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Write the system in the form \(\mathbf{x}’ = A\mathbf{x} + \mathbf{f}(t)\):$$x_1′ = 3x_2 + 5$$$$x_2′ = -4x_1$$

Laplace Table:Find the Laplace transform of \(f(t) = t^3 – 4e^{5t}\).

The roots of the characteristic equation for \(y” + 6y’ + 9y = 0\) are:

____________ is the fundamental (unchanging) limitation associated with the system’s temporal resolution.

Graph 2x+3y=6.

An arrow is shot vertically upward from a platform 50 ft high at a rate of 174 ft/sec. When will the arrow hit the ground? Use the formula:

Find the equation of the line passing through the points (0,3) and (-1,4). Write your answer in the slope-intercept form y=mx+b.

Solve the following equation, using the quadratic formula, for .  Express your answer as an integer or a simplified fraction.  

A balloon filled with argon gas has a small hole. An identical balloon filled with oxygen gas has an identical small hole. Which balloon will deflate first and  how much faster (aka rate ratio) will it deflate?

What is the percent composition by mass of boron in B10C2H12?