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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Read and solve the following problem. Then write a paragraph describing the method you used to get your solution.Which problem-solving strategy(s) did you use and why?

How many triangles of all sizes are there in the figure below?

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Rationalize the denominator. - 

A. - 
B. - 
C. - 
D. - 

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Find one solution graphically and then find the remaining solutions using synthetic division.6x3 + 22x2 + 10x - 6 = 0

A. -1, - 3, 
B. , , - 3
C. - , - 3, 
D. -1, , 3

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Solve the problem. Assume that the minimum payment on a credit card is the greater of $27 or 3% of the unpaid balance.Find the minimum payment on an unpaid balance of $1456.38.

A. $27.00 B. $48.69 C. $436.91 D. $43.69

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Mathematics