The curve C passes through the point (3, 10) and its gradient at any point is given
Question:
The curve C passes through the point (3, 10) and its gradient at any point is given by dy/dx = 6x² − 4x + 3.
a) Find the equation of the curve C.
b) Show that the point (2, −21) lies on the curve.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 66% (6 reviews)
a Integrating the given gradient function with respect ...View the full answer
Answered By
Rodrigo Louie Rey
I started tutoring in college and have been doing it for about eight years now. I enjoy it because I love to help others learn and expand their understanding of the world. I thoroughly enjoy the "ah-ha" moments that my students have. Interests I enjoy hiking, kayaking, and spending time with my family and friends. Ideal Study Location I prefer to tutor in a quiet place so that my students can focus on what they are learning.
5.00+
1+ Reviews
10+ Question Solved
Related Book For
Complete Pure Mathematics 1 For Cambridge International AS & A Level
ISBN: 9780198427438
2nd Edition
Authors: Jean Linsky, Brian Western, James Nicholson
Question Posted:
Students also viewed these Mathematics questions
-
The curve C passes through the point (3, 21) and its gradient at any point is given by dy/dx = 3x 2 4x + 1. a. Find the equation of the curve C. b. Show that the point (2, 9) lies on the curve.
-
A resistor R (R = 0.4) and an inductor L (L = 0.08 H) are connected as shown. Initially, the switch is connected to point A and there is no current in the circuit. At t = 0 the switch is moved from A...
-
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...
-
What are the advantages and disadvantages of the net realizable method of allocating joint costs?
-
CRUZ, INC. Comparative Balance Sheets December 31, 2015 CRUZ, INC. Income Statement For Year Ended December 31, 2015 Required Use the indirect method to prepare the cash provided or used from...
-
What information does the term symbol 1 D 2 provide about the angular momentum of an atom?
-
Sarbanes-Oxley legislation calls for sound internal control practices over financial reporting and requires SEC-registered corporations to maintain systems of internal control that meet SOX...
-
This information relates to Rana Co. 1. On April 5, purchased merchandise from Craig Company for $25,000, terms 2/10, net/30, FOB shipping point. 2. On April 6, paid freight costs of $900 on...
-
B nd the explicit formula for the given sequence. 1, 5, 25, 125, a=3 a=5"-1 a=3.5-1 9=2.5"-1 -1
-
As the manager of credit card services at Bank of Hanover (BOH), you're aware that the average profitability of a credit card customer grows with the number of years they have used the credit card....
-
The diagram shows a plan for a rectangular piece of land ABCD. AD = 40 metres. Vegetables are going to be planted in the triangular vegetable patch ACP. BP = CD= x metres. a) Show that the area, A m...
-
a) Differentiate with respect to x b) Find 5x4+6VX -6x - 3-x 2.x
-
An airplane has a velocity relative to the air of 200 m/s in a westerly direction. If the wind has a speed relative to the ground of 60 m/s directed to the north, what is the speed of the airplane...
-
A__________ team is a geographically distributed, functionally and/or culturally diverse group of individuals who rely on interactive technology such as e-mail, Web casts, and videoconferencing to...
-
How many days does the defendant have to remove an action to federal court after the defendant receives notice of the plaintiffs state court complaint?
-
Locate a sample settlement brochure. What type of case are settlement brochures best used for?
-
Two ways of thinking about the systems development process are the lifecycle approach and the sociotechnical design approach. What are the major similarities and differences between the two...
-
Why do auditors need a normative model of the systems development process? How might the adequacy of normative models of the systems development process be evaluated?
-
A cylindrical specimen of a brass alloy 7.5 mm (0.30 in.) in diameter and 90.0 mm (3.54 in.) long is pulled in tension with a force of 6000 N (1350 lbf); the force is subsequently released. (a)...
-
The domain of the variable in the expression x 3/x + 4 is________.
-
The U.S. Bureau of Labor Statistics conducts regular surveys to determine how Americans are spending their money. The annual expenditures for vehicle insurance of a random sample of American...
-
Each year Michigan State Universitys Collegiate Employment Research Institute tracks starting salaries of graduates. The Institute recorded the starting salaries of the following engineers: chemical,...
-
Another useful measure of Americans beliefs about the state of the economy is the age at which they believe they will retire. If non retired people believe that they will need to work longer to be...
-
The following financial statements were prepared at the end of the month of May:TOPS IN TOPIARY - INCOME STATEMENT FOR the month of MayRevenue$2, 540Expenses :Rent Expense$ 500Advertising Expense$...
-
Question content area top Part 1 ?________ consider proposed fixedminusasset ?outlays, research and development? activities, marketing and product development? actions, capital? structure, and major...
-
Samsung Inc. Stockholder's Equity Common Stock, $10 Par (Stated Value) $800,000Paid in Capital in Excess of Par (Stated Value) $125,000Retained Earnings XTreasury Stock, 20,000 shares $150,000Total...
Study smarter with the SolutionInn App