Solve the problem.The Ideal Gas Law states that the pressure P of a gas obeys the function  where n is the number of particles in the sample, T is the Kelvin temperature of the gas, V is the volume of the gas in liters, and k is the constant 1.38 × 10-23. Does the pressure have a local minimum along the line    If so, what is the value of the

minimum pressure? Give reasons for your answer.

Fill in the blank(s) with the appropriate word(s).


No local minimum

Mathematics

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Let C (t) be the total value of US currency (coins and banknotes) in circulation at time. The table gives values of this function from 1980 to 2000, as of September 30, in billions of dollars. Estimate the value of C (1990) .


Answers are in billions of dollars per year. Round your answer to two decimal places.

Mathematics

For the pair of functions, find the indicated domain.f(x) = ; g(x) = Find the domain of fg.

A. (-?, 3) ? (5, ?) B. (3, 5) C. [3, 5] D. (-?, 15) ? (15, ?)

Mathematics

Verify the identity. +  = 2 csc x

What will be an ideal response?

Mathematics

State whether the function is a polynomial function or not. If it is, give its degree. If it is not, tell why not.f(x) =  - x

A. No; x has a fractional coefficient B. Yes; degree 0 C. Yes; degree 1 D. Yes; degree 2

Mathematics