What is the resultant displacement when a vector of magnitude 100 m is added to a vector of magnitude 150 m at an angle of 45 degrees clockwise from the positive x-axis?
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Find the maximum value of f(x) = 4sin(2x) + 3cos(3x) within the range 0 ≤ x ≤ π.
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What are the solutions to the quadratic equation 2x^2 - 5x - 3 = 0?