area of a triangle is one-half, times its altitude, times the length of its base.  

A. 30 sq. units B. 15 sq. units C. 8 sq. units D. 5 sq. units

Mathematics