The curve y = 1/3 x 3 2x 2 8x + 5 and the line
Question:
The curve y = 1/3 x3 – 2x2 – 8x + 5 and the line y = x + 5 meet at the points A, B and C.
a. Find the coordinates of the points A, B and C.
b. Find the gradient of the curve at the points A, B and C.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 85% (14 reviews)
a To find the coordinates of the points A B and C we need to find the solutions to the system of equ...View the full answer
Answered By
BillClinton Muguai
I have been a tutor for the past 5 years. I have experience working with students in a variety of subject areas, including computer science, math, science, English, and history. I have also worked with students of all ages, from elementary school to college. In addition to my tutoring experience, I have a degree in education from a top university. This has given me a strong foundation in child development and learning theories, which I use to inform my tutoring practices.
I am patient and adaptable, and I work to create a positive and supportive learning environment for my students. I believe that all students have the ability to succeed, and it is my job to help them find and develop their strengths. I am confident in my ability to tutor students and help them achieve their academic goals.
0.00
0 Reviews
10+ Question Solved
Related Book For
Cambridge IGCSE And O Level Additional Mathematics Coursebook
ISBN: 9781108411660
2nd Edition
Authors: Sue Pemberton
Question Posted:
Students also viewed these Business questions
-
At which points on the curve y = 1 + 40x3 3x5 does the tangent line have the largest slope?
-
5) A change in the quantity demanded of a good is: A) the outcome of a change in income. B) represented by a shift to a new demand curve. C) the outcome of a change in tastes and preferences. D)...
-
Q1. Suppose player A and player B are playing the following game. Player A can choose "Up" and "Down", while player B can choose "Left" and "Right". The payoff matrix is depicted below. Player A's...
-
In what circumstances have courts opted to use the substantial-factor test rather than the but-for test?
-
What is the formula of hydrogen telluride? What is the percentage of tellurium in this compound?
-
Happy Feet buys hiking socks for $6 a pair and sells them for $10. Management budgets monthly fixed costs of $12,000 for the relevant range of 0 (zero) to 12,000 pairs. Required Consider each of the...
-
Show that Eq. 9.22 reduces to Eq. 9.8 when the force is constant. Equations WFxAx (constant force exerted on particle, one dimension). (9.8)
-
American International Automotive Industries (AIAI) manufactures engine, transmission, and chassis parts for manufacturers and repair companies in the United States, South America, Canada, Mexico,...
-
a) Having graduated with a bachelor of commerce finance option, you have been requested to discuss with other employees in finance department on three ways that are used to describe real estate....
-
Is a randomly generated 4-CNF sentence with n symbols and m clauses more or less likely to be solvable than a randomly generated 3-CNF sentence with n symbols and m clauses? Explain.
-
The diagram shows a solid cylinder of radius r cm and height 2h cm cut from a solid sphere of radius 5 cm. The volume of the cylinder is V cm 3 . a. Express r in terms of h. b. Show that V = 2h(25 h...
-
A solid metal cuboid has dimensions x cm by x cm by 5x cm. The cuboid is heated and the volume increases at a rate of 0.5 cm 3 s -1 . Find the rate of increase of x when x = 4.
-
Continue with the facts presented in Problem 35. a. Construct a balance sheet for SD LLC assuming that Drews services are completed immediately after forming SD. The balance sheet should reflect the...
-
In analyzing the needs of the workforce, work-life balance is high on the list of issues facing both employers and employees. The balance between work and home lives is sought but rarely happens for...
-
Discuss what impressions you want people to form of you based on the information they can see on your Facebook or other social media page? Have you ever used social media or the Internet to do...
-
How do leaders leverage multi-channel communication platforms and tailored messaging frameworks to cascade their vision across hierarchical levels and functional domains within complex organizational...
-
During the life cycle of a reinforced concrete structure, one recommended maintenance method is to have regular monitoring or structural health checks on the structural elements. Indicate what are...
-
How do deadlock and live lock relate to synchronization issues? Provide strategies to prevent or mitigate them.
-
Units of production data for the two departments of Pacific Cable and Wire Company for November of the current fiscal year are as follows: If all direct materials are placed in process at the...
-
Explain the term global capital markets. This chapter primarily discusses global equity markets. What other types of financial instruments are traded in these markets? How important are global...
-
Read The Impact of Capacity-Building Programs on Nonprofits:A Random Assignment Evaluation. What five critical areas did the federal governments Compassion Capital Fund (CCF) Demonstration Program...
-
Read The Impact of Capacity-Building Programs on Nonprofits: A Random Assignment Evaluation. What were the results of the Impact Evaluation performed by the authors to assess capacity?
-
In deciding whether to recognize the tax-exempt status of a new nonprofit, should the Internal Revenue Service consider whether or not it will duplicate the services of other, existing organizations...
-
During January, Far North Maple Syrup Company had 108,000 units in beginning WIP, and it started an additional 364,000 units during the month. Far North completed 402,000 units in January. Far North...
-
Use the original data of 240,000 units sold. If Goldman could change the sales mix of the 240,000 units from 3:1 to 1:1 by increasing advertising by $300,000, should the increased advertising...
-
At the end of 2024, a company's inventory account has a balance of $600,000 before any year-end adjustments. The company uses the perpetual inventory system. A physical count of its inventory shows...
Study smarter with the SolutionInn App