- ATHE Level 7 : Understand the importance of financial data in formulating and delivering business strategy : Finance for Strategic Managers, Assignment UK
- CMI Unit 703 : Collaboration and partnerships can turn ideas into reality, enhancing opportunities for innovation and creativity, research and development : Collaboration and Partnerships, Assignment, UK
- 7OS01- Explain how the Employment Tribunal, the County Court, The Health and Safety Executive and the Information Commissioner : Advanced employment law in practice, Assignment, UK
- ILM 308 – Describe the factors that will influence the choice of leadership styles or behaviours in workplace situations: Understanding Leadership Level 3 Assignment , UK
- Level 5 CMI Unit 526 – Mark Sheet: Principles of Leadership Practice, UK
- Level 5 CMI Unit 526 : Understanding of ethical leadership and the impact of culture and values on leadership- Principles of Leadership Practice, Assignment, UK
- CMI Unit 501: Examine the impact of legal status on the governance of an organisation- Principles Of Management And Leadership In An Organisational Context Level 5 Assignment, UK
- ILM Level 5 Effective Communication Skills, Assignment , UK
- ILM Level 3 – Describe the factors that will influence the choice of leadership styles or behaviours in workplace situations Referral : Understanding Leadership styles, Assignment, UK
- CMI Unit 502 Understand approaches to developing, managing, and leading teams: Principles of Developing, Managing and Leading Individuals and Teams to Achieve Success, Assignment, UK
- R033 Supporting individuals through life events, Set Assignment, OCR, UK
- Working in partnership in health and social care, Assignment, UK
- CMI Unit 5034 Problem solving tools and techniques for consultants, Assignment, UK
- CIH Level 4: H409 – Research Skills for Housing, assignment, UK
- You are working for an energy company where you were asked to design a solution to promote sustainable transportation: Finding and Using Information, Assignment, OU, UK
- Managing a Professional Engineering Project (MPEP), Tutor Marked Assignment 1 (TMA) Network Analysis, TU, UK
- Unit 3: You are advising the owner of a local business that runs coach trips: Financial and Management Accounting Techniques for Managers, Assignment, UOS, UK
- UNIT CMI 702: Evidence Booklet: Understand the principles for leading and developing people: Leading and Developing People to Optimise Performance, Assignment, UK
- Level 4: Understanding the management role to improve management performance: Principles of leadership and management, Assignment, ILM, UK
- 7HR03: Your knowledge and understanding of the material covered in this specialist unit will be assessed: Strategic reward management, Assignment, CIPD Level 7, UK
MAST4001: Explain two different methods to solve a quadratic equation and what is meant by a real root: Algebraic Methods Assignment, UOK, UK
University | University of kent (UOK) |
Subject | MAST4001: Algebraic Methods |
Questions
a) Explain two different methods to solve a quadratic equation and what is meant by a real root. For each, describe an instance where it would be appropriate to use this method and give an example calculation.
b) Define the discriminant (sometimes known as determinant) of a quadratic equation and, using your own words, explain how it can be used to determine the number of solutions to the equation. Show example calculations to where one, two, or no real roots are found. Use hand-drawn or software-generated graphs to show the roots of the quadratic and indicate which roots are real.
c) Explain in your own words how to determine whether a geometric series will:
- converge
- diverge
- oscillate Define any algebraic variables you use.
d) Give an example of each type of series and carry out an example calculation to show that it converges, diverges, or oscillates.
You can either print out the document and answer on the sheet, or answer on separate paper. Once you’ve finished, either scan or clearly photograph your answers to upload them to your assignment.
1
2
a) Express x² + 4x – 7 in the form (x + p)² – q, where p and q are integers.
b) Hence, or otherwise, find the coordinates of the minimum point of the curve y = x² + 4x – 7.
3. The quadratic equation x² + (3k + 1)x + (4 – 9k), where k is constant, has repeated roots.
a) Show that 9k² + 42k – 15 = 0.
b) Hence find the possible values of k.
4.
a) Find the binomial expansion of (2 + 3x)5, simplifying the terms.
b) Hence find the binomial expansion of (2 + 3x)5 – (2 – 3x)5
5.
a) Evaluate and simplify the following logarithm to find x 2logb 5 + ½ log 9 − log 3 = logo x
c) The formula for the amount of energy E (in joules) released by an earthquake is E = (1.74 × 1019 × 101.44M) where M is the magnitude of the earthquake on the Richter scale.
i. The Newcastle earthquake in 1989 had a magnitude of 5 on the Richter scale. How many joules were released?
ii. In an earthquake in San Francisco in the 1900s the amount of energy released was double that of the Newcastle earthquake. What was its Richter magnitude?
6.
The first term of an infinite geometric series is 96. The common ratio of the series is 0.4.
a) Find the third term of the series.
b) Find the sum to infinity of the series.
7.
An arithmetic series has first term a and common difference d. The sum of the first ten terms of the series is 460.
a) Show that 2a + 9d = 92.
b) Given also that the 25th term of the sequence is 241, find the value of d.
Buy Answer of This Assessment & Raise Your Grades
Are you a UK student studying at the University of Kent (UOK) and facing challenges with your MAST4001: Algebraic Methods assignments? We understand the difficulties you may encounter, and that’s why we offer professional help with assignments. Our expert team is well-versed in the subject and can provide you with personalized guidance. Whether you’re struggling with solving quadratic equations using different methods or comprehending the concept of real roots, our professionals are here to assist you.