The graph of f(t) is given in the figure. Represent f(t) using a combination of Heaviside step functions. Use h(t - a) for the Heaviside function shifted a units horizontally. f(t) = 2(t-1)h(t-1)-4(t-2)h(t-2)+2(t-3)h(t-3) Graph of y = f(t)
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Step 1
At t = 1, the function jumps to 2, so we add 2h(t-1) to represent this jump. Then, at t = 2, the function starts to decrease linearly with a slope of -4. To represent this, we subtract 4(t-2)h(t-2). The (t-2) term ensures that this linear function is 0 for t < 2, Show more…
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