Given that f(x) = x 2 6x + 18, x 0, a. Express f(x) in
Question:
Given that f(x) = x2 − 6x + 18, x ≥ 0,
a. Express f(x) in the form (x − a)2 + b, where a and b are integers. The curve C with equation y = f(x), x ≥ 0, meets the y-axis at P and has a minimum point at Q.
b. Sketch the graph of C, showing the coordinates of P and Q. The line y = 41 meets C at the point R.
c. Find the x-coordinate of R, giving your answer in the form p + q√2,where p and q are integers.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 85% (7 reviews)
a fx x 6x 18 x 0 fx x 23x 9 9 x 0 x 23x 3 9 x 0 x 3 9 x 0 Therefore expressing fx in the form of x a ...View the full answer
Answered By
Ankit Jangra
Career Summary: Over twenty five years of teaching experience, more than half of which in Engineering subjects and a significant half in MBA entrance level exams. Here is a short gist.
Work Experience: Alumni of a national institute of technology in computer science and an IIM (a prestigious management institute in India and globally) call getter (98.7 percentile).
Had also been a project guide on one occasion for a Engineering final year project in designing a Network Intrusion Detection System, an advanced firewall mechanism that dealt with network security. Have also designed many software projects from games to online payment to network data transfer format and interchange.
Have also written three university level text book notes on C and Data Structure, Digital circuits and Engineering Mathematics.
Had been teaching and mentoring MBA aspirants in reputed institutes of the country.
Associated with an academy for the last seven years teaching subjects like Aptitude, C and Data Structure, Analysis of Algorithm, Operating System, Digital Circuits for post graduate entrance exams and also had the privilege of being a guest lecturer in many government universities across the country.
Computer Literacy: Have detailed and intricate and extensive knowledge of Core Java, Enterprise Java, React, Spring Framework, Hibernate, LDAP (server directory structure) and Scala Actor System and Databases like MySql, Mongodb, PostgreSql. Teaching Java fundamentals from basic to advanced, from Java Memory model to Reference objects, to UTC Date Time format, to responsive Java, to design patterns, to JUnit test, to ForkJoin thread pool, only a few samples to count. Only recently, (for academic interest) designed a Json converter (Json to Java object and vice versa) from scratch like Jackson, for mongoDB application. Also designing web applications both front and backend, with knowledge of React, HTML, CSS, Javascript. Have been teaching Java for more than seven years.
0.00
0 Reviews
10+ Question Solved
Related Book For
Edexcel AS And A Level Mathematics Pure Mathematics Year 1/AS
ISBN: 9781292183398
1st Edition
Authors: Greg Attwood
Question Posted:
Students also viewed these Mathematics questions
-
Complete the following: Use a search engine to locate the home pages for the following: Guggenheim Museum, AutoZone, and UVault. Open each home page in a separate browser tab. Make a note of who the...
-
The following additional information is available for the Dr. Ivan and Irene Incisor family from Chapters 1-5. Ivan's grandfather died and left a portfolio of municipal bonds. In 2012, they pay Ivan...
-
a. On the same axes sketch the curves with equations y = 6/x and y = 1 + x. b. The curves intersect at the points A and B. Find the coordinates of A and B. c. The curve C with equation y = x 2 + px +...
-
Q4 11 Points 4. Consider the following Current Data for ABC Corp.: Debt Equity Market Value (in millions of $) 16,000 26,000 Cost 7% 14% If ABC moves to and maintains a debt-to-value (D/V) ratio of...
-
Daniel DeNardo and Joy Bax had been co-workers at Alaska Newspapers, Inc. (ANI). After DeNardo no longer worked for ANI, he filed a defamation lawsuit against Bax because she had told other employees...
-
You have been hired as a junior financial analyst for an investment firm. Your manager has asked you to explain certain information for one of its investments - Maple Leaf Food Ine. An extract from...
-
What items of information must be included in a notice of deposition?
-
For each of the following independent situations, calculate the amount(s) required. Required: 1. At the break-even point, Jefferson Company sells 115,000 units and has fixed cost of $349,600. The...
-
Mary Losch operates a travel agency called Mary's Luxury Travel. She has five employees, all of whom are paid on a weekly basis. The travel agency uses a payroll register, individual employee...
-
Suzie Pickering has experience in the clothing and retail industry, which is why she was assigned to the Cloud 9 audit. Suzie is mentoring Ian Harper, a first-year staff on the audit team, and they...
-
The figure shows a sketch of the curve with equation y = f(x). The curve crosses the x-axis at the points (2, 0) and (4, 0). The minimum point on the curve is P(3, 2). In separate diagrams, sketch...
-
a. Sketch the graph of y = x(x + 1)(x + 3) 2 . b. Find the possible values of b such that the point (2, 0) lies on the curve with equation y = (x + b)(x + b + 1)(x + b + 3) 2 .
-
Given a continuously compounded risk-free rate of 3% annually, at what lease rate will forward prices equal the current commodity price? (Recall the copper example in Section 6.3.) If the lease rate...
-
Sally will be leaving her sale position next month, to start a 2-year MBA program. If she wants to withdraw $1,500 from her investment account every month, which earns an average of 5.5% compounded...
-
Suppose you invest 52%, 28%, and 20% of your wealth into a stock, the market, and a risk-free asset, respectively. The beta of the stock is 1.1. What is the beta of the portfolio?
-
A $50,000 cash gift will reduce an individual's unified credit against gift tax if the gift is made to a ?
-
Amazon company. Need to do analysis of the risks of your recommended plan. If they do exactly what you say, what can go wrong? Can you give them some contingency plans? Basd on Recommendations are...
-
Create 3 boxes using div tags. (The values below are width by height). A red box that is 100 pixels by 100 pixels. A blue box that is 300 pixels by 400 pixels. It should also have a 2px solid red...
-
Implement the linear optimization model that you developed for the investment scenario use Solver to find an optimal solution. Save the Answer and Sensitivity reports in your Excel workbook....
-
Provide examples of a situations in which environmental disruptions affected consumer attitudes and buying behaviors.
-
The points A, B and C have position vectors respectively. a. Find the vectors AB ,AC and BC. b. Find |AB| |AC| and |BC| giving your answers in exact form. c. Describe triangle ABC. 8 -7 4 " 8 12 -3...
-
P is the point (3, 0, 7) and Q is the point (1, 3, 5). Find a. The vector PQ b. The distance between P and Q c. The unit vector in the direction of PQ .
-
Find the unit vector in the direction of each of the following vectors. a. b. c. P = 3 -4 -2/
-
2. A program is designed to compute a customer's car rental charges. Every car is charged at RM25 per day with addition to a charge of RM 0.40 for every kilometer used. Finally, the final rental...
-
Write the loop invariant for the following code: item = -INF (minus infinite) for (i=0 to n-1) if (A[i] item) item =A[i]
-
Recher Corporation uses part Q89 in one of its products. The company's Accounting Department reports the following costs of producing the 6,800 units of the part that are needed every year. Per Unit...
Study smarter with the SolutionInn App