In all of the following functions, a is a positive real constant and t. Part A: Find the Fourier transform of t=(e| Express your answer in terms of the variables a and w. ANSWER: F(w)=
Part B: Find the Fourier transform of f(t)=ta. Express your answer in terms of the variables a and w. ANSWER: F(w)=
Part C: Find the Fourier transform of f(t)=e cos(wt). Express your answer in terms of the variables a and w. ANSWER: F(w)=
Part D: Find the Fourier transform of f(t)=e sin(wt). Express your answer in terms of the variables a and w. ANSWER: F(w)=
Part E: Find the Fourier transform of f(t)=e^t. Express your answer in terms of the variables f and w. ANSWER: P(w)=