please code in python 1).  Multiplication using Addition Write a function: mul(a,b) that will compute and return the product of two positive integers a and b using only a for loop and the addition operator ( + ).    Then, write a new function mul2(a,b) that does the same thing, but uses a while loop rather than a for loop.     2).  Exponentiation using Multiplication Write a function expo(x,y) that computes and returns the exponent xy using only a loop and the multiplication operator.   Then, adjust it so that rather than using the multiplication operator, it uses one of the multiplication functions you wrote in part 1.   Hints: xy is equal to (x * x * x * x ... x), y times. When you’re computing a sum using a loop, you start at 0, since anything + 0 is itself. When you’re computing a product using a loop, you start at ?, since anything * ? is itself (fill in the ?). If you wrote your mul function from part 1 correctly, then the following two lines should have the same effect, so you can use one to replace the other. var = foo * bar var = mul(foo, bar)

Q: The language for the program is Python.  Design a recursvie function that accepts an integer…

A: Define a function named print_numbers that takes an integer argument n. Check if n is equal to…

Q: Given a boolean expression consisting of the symbols 0 (false), 1 (true), & (AND), I (OR), and /…

A: As in other recursive problems, the key to this problem is to figure out the relationship between a…

Q: (2) (Ø* u b) b* Ob о bb* О Бь

A: The correct choice is:  b*Break down the given regular expression:(Ø* U b) b*Here, Ø represents the…

Q: About initial programming in python: Consider the series: 1)" 1 = 1 - 3 1 1 1 2n | 1 7 9 n=0 whose…

A: We need to highlight the code for the provided sum series. We need to use python here.

Q: Consider the function f(x, y), defined for x E R, y E R as follows: x + y for x > 0 and y > 0 { for…

A: def func_xy(x,y):    if (x>=0 and y>=0):        return x+y    if (x>=0 and y<0):…

Q: This equation can be used in a recursive function to compute to a large number of decimal places. In…

A: def getNth(n): # to get the nth term of the sequence     if n == 1:         return (1/2 + 1/2*(1/2)…

Q: Write a program called p3.py that contains a function called reveal_recursive () that takes a word…

A: def word(x,n):    for i in range(0,len(x)):        if i<=n:            print(x[i],end="")…

Q: (5) ((a U b)*)* O (a Ub)* O (a Ub)+ O a* Ub* O at Ub*

A: In regular expresstions,(x)+ means one or more occurences of x(x)* means zero or more occurences of…

Q: Create the program that calculates the roots of the example above using bisection method. Indicate…

A: Hey there, I am writing the required solution of the above stated question.Please do find the…

Q: Problem 1 Write a program called p1.py with the following functions: 1. the function factorial_loop…

A: Given: To write a python code.

Q: The math module includes a function exp which computes the exponential of a floating point number.…

A: Here, the first factorial function is defined.Then exp_taylor is defined using a predefined…