a. Find the Laplace transform F(s) = L{f(1)} of the function f(t) = sin (wt), defined on the interval i 2 0. F(s) = L {sin (wt)} = (2w^2/(s(s^2+4w^2)) help (formulas) Hint: Use a double-angle trigonometric identity. b. For what values of s does the Laplace transform exist? help (inequalities)

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Equations and Inequations

Equations and inequalities describe the relationship between two mathematical expressions.

Linear Functions

A linear function can just be a constant, or it can be the constant multiplied with the variable like x or y. If the variables are of the form, x2, x1/2 or y2 it is not linear. The exponent over the variables should always be 1.