The curve y = x 3 + ax + b has a stationary point at (1, 3).

Question:

The curve y = x³ + ax + b has a stationary point at (1, 3).

a. Find the value of a and the value of b.

b. Determine the nature of the stationary point (1, 3).

c. Find the coordinates of the other stationary point on the curve and determine the nature of this stationary point.

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Cambridge IGCSE And O Level Additional Mathematics Coursebook

ISBN: 9781108411660

2nd Edition

Authors: Sue Pemberton

See More Books

Question Posted: Sep 01, 2021 01:05 AM

See More 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).
The curve y = x 2 + a/x + b has a stationary point at (1, - 1). a. Find the value of a and the value of b. b. Determine the nature of the stationary point (1, - 1).
Find the value of t and the values of t0, t1, ... tn when the interval from t = a to t = b is broken into n equal intervals of width t. a = 0, b = 2, n = 5.
Calculate e y for the following values of y: (a) y = 1 (b) y = 5 (c) y = -.5 (d) y = -2.5 (e) y = 3.1 (f) y = - I (g) y = .05 (h) y = .32 (i) y = 6.1 (j) y = -5.4
Which of the following orbital diagrams are allowed and which are not allowed by the Pauli exclusion principle? Explain. For those that are allowed, write the electron configuration. a. b. c. d. s 2s...
Between 1990 and 2007, the U.S. price level rose by about 61 percent while real output increased by about 63 percent. Use the aggregate demandaggregate supply model to illustrate these outcomes...
You are the financial controller of Garla Ltd, an Australian company listed on the ASX that sells premium Australian wines into overseas markets. Garlas sales of inventories in foreign currency...
Revenue and expense data for the current calendar year for Shoesmith Electronics Company and for the electronics industry are as follows. The Shoesmith Electronics Company data are expressed in...
8. A dielectric slab of dielectric constants k is slowly inserted inside the parallel plate capacitor having plate area A and separation between plates d as shown in figure. If dimensions of...
On December 31, 2020, Green Bank enters into a debt restructuring agreement with Shamrock Inc., which is now experiencing financial trouble. The bank agrees to restructure a $2.3-million, 10% note...
A piece of wire, of length 60 cm, is bent to form a sector of a circle with radius r cm and sector angle radians. The total area enclosed by the shape is A cm 2 . a. Express in terms of r. b. Show...
Find the gradient of the curve y = x-4/x at the point where the curve crosses the x-axis.
Which of the series defined by the formulas converge, and which diverge? Give reasons for your answers. x n=10n
Determine What is the firms NOPAT? What is the firms NOWAC? What is the firms TNOC? What is the firms Net investment in TNOC? What is the firms debt ratio? What is the firms EPS? What is the firms...
The common stock of Northside Store sells for $38.42 per share. The stock is expected to pay an annual dividend of $1.80 next year and increase that amount by 4 percent annually thereafter. What is...
What is the target market (TM) identified by Baik Sos Salsa currently? Do you agree/disagree with the TM choice? Why? What factors influence (positively/negatively) demand for Baik Soscooking sauces...
Pioneer Corporation has five - year bonds yielding 8 . 0 0 % . At this time, five - year treasuries are yielding 5 . 1 5 % . If r * = 3 . 0 % , IFL 5 = 1 . 7 5 % , and MP 5 is 0 . 1 9 % . What is the...
John purchased a new car in 2023 for a price of $37,000. If he claims first-year bonus depreciation, what is the greatest allowable depreciation deduction he may claim for the vehicle in 2023?
Rextacular Manufacturing Company reported the following materials data for the month ending June 30, 2016: Materials purchased .................... $828,000 Materials inventory, June 1...............
Tarick Toys Company manufactures video game consoles and accounts for product costs using process costing. The following information is available regarding its June inventories. The following...
What are the three categories of product costs that flow through the work-in-process inventory account? Describe each one.
When is the cost of goods sold account (often called cost of sales) used, and how is the dollar amount recorded in this account determined?
What are the names and dollar amounts of the inventory accounts appearing on the balance sheet? What is the total amount of product costs recorded as an expense on the income statement for the year...
Brian's large organization has used RADIUS for AAA services for its network devices for years and has recently become aware of security issues with the unencrypted information transferred during...
Review a company Chairmans Letter in their annual report and describe the firms management strategy. How do you compare the companys strategy with the industry?
What is the best definition for ethical leadership ?Explain

The curve y = x 3 + ax + b has a stationary point at (1, 3).

Question:

Step by Step Answer:

a To find the value of a and the value of b set the first derivative of the function to 0 and solve ...View the full answer

Cambridge IGCSE And O Level Additional Mathematics Coursebook

Students also viewed these Business questions