• Solve TP2.2.2 again, but use NumPy to solve it for multiple values.

• Suppose the cover price of a book is $24.95, but bookstores get a 40% discount. Shipping costs $3 for the first copy and 75 cents for each additional copy. What is the total wholesale cost for 60 copies?

• First solve it by creating one NumPy array for each of the values in the original problem:

  24.95 40% 3 0.75 60 

• Then add 2 more books to the order by adding 2 more numbers to each of the NumPy arrays above with these 2 sets of values:

  26.95 35% 4 1.00 70 27.95 45% 5 1.25 80 

• Finally, create a function that accepts 4 iterables named price, discount, shipping_base, shipping_additional, and number_of_copies. The function should use the NumPy code you already wrote to return the total cost of a book order.

ques2. 3. The mathematician Srinivasa Ramanujan found an infinite series that can be used to generate a numerical approximation of 1/: 1 = 2 2 9801 k=0 (4k)!(1103 + 26390k) (k!) 43964k

• Resolve TP7.3 by writing a function that takes k as a parameter (instead of iterating until the last term is 1e-15), uses NumPy to calculate the series quickly, and returns the estimate.
• Use %timeit (or similar) to compare the speeds of your earlier solution's function and your new function - either changing your earlier solution's function to print the maximum value of k was when it iterated, or to stop after a specified number of iterations