The curve y = 2x 3 + ax 2 + bx 30 has a stationary point
Question:
The curve y = 2x3 + ax2 + bx − 30 has a stationary point when x = 3.
The curve passes through the point (4, 2).
a. Find the value of a and the value of b.
b. Find the coordinates of the other stationary point on the curve and determine the nature of this point.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 80% (10 reviews)
a To find the value of a and b we need to use the fact that the curve has a stationary point at x3 T...View the full answer
Answered By
Umair Yousuf
Through my training and programming, I have developed the ability to provide clear and concise explanations, offer examples and analogies, and adapt my responses to match the individual learning styles and levels of my users. I have access to a vast database of knowledge and resources that I can draw upon to provide comprehensive and accurate information.
Furthermore, I can offer interactive learning experiences such as quizzes, exercises, and simulations to help reinforce concepts and provide hands-on practice.
Overall, while I may not have hands-on experience as a traditional tutor, I am proficient in providing educational assistance and support to individuals seeking academic help.
0.00
0 Reviews
10+ Question Solved
Related Book For
Cambridge International AS And A Level Mathematics Pure Mathematics 1 Coursebook
ISBN: 9781108407144
1st Edition
Authors: Sue Pemberton, Julian Gilbey
Question Posted:
Students also viewed these Mathematics questions
-
The curve y = ax + b/x 2 has a stationary point at (1, - 12). a. Find the value of a and the value of b. b. Determine the nature of the stationary point (- 1, - 12).
-
A curve y = f(x) has a stationary point at P(2, 13) and is such that f(x) = 2x 2 + 3x k, where k is a constant. a. Find the x-coordinate of the other stationary point, Q, on the curve y = f(x). b....
-
A curve y = f(x) has a stationary point at (1, 1) and is such that Find f(x) and f(x). f"(x) = 2 + - 4
-
The following items were shown on the balance sheet of Herman Corporation on December 31, 2010: Stockholders Equity Paid-In Capital Capital Stock Common stock , $5 par value, 360,000 shares...
-
Assume you are a brand manager of a food product that is consumed by all AmericansAfrican-Americans, Caucasians, Hispanics, Asians, and others. You are considering running an extended advertising...
-
Intervision is a model of peer reflection that is used by social workers in continental Europe but is less well known in the UK. It is similar to a Balint group (Rth 2009) and provides opportunities...
-
Describe the key functions involved in managing a sales force.
-
Mayfield, Inc., has the following plant asset accounts: Land, Buildings, and Equipment, with a separate accumulated depreciation account for each of these except Land. Mayfield completed the...
-
e a w a UD Duplo robial find View Sign Window Help Tools BCOMDEG Accoun 3/9 75% 2 QUESTION TWO 125 Joel Mabena is the sole owner of a general dealer business, Joels Bargains. The following...
-
A 200-pound steer can be sustained on a diet calling for various proportions of grass and grain. These combinations are shown in the table. Pounds of Grass Pounds of Grain 50 ..........80 56...
-
A solid metal cuboid has dimensions xcm by xcm by 4xcm. The cuboid is heated and the volume increases at a rate of 0.15 cm 3 s 1 . Find the rate of increase of x when x = 2.
-
The variables x, y and z can take only positive values and are such that z = 3x + 2y and xy = 600. i. Show that ii. Find the stationary value of z and determine its nature. z = 3x + 1200 x
-
What is the difference between a vibration isolator and a vibration absorber?
-
1. A concise introduction of the brand, including but not limited to a brief history, location information, size of the business, product/service offering, and so on.Give brief explanation. 2. Which...
-
A wood frame structure as shown to the right. The framingconsists of 2x6 studs, a single 2x6 bottom plate, two 2x6 topplates and a 2x10 joist. The studs are spaced at 16 in. on centerand sheathed...
-
In your reflection journal please list your order - 'most efficient' mediums at the top, 'least efficient' at the bottom. (for eg. social media, display ads, etc)Then, in five hundred words or more,...
-
Energy prices and global warming are discussed daily in the news as environmental impact of e-waste is just beginning to be recognized. Sustainability and corporate social responsibility need to be...
-
3. A Channel section is connected to a 10mm gusset plate with 20mm- diameter bolts as shown in the figure. The connecting member is subjected to dead load and live load only. The pitch distance,...
-
Our implementation of the treeSearch utility, from Code Fragment 11.3, relies on recursion. For a large unbalanced tree, it is possible that Javas call stack will reach its limit due to the recursive...
-
(a) Bright Sdn Bhd (BSB) is a tax resident manufacturing company in Johor, which involves in ceramic tiles. Currently, BSBs annual sales turnover has been forecasted to be around RM 300,000 for the...
-
The 17th hole at the TPC (Tournament Players Club) is an island green that causes even professional players to put their tee shots into the surrounding pond. A statistics practitioner kept track of...
-
A survey of 60 individuals leaving a mall asked how many stores they entered during this visit to the mall. The figures are listed here. a. Draw a histogram to summarize these data. b. Describe the...
-
Among American adults with children draw a histogram of their ages when their first child was born (AGEKDBRN).
-
Read the following and then answer the questions below:September 12: A Brisbane business offers by letter to sell 500 tyres to a New Zealand company. The Brisbane company does not specify a method of...
-
Fred returns home from work one day to discover his house surrounded by police. His wife is being held hostage and threatened by her captor. Fred pleads with the police to rescue her and offers...
-
Would like you to revisit one of these. Consideration must be clear and measurable.if you can't measure it then how can you show it has / has not been done?How can you sue someone for breach of...
Study smarter with the SolutionInn App