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: C
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Provide an appropriate response.Obtain the first nonzero term of the Maclaurin series for 
.
A. 
B. - 
C. - 
D. 
Solve the problem.A ball is thrown downward with an initial velocity of 28 meters per second from a cliff that is 
high. The height of the ball is given by the quadratic equation 
where h is in meters and t is the time in seconds since the ball was thrown. Find the time that the ball will be 
from the ground. Round your answer to the nearest tenth of a second.
A. 1.1 seconds B. 2.2 seconds C. 1.2 seconds D. 1.3 seconds
The game of pool uses 15 balls numbered from 1 to 15 (see the figure below). In the game of rotation, a player attempts to "sink" a ball in a pocket of the table and receives the number of points on the ball. Suppose we consider a game of "super pool", which has 19 consecutively numbered balls on the table. How many points would a player receive to "run the table"?
?
?
A. 19 B. 420 C. 210 D. 190 E. 171
Use Lagrange multipliers to find the minimum distance from the circle 
to the point 
. Round your answer to the nearest tenth.
?
A. 13.2 B. ?160.0 C. ?173.7 D. ?10.8 E. ?116.8