The curve with equation y = ax 2 + bx + c passes through the point (1,

Question:

The curve with equation y = ax² + bx + c passes through the point (1, 2). The gradient of the curve is zero at the point (2, 1). Find the values of a, b and c.

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

Step by Step Answer:

Related Book For answer-question

Edexcel AS And A Level Mathematics Pure Mathematics Year 1/AS

ISBN: 9781292183398

1st Edition

Authors: Greg Attwood

See More Books

Question Posted: Jul 16, 2023 12:48 AM

See More Questions

The diagram shows the curve with equation y = x 2 2x. a. Copy and complete this table showing estimates for the gradient of the curve. b. Write a hypothesis about the gradient of the curve at the...
The diagram shows part of the curve with equation y = p + 10x x 2 , where p is a constant, and part of the line l with equation y = qx + 25, where q is a constant. The line l cuts the curve at the...
The point A with coordinates (1, 4) lies on the curve with equation y = x 3 + 3x. The point B also lies on the curve and has x-coordinate (1 + x). a. Show that the gradient of the line segment AB is...
Find the lengths of the curves. The curve r = a sin 2 (/2), 0 , a > 0
IBM is considering having its German affiliate issue a 10 year, $100 million bond denominated in euros and priced to yield 7.5%. Alternatively, IBM's German unit can issue a dollar-denominated bond...
The shaft consists of two sections that are rigidly connected. If the material is elastic perfectly plastic as shown, determine the largest torque T that can be applied to the shaft. Also, draw the...
Petitioner Curtis Flowers has been tried six separate times for the murder of four employees of a Mississippi furniture store. Flowers is black; three of the four victims were white. At the first two...
Michelle French owns and operates Books and More, a retail book store. Selected account balances on June 1 are as follows: General Ledger Cash ............... $32,200.00 Accounts Payable ..............
How does Visual Basic 2015 facilitate connecting to and using a database? What do you find easy or challenging about making a database connection?
a. Expand (x 3/2 1)( x 1/2 + 1). b. A curve has equation y = (x 3/2 1)(x 1/2 + 1), x > 0. Find dy/dx. c. Use your answer to part b to calculate the gradient of the curve at the point where x = 4.
A curve C has equation y = x 3 5x 2 + 5x + 2. a. Find dy/dx in terms of x. b. The points P and Q lie on C. The gradient of C at both P and Q is 2. The x-coordinate of P is 3. i. Find the...
Refer to the data in exercise 31. Consider a model in which only Industry is used to predict Delay. At a .01 level of significance, test for any positive autocorrelation in the data. Data From...
Identify the market structure Coles and Woolworths operate in. Make sure you justify your choice of market structure using all of the market characteristics used to classify markets. Using your own...
Sarah owns 100% of FlexCo Corporation. In 2021, she transfers a building with a fair market value of $1,000,000 and a basis of $300,000 to FlexCo for additional shares of FlexCo stock. FlexCo assumes...
You own 2 0 0 shares of the stock of unlevered Siena company which has 1 , 0 0 0 shares outstanding. Siena plans to pay $ 2 , 3 0 0 dividend at the end of the current year ( i . e . at the end of one...
Read the article Buy Yourself Less Stuff by MP Dunleavy and then answer the following questions: 1. What is the main idea of an article? 2. What does the author mean in paragraph 8 and how does this...
As the old saying goes, "it's not what you say, it's how you say it." Words, actions, and visuals have a somewhat equal impact depending on the issues and social circumstances we are in. What is the...
What is the point to labeling a secondary an-tibody with a marker that can be visualized instead of just labeling the primary antibody?
A consumer magazine is evaluating five brands of trash compactors for their effectiveness in reducing the volume of typical household products that are discarded. In the experiment, each block...
For the following data, assuming a between-groups design, determine: a. df between b. df within c. df total d. The critical value, assuming a p value of 0.05 e. The mean for each group and the grand...
Calculate the F statistic, writing the ratio accurately, for each of the following cases: a. Between-groups variance is 29.4 and within-groups variance is 19.1 b. Within-groups variance is 0.27 and...
In a classic prisoners dilemma game with money for prizes, players who cooperate with each other both earn good prizes. If, however, your opposing player cooperates but you do not (the term used is...
Use the given information to find the balance in the account earning compound interest after 6 years when the principal is $3500. Round your answer to the nearest cent. r=2.29%, compounded monthly...
At the beginning of 2025 Spartan Corp enters into a contract to build a luxury yacht for a customer that is expected to take three years to complete. The contract price is $4,000,000. Completion is...
complier design 10 marks 3. Construct an LR (1) prease table and validate the membership of the following string ab in the language produced by C AB/Aa | Bb the - grammer

The curve with equation y = ax 2 + bx + c passes through the point (1,

Question:

Step by Step Answer:

To find the values of a b and c well use the information given about the curve passing through the p...View the full answer

Edexcel AS And A Level Mathematics Pure Mathematics Year 1/AS

Students also viewed these Mathematics questions