Find L{(1-t) (3+2 sin 5t)}.

In the following questions you need to import functions from Numpy. For example the computation of matrix determinants can be done with the help of the function det of the library numpy.linalg. Please list the commands required for the function to work  Its follows on from a, b and c

Find a regular expression for the set {a"b": n> 3,m is even}.

The following data are given: x= [1,3,5,7]; y=[ln (1), In (3), ln (5), ln (7)] 3. a) Use the interpld function from scipy.interpolate library to interpolate the above data using the spline interpolation method. b) Estimate the logarithm of 2 for linear, quadratic and cubic splines. Print out the true value, interpolating values and the true relative errors in % for linear, quadratic and cubic splines. c) Show on a graph the true function In(x), interpolating linear spline, interpolating quadratic spline, interpolating cubic spline, and data points. Round numbers to four significant digits.