Use technology to perform the following steps for f(x) = sin 3x on |0. 3. a. Plot the function over the given interval. b. Subdivide the interval into n = 100, n = 200, n = 500 subintervals of equal length and evaluate the function at the midpoint of each subinterval. Then compute the average value of the function values generated. c. Solve the equation f(x) = (average value) for x using the average value calculated in part (b) for n = 500 partitioning. Thanks in advance