The diagram shows the line y = x 1 meeting the curve with equation y =

Question:

The diagram shows the line y = x − 1 meeting the curve with equation y = (x − 1)(x − 5) at A and C.

The curve meets the x-axis at A and B.

a. Write down the coordinates of A and B and find the coordinates of C.

b. Find the area of the shaded region bounded by the line, the curve and the x-axis.

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

Step by Step Answer:

Related Book For book-img-for-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 03:52 AM

See More Questions

The diagram shows the curve y = x 2 ln x and its minimum point M. i. Find the exact values of the coordinates of M. ii. Find the exact value of the area of the shaded region bounded by the curve, the...
The diagram shows part of the curve of y = 9x 2 x 3 , which meets the x-axis at the origin O and the point A. The line y 2x + 18 = 0 passes through A and meets the y-axis at the point B. a. Show...
The diagram shows part of the curve y = 2 sin 3x. The normal to the curve y = 2 sin 3x at the point where x = /9 meets the y-axis at the point P. a. Find the coordinates of P. b. Find the area of the...
Julio sold his corporation to a competitor, Exeter LLC, for $100,000,000. Julio incorporated his business 17 years ago by investing $500,000 plus his proprietary know-how. There have been no other...
Two workers have the job of placing plastic labels on packages before the packages are shipped out. The first worker can place 1000 labels in 30 minutes. The second worker can place 850 labels in 20...
What is the pH of a solution when [H+] is 3.44 104 M?
6. Describe the process by which constructive gains on intercompany bonds are realized and recognized on the books of the affiliates. Does recognition of a constructive gain in consolidated financial...
Fisher Fine Coffees, Inc., reported the following items, listed in no particular order, at December 31, 2014 (in thousands): Income tax of 35% applies to all items. Prepare Fisher Fine Coffees multi-...
The financial statements of a partnership are similar to those of a proprietorship. Select one: O True False A bonus to the remaining partners results when a retiring partner receives partnership...
Henri of Henris French Cuisine (HFC), a chain of 12 restaurants, is trying to decide if it makes sense to outsource the purchasing function. Currently, Henri employs two buyers at an annual fixed...
The value of a car is modelled by the formula V = 20 000 e t/12 where V is the value in s and t is its age in years from new. a. State its value when new. b. Find its value (to the nearest ) after 4...
The vector 9i + qj is parallel to the vector 2i j. Find the value of the constant q.
Consider a Weibull distribution with shape parameter 1.5 and scale parameter 2.0. Generate a graph of the probability distribution. Does it look very much like a normal distribution? Construct a...
2. (40 marks) Solve for y(t) such that y" - 6y' + 15y = 2 sin(3t),
6. Determine output class A{ ); } public static void main(String args[]) { int x; x = 10; if (x == 10) { int y = 20; System.out.print ("x and y: y = x*2; + y); } y = 100; } System.out.print ("x and...
Anita and Bonita have been roommates for the past two years while they've been in graduate school. Now that they're graduating, they are each planning to move to different cities. Their one joint...
To what extent are business ethics assumed, or taken for granted, by people in businesses?
Empowered by what he has learned in this class about gender, Brady makes a friendly wager with his girfriend, Marlisa: "I bet I can guess how the men and women at the next table will behave during...
The KJ Auto Sales, Inc., received the following notes during 2016: Requirements 1. Identifying each note by number, compute the total interest on each note over the note term using a 360-day year,...
What exactly is a prima facie duty? How does an ethic of prima facie duties differ from monistic and absolutist ethical theories?
Answer the questions in Problems 13.67 and 13.63 using generalized estimating equation methods, and compare results with the solution to Problems 13.6213.63? Otolaryngology A longitudinal study was...
Provide a 95% CI for the true difference in incidence rates for children with siblings between those with and without a sibling history of ear infection? Otolaryngology A longitudinal study was...
Using the results from Problem 13.74, obtain a measurement-error-corrected OR and 95% CI for each of the hormones? The hormones in Table 13.51 were also included in the reproducibility study...
A family has a $117,443, 25-year mortgage at 5.4% compounded monthly. (A) Find the monthly payment and the total interest paid. (B) Suppose the family decides to add an extra $100 to its mortgage...
Comparing the actual and planned cost of a consulting engagement completed by an engineering firm such as Allied Engineering.
What is the NPV of a project that costs $34,000 today and is expected to generate annual cash inflows of $11,000 for the next 7 years, followed by a final inflow of $14,000 in year 8. Cost of capital...

The diagram shows the line y = x 1 meeting the curve with equation y =

Question:

y = x-1 B y=(x-1)(x - 5)

Step by Step Answer:

a From the given information we can determine the coordinates of points A B and C Point A The curve ...View the full answer

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

Students also viewed these Mathematics questions