The curve y = 2x 3 3x 2 + ax + b has a stationary point
Question:
The curve y = 2x3 – 3x2 + ax + b has a stationary point at the point (3, - 77).
a. Find the value of a and the value of b.
b. Find the coordinates of the second stationary point on the curve.
c. Determine the nature of the two stationary points.
d. Find the coordinates of the point on the curve where the gradient is minimum and state the value of the minimum gradient.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 66% (18 reviews)
To find the values of a and b we need to plug in the coordinates of the stationary point 3 77 into t...View the full answer
Answered By
Kenneth Mutia
I have a B.S. in Statistics from the Jomo Kenyatta University of Agriculture and technology. I have been an academic tutor for over 3 years. I have a passion for helping students reach their full potential and am dedicated to helping them succeed. I am patient and adaptable, and I have experience working with students of all ages and abilities, from elementary school to college in their various fields. I have a wide scope of diverse tutoring experience in several courses of study with significant success as a tutor.
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
-
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 3 + 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...
-
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).
-
Prepare adjusting journal entries, as needed, considering the account balances excerpted from the unadjusted trial balance and the adjustment data. A. depreciation on buildings and equipment, $17,500...
-
An atom easily loses two electrons to form the ion R+2. The element, which is in Period 6, forms the oxides RO and RO2. Give the orbital diagram for the ground-state valence shell of the element that...
-
Suppose in Fiscalville there is no tax on the first $10,000 of income, but a 20 percent tax on earnings between $10,000 and $20,000 and a 30 percent tax on income between $20,000 and $30,000. Any...
-
A 2.3-kg ball dropped from a height of \(2.0 \mathrm{~m}\) onto a steel plate rigidly attached to the ground bounces back to a height of \(1.7 \mathrm{~m}\). (a) What is the impulse delivered to the...
-
On July 1, 2016, Roland Company exchanged 18,000 of its $45 fair value ($1 par value) shares for all the outstanding shares of Downes Company. Roland paid acquisition costs of $40,000. The two...
-
QUESTION THREE (a) (b) Joseph intends to start a small business specializing in software development to cater for the youth; however a business consultant has advised him to be extra careful before...
-
Sox Engineering designs and constructs air condi-tioning and heating systems for hospitals and clinics. Currently, the companys staff is overloaded with design work. There is a major design project...
-
A solid cylinder has radius r cm and height h cm. The volume of this cylinder is 250 cm 3 and the surface area is A cm 2 . a. Express h in terms of r. b. Show that A = 2r 2 + 500/r. c. Find dA/dr and...
-
The curve y = ax 2 + bx has gradient 8 when x = 2 and has gradient 10 when x = - 1. Find the value of a and the value of b.
-
For diagrams (a)-(d), compute the unknown values W, X, Y, Z, respectively (a) (b) (c) (d) 100 7S 4 50 25 10% 300 200 100 -3_4-5 i 10% 300 200 100 i-10% : 100 100 50 js 10% 2
-
Discuss the use of pallets in a shipping system. What considerations must be taken when deciding whether or not a pallet is required for a specific shipment of boxes? What considerations must be made...
-
Read the Google Terms of Service (GTOS) document thoroughly! GTOS is linked on the Contract Assignment/Exercise page on Moodle and above in this message. Please answer each question about Tiffany...
-
What are the many advantages of branding? Number the advantages and describe each concisely.
-
4. Symbol table: Consider the following program in a lexically-scoped language such as C. int x,y; int f(int p) { } int y, z; int i, j; /* Point A */ /* Point B */ /* Point C*/ a. How can the...
-
Title of your Story Board - What genre you would make this movie - e.g. adventure, comedy, action, fantasy, science fiction or a coming of age story. The issue in the plot of your meeting. Characters...
-
DiSalvio Co. uses a job order cost system. The following data summarize the operations related to production for May: a. Materials purchased on account, $634,000. b. Materials requisitioned,...
-
The words without recourse on an indorsement means the indorser is: a. not liable for any problems associated with the instrument. b. not liable if the instrument is dishonored. c. liable personally...
-
What is an information system? How does it work? What are its management, organization, and technology components? Why are complementary assets essential for ensuring that information systems provide...
-
What academic disciplines are used to study information systems and how does each contribute to an understanding of information systems? a. List and describe each discipline that contributes to a...
-
How do systems serve the different management groups in a business, and how do systems that link the enterprise improve organizational performance? a) Describe the characteristics of transaction...
-
What are the 2 types of memos? Explain each. Should a memo be aligned left OR right of the margin? Explain Why should you provide background information in the introduction of a memo? Why do we need...
-
The sale price of a spring break vacation package was $305.99, and the travel agent said by booking early, you saved $10. Find the percent reduction in price. Round the answer to the nearest tenth of...
-
a) Consider the vector field on the circle given by = 2 sin 0. Show that this system has a single-valued potential V(0) i.e., for each point on the circle, there is a well-defined value of V such...
Study smarter with the SolutionInn App