a) Sketch the curve y = x(x 1) showing clearly where the curve crosses the x-axis.
Question:
a) Sketch the curve y = x(x² − 1) showing clearly where the curve crosses the x-axis.
b) Find the area between the curve and the x-axis.
c) Find the volume obtained when the
area bounded by the curve and the
positive x-axis is rotated 360° about
the x-axis.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 55% (9 reviews)
Answered By
Khurram shahzad
I am an experienced tutor and have more than 7 years’ experience in the field of tutoring. My areas of expertise are Technology, statistics tasks I also tutor in Social Sciences, Humanities, Marketing, Project Management, Geology, Earth Sciences, Life Sciences, Computer Sciences, Physics, Psychology, Law Engineering, Media Studies, IR and many others.
I have been writing blogs, Tech news article, and listicles for American and UK based websites.
4.90+
5+ Reviews
17+ 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 y = 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 y = x and the line y = x on one set of axes. c) Find the volume...
-
a. Sketch the curve y = (x 3) 2 + 2. b. The region enclosed by the curve, the x-axis, the y-axis, the line x = 3 is rotated through 360 about the x-axis. Find the volume obtained, giving your answer...
-
Develop the Weighted Average Cost of Capital (WACC) for a business Case Study Requirements Given the following inputs and assumptions, estimate the WACC for Gallo Distributors, Inc Riskfree rate 1...
-
Consider a single toss of a fair coin, and define X as the number of heads that come up on that toss. Then X can be 0 or 1, with a probability of 50 %. The expected value of X is 1/2 . Can we expect...
-
Refer to Apples financial statements in Appendix A to answer the following. 1. Is Apples statement of cash flows prepared under the direct method or the indirect method? How do you know? 2. For each...
-
A reversible engine working between two reservoirs at temperatures Th and Tc has an efficiency of 30%. Working as a heat engine, it gives off 140 J of heat to the cold reservoir. A second engine...
-
What are the differences that should be considered when international sales managers draw up their export plans?
-
Majka Company was started on January 1, 2016. During 2016, the company experienced the following three accounting events: (1) earned cash revenues of $28,600, (2) paid cash expenses of $13,200, and...
-
Kohler Corporation reports the following components of stockholders' equity at December 31 of the prior year. Common stock-$20 par value, 100,000 shares authorized, 55,000 shares issued and...
-
Butler, Inc., operates at capacity and makes wooden playground equipment. Although Butlers swing sets and play forts are a matching set, they are sold individually and so the sales mix is not 1:1....
-
The region bounded by the curve 4y = x, the line x = 4 and the line y = 1, is rotated through 360 about the x-axis. Find the volume of the solid formed.
-
Find the area bounded by the curve y = 2 + x x and the line y = x + 1.
-
SodaFizz paid a dividend of $2 per share last year; its dividend has been growing at a rate of 2% per year, and that growth rate is expected to continue into the future. The stock of SodaFizz is...
-
The following extract is taken from a report prepared for the Auditor General for Scotland in November 2008. It analyses the case for a change to a rail service. Additional North Berwick services and...
-
Think of a decision you have taken recently where there was some uncertainty at various stages of the process. How did you deal with the uncertainty? Could you represent the decision as a decision...
-
Think of a decision you have made recently, such as going on holiday or renting a new flat. What were the relevant costs and benefits that you considered in making the decision?
-
The following table shows the number of patients treated and the total costs for a hospital for each of the past four months: Applying the high-low method to the above information, an equation that...
-
Those who comment on the applications of costvolumeprofit analysis always emphasise that it is a short-run decision-making tool. Write a 200-word note explaining this view.
-
What are [Pb2+] and [I] in a saturated solution of PbI2? The Ksp for PbI2 is 9.8 109.
-
If the cylinder described in Problem 21.3 were initially heated to 500F, how long would it take for the center of the cylinder to cool to 240F if it were constructed of a. Copper? b. Brass? c. Nickel?
-
Repeat Exercise 16.74 for amount spent on food away from home (FOODAWAY). In exercise 16.74 How much more do households have to spend on food when there are children living at home? a. Conduct a test...
-
Briefly describe the difference between predicting a value of y and estimating the expected value of y.
-
Will the prediction interval always be wider than the estimation interval for the same value of the independent variable? Briefly explain.
-
Beswick Limited manufactures mountain and road bikes. The trial balance at 3 1 December 2 0 2 0 was as follows: Dr Cr Revenue 3 , 5 6 4 , 3 0 0 Purchases 1 , 5 7 8 , 2 5 0 Inventory on 3 1 / 1 2 / 1...
-
Amity Holdings Pty Limited ( Amity ) is an Australian resident company that was incorporated during 2 0 2 2 . After purchasing several investments including real estate and shares, in 2 0 2 3 Amity...
-
Selena has $ 1 8 0 0 in taxes payable for the most recent year. By using non - refundable tax credits, she is able to reduce her taxes payable to zero. She is not able to use a charitable...
Study smarter with the SolutionInn App