The diagram shows part of the curve The shaded area is rotated through 360 about the x-axis
Question:
The diagram shows part of the curve
The shaded area is rotated through 360° about the x-axis between x = 0 and x = p. Show that as p → ∞, the volume approaches the value 2π.
Transcribed Image Text:
y = 2 2x+1
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 16% (6 reviews)
To find the volume of the solid of revolution we can use the formula V ab y2 dx w...View the full answer
Answered By
Anik Kumar Bosu
I am expert in Maths, Physics, Chemistry and Biology. I also teach student from 3 years. Students becomes satisfied by my teaching. So, do not worry.
0.00
0 Reviews
10+ Question Solved
Related Book For
Cambridge International AS And A Level Mathematics Pure Mathematics 1 Coursebook
ISBN: 9781108407144
1st Edition
Authors: Sue Pemberton, Julian Gilbey
Question Posted:
Students also viewed these Mathematics questions
-
Each year, tornadoes that touchdown are recorded by the Storm Prediction Center and published in Monthly Tornado Statistics. The following table gives the number of tornadoes that touched down in the...
-
The diagram shows part of the curve The point P(4, 3) lies on the curve. a. Find the volume obtained when the shaded region is rotated through 360 about the y-axis. b. Find the volume obtained when...
-
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...
-
Pipestone Ltd. (Pipestone) uses an aging schedule to estimate the amount of receivables that won't be collected. Pipestone allows its customers up to 60 days to pay amounts owed. Any receivable...
-
Indicate whether each of the following statements is (i) Always true, (ii) Sometimes true, or (iii) Never true. For those that are (ii) Sometimes true, explain when the statement is true. a. The...
-
According to a recent Pew Research Center Survey (December 2015), 15% of U.S. adults admitted they are "cord cutters," i.e., they canceled the cable/satellite TV service they once subscribed to. In a...
-
Air flows past an object in a pipe of 2-m diameter and exits as a free jet as shown in Fig. P5.122. The velocity and pressure upstream are uniform at \(10 \mathrm{~m} / \mathrm{s}\) and \(50...
-
Given the following balance sheet, fill in the ratio values for 2013 and discuss how these results compare with both the industry average and prior average performance of Sophie Enterprises. SOPHIE...
-
examine theoretical constructs such as thinking, learning, and memory and how they occur. examine a related theoretical construct - consciousness. The understanding of consciousness (what it is and...
-
In exercises 10-16, determine which of the eight guidelines appears to be most relevant. Explain your reasoning. Example: 9.) The Winslow Supply Company manufactures deodorants and sponsored a survey...
-
The diagram shows part of the curve and the tangent to the curve at P(9, 4). a. Find the equation of the tangent to the curve at P. b. Find the area of the shaded region. Give your answer correct to...
-
The tangent to the curve y = 8x x 2 at the point (2, 12) cuts the x-axis at the point P. a. Find the coordinates of P. b. Find the area of the shaded region. P YA (2, 12) y = 8x-x X
-
What are the documentation retention requirements of AS 3?
-
= Par $1,000; Coupon=6%, annually paid; Maturity 3 years. Forward rates: First year: 6%, Second year: 7%, Third year: 8% a) Calculate the current price of the above bond using the forward rates. b)...
-
1. Calculate EFN (reconciled with Income Statement) 2. Prepare a projected income statement and balance sheet for 2019 (reconciled) Cash Marketable securities Accounts receivable Inventory Total...
-
= Par $1,000, Maturity= 3 years, Coupon 7%, annually paid What is the above bond's modified duration? YTM = 9% ,
-
The following are estimates for stocks A and B : Stock A: Stock B: E(r) = 12%, E(r) = 17%, =0.7, = 1.1, (e) = 20% (e) = 30% You construct a portfolio (Q) with the following proportions: Stock A: 30%,...
-
Consider two stocks: WMT and IBM with the following properties Stock E(r) (r) WMT 8% 13% IBM 12% 20% The correlation of the two stock returns is WMT,IBM = 9% and the risk-free rate is rf = 1%. You...
-
What are the auditor independence issues surrounding the provision of external auditing services, internal auditing services, and management consulting services for the same client? Develop arguments...
-
What are the two components of a company's income tax provision? What does each component represent about a company's income tax provision?
-
What test can be used to compare the variance of ln (ERG amplitude) between patients with dominant vs. recessive RP? Ophthalmology A study compared mean electroretinogram (ERG) amplitude of patients...
-
Implement the test in Problem 8.90, and report a p- value (two-tailed)? Ophthalmology A study compared mean electroretinogram (ERG) amplitude of patients with different genetic types of retinitis...
-
What test can be used to compare the mean ln (ERG amplitude) between patients with dominant vs. recessive RP? Ophthalmology A study compared mean electroretinogram (ERG) amplitude of patients with...
-
A good general guide is not to schedule a scarce resource for more than what percentage of capacity?
-
During an initial client meeting with Broadside Enterprises, the external auditors, RayBright CPAS are discussing the client's needs. Broadside management has agreed to hire the auditor and provided...
-
How do I post this to the ledger A count of office supplies shows that there is $3,250 of ink cartridges remaining on hand?
Study smarter with the SolutionInn App