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What is the equation for the fundamental matrix? Answer : The fundamental matrix, often denoted as \(\Phi(t)\), is a solution to the system of first-order linear differential equations: \[ \frac{d\mathbf{x}}{dt} = A(t) \mathbf{x}(t) \] where \( ... you to write the general solution of the system as a linear combination of the columns of \(\Phi(t)\)....
Implement the following Boolean equation using fundamental gates: Y = ABC + A'B'C' + A'C'B.
When does Proportional (P) Integral (I) Derivative (D) Controllers are Used Answer : Proportional-Integral-Derivative (PID) controllers are widely used in various systems that require automatic control to maintain a desired output or state. Here's when each component is typically ... over errors, fast response, stability, and elimination of persistent small errors over time....
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