Solve the problem.The Van der Waals 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: C

Mathematics

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Solve the problem.The library is to be given 5 books as a gift. The books will be selected from a list of 21 titles. If each book selected must have a different title, how many possible selections are there?

A. 20,349 B. 5.109094217e+19 C. 4.257578514e+17 D. 2,441,880

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Mathematics

Evaluate the integral.

A. - 
B.
C.  - 
D.  + 

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Mathematics

The Richter scale converts seismographic readings into numbers for measuring the magnitude of an earthquake according to this function M(x) = log , where xo = 10-3.What is the magnitude of an earthquake whose seismographic reading is 7.6 millimeters at a distance of 100 kilometers from its epicenter?

A. 0.38808 B. 3.8808 C. 2.0281 D. 0.20281

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Mathematics

Provide an appropriate response.True or false? If a fraction with denominator  must be written as an equivalent fraction with denominator  then the original fraction must be multiplied by  in both the numerator and the denominator.

A. True B. False

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Mathematics