Solve the problem.Find the volume of the solid generated by revolving the region in the first quadrant bounded by the coordinate axes, the curve y = e-3x, and the line x = 6 about the y-axis.

A. ?(1 - 18 e-18)
B. ?(1 - 19 e-18)
C. - ?(1 + 19 e-18)
D. ?(1 - 17 e-18)


Answer: B

Mathematics

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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 =  + 

Mathematics

Solve for the unknown quantity. = 

A. p = 16 B. p = 1.6 C. p = 0.4 D. p = 16.9

Mathematics

Graph the system of inequalities, and find the coordinates of the vertices.3x + 2y ? -6  x - 1 ? 0

A.

B.

C.

D.

Mathematics

Find i (the rate per period) and n (the number of periods) for the loan at the given annual rate.Quarterly Payments of $3000 are made for 4 years to repay a loan at 10.2% compounded quarterly.

A. i = 0.0255; n = 16 B. i = 0.0255; n = 4 C. i = 0.102; n = 16 D. i = 0.006375; n = 4

Mathematics