This is the second time I'm paying for help on this question as thefirst response seemed to have made a mistake.

"Cylinder Pressure Problem"

(1) Solve for V using dP/dV
(2) Set dP/dV=0 and solve for variable V

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sarasafar552Lv2

31 Jul 2023

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Related questions

Q1) If gas in a cylinder is maintained at aconstant temperature T, the pressure P is related to the volume bya formula of the form

\(P=\frac{nRT}{V-nb}-\frac{an^2}{V^2}\)

(a) in which a, b, n, and R are constants. Find dP/dV.

(b) Now suppose temperature is not constant and that T, P, and Vare functions of time t. Find dP/dt.

(c) Describe in words the meanings of dP/dV anddP/dt.

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Q2) Let f be a function such that f has critical pointsat x=-1,1, and 2. Suppose f' has a critical point at 0 and 2.f''(x) > 0 on (0,infinity), also f'' is not defined at 2, andf''<0 for negative x. Lastly, suppose f(2)=0, but f also has onepositive and one negative critical value. Sketch a graph off.

(draw a graph)

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