Solve the problem.The Redlich-Kwong equation provides an approximate model for the behavior of real gases. The equation is P(V, T) =  - , where P is pressure, V is volume, T is Kelvin temperature, and a,b , and R are constants. Find the partial 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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Use a trigonometric substitution to evaluate the integral.

A. tan-1   + C
B. sinh-1   + C
C. sin-1   + C
D. cosh-1   + C

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Complete the ordered pairs. Then graph the equation.y = 2x - 4(0, ), ( , 0), (2, )

A. (0, -4), (-2, 0), (2, -8)

B. (0, -4), (2, 0), (2, 0)

C. (0, 4), (-2, 0), (2, 8)

D. (0, -4), (-8, 0), (2, -3)

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Identify the following as a proper fraction, improper fraction, or a mixed number.

A. improper fraction B. proper fraction C. mixed number

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Given that the x- and y-coordinates of a moving particle are given by the indicated parametric equations, find the magnitude and direction of the acceleration for the specific value of t.x = 4t2 - 1, y = -2t2 - 6, t = 8

A. 8.94; 333.4° B. 8.94; 153.4° C. 71.55; 153.4° D. 71.55; 333.4°

Mathematics