Please use python Write a function (including docstring) called multiply_term that takes a polynomial as inputs and aterm. We can represent polynomials as a collection or power-coefficient pairs. Consider the followingpolynomial: p(r) = 2 · x4 – 3- x + 5. We can represent it as the following collection of pairs: (4, 2), (1,-3), (0, 5). We can represent a term as a tuple where the first value indicated the exponent in the term,and the second its coefficient. For example, the term 5 - x4 is represented by the tuple (4, 5).The function does not return anything, but after its execution the input dictionary will now representthe multiplication of the input polynomial by the specified term.For example:Page 2>> p = {2 : 1, 1 : 2} # x^2 + 2x>>> t = (4, 5) # 5x^4>> multiply_term(p, t)>>> p == {6 : 5, 5 10}TrueYou can assume that the function will receive as input a dictionary mapping integers to numbers. Noneed for you to implement any type of input validation.

We know, to add two polynomials, we add/subtract the coefficients corresponding to like terms, i.e…

Write a function (including docstring) called multiply_term that takes a polynomial as inputs and a term. We can represent polynomials as a collection or power-coefficient pairs. Consider the following polynomial: p(r) = 2 · x – 3.r+5. We can represent it as the following collection of pairs: (4, 2), (1, -3), (0, 5). We can represent a term as a tuple where the first value indicated the exponent in the term, and the second its coefficient. For example, the term 5- xª is represented by the tuple (4, 5). The function does not return anything, but after its execution the input dictionary will now represent the multiplication of the input polynomial by the specified term. For example:

Write a function (including docstring) called multiply_term that takes a polynomial as inputs and a term. We can represent polynomials as a collection or power-coefficient pairs. Consider the following polynomial: p(r) = 2 · x – 3.r+5. We can represent it as the following collection of pairs: (4, 2), (1, -3), (0, 5). We can represent a term as a tuple where the first value indicated the exponent in the term, and the second its coefficient. For example, the term 5- xª is represented by the tuple (4, 5). The function does not return anything, but after its execution the input dictionary will now represent the multiplication of the input polynomial by the specified term. For example:

Database System Concepts

7th Edition

ISBN:9780078022159

Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan

Chapter1: Introduction

Section: Chapter Questions

Problem 1PE

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Question

Please use python

Write a function (including docstring) called multiply_term that takes a polynomial as inputs and a
term. We can represent polynomials as a collection or power-coefficient pairs. Consider the following
polynomial: p(r) = 2 · x4 – 3- x + 5. We can represent it as the following collection of pairs: (4, 2), (1,
-3), (0, 5). We can represent a term as a tuple where the first value indicated the exponent in the term,
and the second its coefficient. For example, the term 5 - x4 is represented by the tuple (4, 5).
The function does not return anything, but after its execution the input dictionary will now represent
the multiplication of the input polynomial by the specified term.
For example:
Page 2
>> p = {2 : 1, 1 : 2} # x^2 + 2x
>>> t = (4, 5) # 5x^4
>> multiply_term(p, t)
>>> p == {6 : 5, 5 10}
True
You can assume that the function will receive as input a dictionary mapping integers to numbers. No
need for you to implement any type of input validation.

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Use python please You are the manager of a £100 million portfolio, and you have 6 investment options: - First Mortgages: return 9% and risk score 3- Second Mortgages: return 12% and risk score 6- Personal Loans: return 15% and risk score 8- Commercial Loans: return 8% and risk score 2- Government Securities: return 6% and risk score 1- Saving Account: return 3% and risk score 0 The current regulation requires that the amount allocated in second mortgages and personal loans (combined) should not exceed the amount allocated in first mortages. Given this information: a) Ignoring the risk involved in the different investment options, what is the profit maximizing allocation of resources? What are the expected profits? b) Now, you have to consider the risk associated with the investments. The average risk of your portfolio cannot exceed 5. What is the profit maximizing allocation of resources? What are the expected profits?