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If A is a real 2×2 matrix and has eigenvalues λ, μ that are…

If A is a real 2×2 matrix and has eigenvalues λ, μ that are purely imaginary, then solution curves x(t) of x’ = Ax are always circles. 

Published August 20, 2024
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If cos c = x, then c must be the quantity arccos(x).

If cos c = x, then c must be the quantity arccos(x).

Published August 20, 2024
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The quasi-frequency of an underdamped, free harmonic oscilla…

The quasi-frequency of an underdamped, free harmonic oscillator is:

Published August 20, 2024
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Match mathematically corresponding quantities in the spring-…

Match mathematically corresponding quantities in the spring-mass system with position y(t) as the unknown, and the electrical RLC circuit with current I(t) as the unknown.

Published August 20, 2024
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The oscillations of an undamped, free harmonic oscillator wi…

The oscillations of an undamped, free harmonic oscillator will continue at constant amplitude and frequency forever.

Published August 20, 2024
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The Laplace transform of a linear combination of functions i…

The Laplace transform of a linear combination of functions is the linear combination of the Laplace transforms of the individual functions.

Published August 20, 2024
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Suppose you have two planets: Planet 1 has mass M and sidere…

Suppose you have two planets: Planet 1 has mass M and sidereal day length T. Planet 2 has mass 4M and sidereal day length T/2. How do the radii of their stationary orbits compare?

Published August 20, 2024
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True or False? (y’+t)’ = t is a first-order differential equ…

True or False? (y’+t)’ = t is a first-order differential equation.

Published August 20, 2024
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A reaction needs to be refluxed at 65 oC, a good choice for…

A reaction needs to be refluxed at 65 oC, a good choice for this endeavor is 

Published August 20, 2024
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The Nineteenth Amendment granting women the right to vote wa…

The Nineteenth Amendment granting women the right to vote was embraced by many progressives because…

Published August 20, 2024
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