Simplify the expression. Assume that all variables are positive when they appear.

A. 7xy
B. 7xy
C. 2xy
D. 7xy


Answer: A

Mathematics

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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 = 

Mathematics

Reverse the order of integration and then evaluate the integral.

A. ln 5 - 1
B.
C. ln 5
D.

Mathematics

Solve the problem.Junior high classes of 25 students each met in the cafeteria to take achievement tests. If exactly 8 students sat at each table and 25 tables were used, how many classes took the tests?

A. 10 classes B. 8 classes C. 11 classes D. 21 classes

Mathematics

Determine whether the graph is that of a function. If it is, use the graph to find its domain and range, the intercepts, if any, and any symmetry with respect to the x-axis, the y-axis, or the origin.

A. function domain: all real numbers range: {y|y ? 9} intercepts: (0, -2), (8, 0), (0, 4) symmetry: none B. function domain: all real numbers range: {y|y ? 9} intercepts: (-2, 0), (0, 8), (4, 0) symmetry: none C. function domain: {x|x ? 9} range: all real numbers intercepts: (-2, 0), (0, 8), (4, 0) symmetry: y-axis D. not a function

Mathematics