The region of Figure 20 is revolved about the line y = K, generating a solid. (a)
Question:
(a) Use cylindrical shells to write a formula for the volume in terms of w(y).
(b) Show that Pappus's formula, when simplified, gives the same result.
Transcribed Image Text:
w(y) a x
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 83% (6 reviews)
a V 2K yw yy b m w yy so M x y...View the full answer
Answered By
Muhammad Salman Alvi
Well, I am a student of Electrical Engineeing from Information Technology University of Punjab. Just getting into my final year. I have always been good at doing Mathematics, Physics, hardware and technical subjects. Teaching profession requires a alot of responsibilities and challenges.
My teaching experience started as an home tutor a year ago. When I started teaching mathematics and physic subjects to an O Level student. He was about 14 years old. His name was Ibrahim and I used to teach him for about 2 hours daily. Teaching him required a lot of patience but I had to be polite with him. I used to give him a 5 min break after 1 hour session. He was quite weak in basic maths and calculation. He used to do quite a lot of mistakes in his homework which I gave him weekly. So I decided to teach him basics from scratch. He used to say that he got the concept even if he didn't. So I had to ask him again and again. I worked on his basics for a month and after that I started taking a weekly test sesions. After few months he started to improve gradually. Now after teaching him for about a year I can proudly say that he has improved alot. The most important thing was he managed to communicate all the difficullties he was facing. He was quite capable and patient. I had a sincere desire to help him reach to its full potential. So I managed to do that. We had a very good honest relationship of a student and a teacher. I loved teaching him as a tutor. Now having an experience of one year teaching I can read students quite well. I look forward to work as an online tutor who could help students in solving their all sort of difficulties, problems and queries.
4.90+
29+ Reviews
43+ Question Solved
Related Book For
Question Posted:
Students also viewed these Calculus questions
-
Use cylindrical shells to find the volume of the solid. 43. A sphere of radius r 44. The solid torus of Exercise 61 in Section 6.2 45. A right circular cone ith height h and base radius r
-
The circle x = a cos t, y = a sin t, 0 t 2, is revolved about the line x = b, 0 < a < b, thus generating a torus (doughnut). Find its surface area.
-
Find the volume of the solid generated in the following situations. The region R is bounded by the graph of f(x) = 2x(2 - x) and the x-axis. Which is greater, the volume of the solid generated when R...
-
Pantheon Gaming, a computer enhancement company, has three product lines: audio enhancers, video enhancers, and connection-speed accelerators. Common costs are allocated based on relative sales. A...
-
Study the following sentence from an actual message: Management was the driving farce behind the project. How could this proofreading error be costly?
-
What are the barriers to internationalization for SMEs? LO4
-
12. What risks are assumed by employees making an 83 (b) election on a restricted stock grant?
-
For the decision problem in Figure 6.1, use data tables to perform the following sensitivity analyses. The goal in each is to see whether decision 1 continues to have the largest EMV. In each part,...
-
4 . What was the Pen Division s operating income for 2 0 2 3 ? Use normal costing and adjust for mis - applied MOH. 5 . Use the 2 0 2 3 actual monthly MOH information ( see table C ) to calculate...
-
1. Based on their home country, how might the organizational cultures of the four companies mentioned be distinct from one another, and in what ways could they be the same? 2. If the first two...
-
Prove Pappus's Theorem by assuming that the region of area A in Figure 20 is to be revolved about the y-axis, And V = 2 | xh(x) dx | (xh(x) dx)/A x= w(y) hix)
-
Consider the triangle T of Figure 21. (a) Show that y = h/3 (and thus that the centroid of a triangle is at the intersection of the medians). (b) Find the volume of the solid obtained when T is...
-
Stock Y has a beta of 1.30 and an expected return of 13 percent. Stock Z has a beta of .75 and an expected return of 10.5 percent. If the risk free rate is 4.5 percent and the market risk premium is...
-
In the introduction to "The Five Sexes," Anne Fausto-Sterling writes that she had to "invent conventions - s/he and his/her - to denote someone who is clearly neither male nor female or who is...
-
Select a product described as one of the "Biggest Product Flops" of 2019 that you will bring back to the market. To, you will need to engage in some research to understand why the product failed to...
-
Breaking the Bank Case Questions (video found at: http://www.pbs.org/wgbh/pages/frontline/breakingthebank/view/?utm_campaign=viewpage &utm_medium=grid&utm_source=grid) 1) To what extent were the...
-
Please answer in full and write legibly. Suppose Alice has taken 7 classes college, and her current GPA is 3.48 (assume for simplicity that all courses carry the same number of credits). Answer the...
-
F. Explain how to overcome two potential biases (e.g., prejudice, discrimination) using culturally competent strategies that will help improve stakeholder communication. G. Explain how to mitigate...
-
The rate constant (k) for a reaction was measured as a function of temperature. A plot of ln k versus 1/T (in K) is linear and has a slope of -7445 K. Calculate the activation energy for the reaction.
-
In the simple quantity theory of money, what will lead to an increase in aggregate demand? In monetarism, what will lead to an increase in aggregate demand?
-
If f(x) sec t - sec x/ t - x, find the value of f'(/4). im
-
Show that sin-1 (tanh x) = tan-1 (sinh x).
-
Prove that dn/dxn (sin4 x + cos4 x) = 4n-1 cos(4x + n / 2).
-
Consider a 5 year debt with a 15% coupon rate paid semi-annually, redeemable at Php1,000 par. The bond is selling at 90%. The flotation cost is Php50 per bind. The firm's tax bracket is 30%.
-
A project will generate annual cash flows of $237,600 for each of the next three years, and a cash flow of $274,800 during the fourth year. The initial cost of the project is $749,600. What is the...
-
You want to invest annual amounts over the next 15 years. If your goal is to have $15,000 at the end of that time and if you can earn 8 percent on your invested funds, how much do you need to invest...
Study smarter with the SolutionInn App