Estimate the slope f'(3.5) for f(x) = sin(3x) using: a. Forward difference approximation with h = 0.2 b. Backward difference approximation with h = 0.2 Centered difference approximation with h = 0.2....

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Extracted text: Estimate the slope f'(3.5) for f(x) = sin(3x) using: a. Forward difference approximation with h = 0.2 b. Backward difference approximation with h = 0.2 Centered difference approximation with h = 0.2. c. NOTE THAT “x" is in units of radians. For each estimated slope, provide the true percent relative error, Et. State which approximation is the most accurate. Upload a pdf of your handwritten work and/or any MATLAB code or command window calculations.