What is the equation of the exponential function that has a horizontal shift of 3 units to the right, a vertical shift of -2 units downward, a base of 0.5, and passes through the point (0, 4)?
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What is the period and amplitude of the tangent function f(x) = tan x?
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Find the maximum value of sin(2x) + 2cos(x) over the interval [0, π/2].