Use technology to perform the following steps for f(x)=35inx on [0,1]. a. Plot the function overthe 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)=(averagevalue) for x using the average value calculated in part (b) for n-500 partitioning