Find the Convolution Y(t) of X(t) and H(t); That Is $$x ( t ) = 3 \sin ( 6 t ) u ( t ) , \quad h ( t ) = 2 \cos ( 6 t ) u ( t )$$

question 14

Essay

Find the convolution y(t) of x(t) and h(t); that is, find y(t) = h(t)*x(t). $$x ( t ) = 3 \sin ( 6 t ) u ( t ) , \quad h ( t ) = 2 \cos ( 6 t ) u ( t )$$

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Definitions:

Dependent Variable

The variable in a study or experiment that is expected to change or respond due to manipulation of the independent variable(s).

Graph

A visual representation of data designed to show relationships between sets of variables using points, lines, bars, or sections.

Straight Line

The shortest distance between two points, often used to describe a linear relationship in mathematics and physics.

Sample Regression Equation

A formula that estimates the relationship between variables using data from a sample, predicting the dependent variable based on independent variables.