Find the Convolution Y(t) of X(t) and H(t); That Is $\text { find } y ( t ) = h ( t ) ^ { * } x ( t )$

question 5

Essay

Find the convolution y(t) of x(t) and h(t); that is, $\text { find } y ( t ) = h ( t ) ^ { * } x ( t )$ $$x ( t ) = \left\{ \begin{array} { c c } 3 , & 0 \leq t < 7 \\0 , & \text { otherwise }\end{array} , \quad h ( t ) = \left\{ \begin{array} { c c } 2 , & 0 \leq t < 3 \\0 , & \text { otherwise }\end{array} \right. \right.$$

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Definitions:

Bilateral Equality

Refers to the concept of equal distribution or mirroring of rights, responsibilities, and conditions between two parties or sides.

Pulse Rhythm

The pattern of the pulsations of the heart as felt through the walls of arteries, indicating the heart rate and regularity.

Apical Pulse

The heartbeat measured at the apex of the heart, typically detected through a stethoscope placed on the chest.

Hypertensive Crisis

A severe elevation in blood pressure that can lead to stroke, organ damage, or other serious complications unless promptly treated.