use a CAS to perform the following steps:a. Plot the functions over the given interval.b. Partition the interval into n = 100, 200, and 1000 subintervalsof equal length, and evaluate the function at themidpoint of each subinterval.c. Compute the average value of the function values generatedin part (b).d. Solve the equation ƒ(x) = (average value) for x usingthe average value calculated in part (c) for the n = 1000partitioning. ƒ(x) = e-x2 on [0, 1]

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