The curve y = x and the line y = x meet at the points A and
Question:
The curve y² = x and the line y = x meet at the points A and B.
a) Find the coordinates of the points A and B.
b) Sketch the curve y² = x and the line y = x on one set of axes.
c) Find the volume obtained when the region between the line and the
curve is rotated through 360° about the x-axis.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 66% (6 reviews)
a To find the coordinates of the points A and B we can substitute y x into the equat...View the full answer
Answered By
Dhananjay Kadlag
I have a significant tutoring experience in my B.Tech journey. I used to teach primary and secondary school students by solving and clearing their doubts in my free time. Apart from that I also use to teach students new chapters of the various Science and Maths subjects.
0.00
0 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 equation of a curve is i. Find an expression for dy/dx and determine, with a reason, whether the curve has any stationary points. ii. Find the volume obtained when the region bounded by the...
-
The diagram shows part of the curve The line y = 7 intersects the curve at the points P and Q. a. Find the coordinates of P and Q. b. Find the volume obtained when the shaded region is rotated...
-
The diagram shows the line y = 1 and part of the curve with equation y = 4 x. a) Find the volume obtained when the shaded region is rotated through 360 about the x-axis. b) Find the volume obtained...
-
Name four ways to mitigate the incentives for managers to overproduce.
-
When a spreadsheet for a statement of cash flows is prepared, all changes in noncash balance sheet accounts are fully explained on the spreadsheet. Explain how these noncash balance sheet accounts...
-
Marlow Co. started a new business on October 1, 2021. That same day, Marlow Co. also received $400,000 of cash from issuing common stock and borrowed $190,000 from a friend. On October 1, 2021 Marlow...
-
According to Einstein's theory of relativity, light should bend when it passes through a gravitational field. This was first tested experimentally in 1919 when photographs were taken of stars near...
-
On January 1, 2010, the Kelly Corporation acquired bonds with a face value of $500,000 for $483,841.79, a price that yields a 10% effective annual interest rate. The bonds carry a 9% stated rate of...
-
How would you describe yourself as a leader? What do you base your leadership approach upon? What approaches? Mentors? Practices? Traditions? (please include references in APA 7th edition format) Why...
-
VF Corporation is an apparel company that owns recognizable brands like Timberland, Vans, Reef, and 7 For All Mankind. Exhibit 5.18 and 5.19 present balance sheets and income statements,...
-
The diagram shows a sector OAB of a circle with centre O and radius r cm. The angle AOB is radians and the perimeter of the sector is 30 cm. a) Show that = 30/r 2. b) Find the area of the sector...
-
The diagram shows part of the curve with equation y = x 12x + 36x. The x-axis is a tangent to the curve at P. a) Find the coordinates of P. The curve has a maximum turning point at Q. b) Find the...
-
Conduct the F test for the existence of a linear relationship between the two variables in problem 1011. In problem Income quartile: Wealth growth (%): 17.3 23.6 40.2 45.8 56.8
-
The Constitution of the United States and the Canadian Charter of Rights and Freedoms. Contrast these two systems pointing out their similarities and differences if any.
-
Consider following quotes: Currency EUR/USD GBP/USD USD/JPY USD/CHF USD/CAD USD/BRL Bid Rate 1.2310 1.7945 110.73 1.2810 1.1514 2.1780 Question-2 (10pt): Currency EUR/USD GBP/USD USD/JPY USD/CHF...
-
Have you ever been misinterpreted in an email or instant message because the receiver could not see your facial expressions or hear your tone of voice? Describe what happened and how you handled the...
-
solve the SERVER SIDE Questions ONLY : Directions: Now that you know what the differences are and can design the code for various operating platforms ( as seen above ), you will use your experience...
-
Whispering Winds Company exchanges old delivery equipment for new delivery equipment. The book value of the old delivery equipment is $31,900 (cost $61,900 less accumulated depreciation $30,000). Its...
-
What annual rate of interest was earned if a $15,000 investment for five months earned $546.88 in interest?
-
Describe a job you have had in the past or a job you are very familiar with. Indicate the negative aspects of the job and how it could be improved with current human resource management techniques.
-
The manager of a personnel company is in the process of examining her companys advertising programs. Currently, the company advertises in each of the three local newspapers for a wide variety of...
-
Many North Americans suffer from high levels of cholesterol, which can lead to heart attacks. For those with very high levels (over 280), doctors prescribe drugs to reduce cholesterol levels. A...
-
The manager of a chain of electronic products retailers is trying to decide on a location for its newest store. After a thorough analysis, the choice has been narrowed to three possibilities. An...
-
b) Consider the following problem: You have three jugs, measuring 12 gallons, 8 gallons, and 3 gallons, and a water faucet. You can fill the jugs up or empty them out from one to another or onto the...
-
How do you define excellent customer service in a Human Resources setting?
-
News Corp has been heavily criticised by investors and fund managers for both large bonuses paid to executives, and its focus on short-term performance. The company recently restructured its...
Study smarter with the SolutionInn App