The diagram shows the curve with equation y = 5 + 2x x 2 and the

Question:

The diagram shows the curve with equation y = 5 + 2x − x² and the line with equation y = 2.

The curve and the line intersect at the points A and B.

a. Find the x-coordinates of A and B.

b. The shaded region R is bounded by the curve and the line. Find the area of R.

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 15, 2023 04:11 AM

See More Questions

The line with equation y = 10 x cuts the curve with y = 2x 2 5x + 4 at the points A and B, as shown. a. Find the coordinates of A and the coordinates of B. The shaded region R is bounded by the...
The diagram shows part of the curve with equation y = x 3 6x 2 + 9x. The curve touches the xaxis at A and has a local maximum at B. a. Show that the equation of the curve may be written as y = x(x ...
The diagram shows part of the curve y = 2 x 2 ln(x + 1). The shaded region R is bounded by the curve and by the lines x = 0, x = 1 and y = 0. Use the trapezium rule with intervals to estimate the...
Suppose that we have a linear program that is not in standard form. We could produce the dual by first converting it to standard form, and then taking the dual. It would be more convenient, however,...
RadioShack Corporation primarily engages in the retail sale of consumer electronics goods and services through 4,467 company-operated stores under the RadioShack brand, located throughout the United...
Refer to Exercise 7.63. In exercise 7.63 After watching several seasons of soccer a statistician produced the following bivariate distribution of scores. a. Determine the probability distribution of...
How might a hacker access and manipulate a digital device for illegal purposes? Are the Internet of Things (IoT) devices at risk for hacker access and manipulation?
A partial adjusted trial balance of Ruiz Company at January 31, 2014, shows the following. Instructions Answer the following questions, assuming the year begins January 1. (a) If the amount in...
Activity 1 Response: Measure the temperature of the environment (ambient temperature), the human body (both forehead and under the tongue), and two other objects in the room. Record this information...
a. Find (x 1/2 4)(x 1/2 1)dx. b. Use your answer to part a to evaluate giving your answer as an exact fraction. (x-4)(x--1)dx
The diagram shows a sketch of the curve with equation a. Show that b. At the point B on the curve the tangent to the curve is parallel to the x-axis. Find the coordinates of the point B. c. Find, to...
Write a program that computes the edit distance (also called the Levenshtein distance, for its creator Vladimir Levenshtein) between two words. The edit distance between two strings is the minimum...
In September, Numbers Incorporated sold 50,000 units of its only product for $273,000, and incurred a total cost of $255,000, of which $28,000 was fixed costs. The flexible budget for September...
Today, interest rates on 1-year T-bonds yield 1.8%, interest rates on 2-year T-bonds yield 2.2%, and interest rates on 3-year T-bonds yield 3.4%. a. If the pure expectations theory is correct, what...
What makes for a good billing system? Why is a good billing system important in a family law firm?
what are the advantages and disadvantages of mediation and collaborative law in divorce cases?
Describe the role of societal values in the development of family law.?
How are the two redox reactions of b-oxidation different from their counterparts in fatty-acid synthesis?
Uniform electric field in Figure a uniform electric field is directed out of the page within a circular region of radius R = 3.00 cm. The magnitude of the electric field is given by E = (4.50 x 10-3...
The monthly value of U.S. exports to Japan (in $millions) and imports from Japan from 1985 to 2016 was recorded. a. Draw a line chart of U.S. exports to Japan. b. Draw a line chart of U.S. imports...
The monthly value of U.S. exports to China (in $millions) and imports from China from 1985 to 2016 was recorded. a. Draw a line chart of U.S. exports to China. b. Draw a line chart of U.S. imports...
The exchange rate of the Canadian dollar to one U.S. dollar was recorded monthly for the period 1971 to 2016. Draw a graph of these figures and interpret your findings.
Consider the line -9x-6y=2. What is the slope of a line perpendicular to this line? What is the slope of a line parallel to this line?
Before and after-tax cost of debt For the following $1,000-par-value bond paying semi-annual interest payments, calculate the before- and after-tax cost of debt. Use the 21% corporate tax rate....
Using the following information for McDonovan, Inc.'s stock, calculate the stock's expected return. State Probability Return Boom 20% 40% Normal 60% 15% Recession 20%-20%

The diagram shows the curve with equation y = 5 + 2x x 2 and the

Question:

A 0 R B - y = 2 X y = 5+2x-x²

Step by Step Answer:

a To find the xcoordinates of points A and B where the curve y 5 2x x2 and the line y 2 intersect we ...View the full answer

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

Students also viewed these Mathematics questions