Solve the differential equation using the method of variation of parameters.


Mathematics

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Solve the problem.According to the Gas Kinetic Theory, the average speed of a gas particle is given by  where  is the speed in m/s, k is the constant 1.38 × 10-23, T is the temperature of the gas in Kelvin, and m is the mass of the gas particle in kg. What is the average speed of an oxygen molecule with a mass of at a temperature of 500 K?

A. 174 m/s B. 1020 m/s C. 330,700 m/s D. 575 m/s

Mathematics

If the number is negative, write it with a raised negative sign; if the number is positive, write it in two ways.Mary's stock lost $3100 in value last year.

A.
B.  or $3100
C. $3100
D.

Mathematics

Find the indicated output.f(x) = 8x - 1; find f(10).

A. 80 B. -79 C. 9 D. 79

Mathematics

Convert. When necessary, round the answer to two decimal places.144 hours =    days

A. 6 B. 72 C. 42 D. 48

Mathematics