The region R in the first quadrant bounded by the parabola y = 4 - x 2
Question:
The region R in the first quadrant bounded by the parabola y = 4 - x2 and the coordinate axes is revolved about the y-axis to produce a dome-shaped solid. Find the volume of the solid in the following ways.
a. Apply the disk method and integrate with respect to y.
b. Apply the shell method and integrate with respect to x.
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 50% (16 reviews)
a V f 4 y dy f4 y d...View the full answer
Answered By
Umber Talat
I am providing full time mentoring and tutoring services in Business Finance, Contemporary issue in Global Economy, Quantitative Techniques, Principles of Marketing, strategic marketing, International Marketing, Organizational Behavior (OB), Consumer Behavior, Sales Force Management, Strategic Brand Management, Services Marketing, Integrated Marketing Communication (IMC), Principles of Management, General Management, Strategic Management, Small and Medium Enterprise Management, Innovation Management, Change Management, Knowledge Management, Strategic Planning, Operations Management, Supply Chain Management, Logistics Management, Inventory management, Total Quality Management (TQM), Productions Management, Project Management, Production Planning, Human Resource Management (HRM), Human Resource Development, Strategic HRM, Organizational Planning, Performance and Compensation Management, Recruitment and Selection, Organizational Development, Global Issues in Human Resource Management, Retail Marketing, Entrepreneurship, Entrepreneurial Marketing, International Business, Research Methods in Business, Business Communication, Business Ethics.
4.70+
158+ Reviews
236+ Question Solved
Related Book For
Calculus Early Transcendentals
ISBN: 978-0321947345
2nd edition
Authors: William L. Briggs, Lyle Cochran, Bernard Gillett
Question Posted:
Students also viewed these Mathematics questions
-
Find the volume of the solid generated in the following situations. The region R in the first quadrant bounded by the graphs of y = x and y = 1 + x/2 is revolved about the line y = 3.
-
Find the volume of the solid generated in the following situations. The region R in the first quadrant bounded by the graphs of y = 2 - x and y = 2 - 2x is revolved about the line x = 3.
-
The family of parabolas y = (1/a) - x 2 /a 3 , where a > 0, has the property that for x 0, the x-intercept is (a, 0) and the y-intercept is (0, 1/a). Let A(a) be the area of the region in the first...
-
The statement of financial position of Kingbird Limited follows for the current year, 2020: KINGBIRD LIMITED Statement of Financial Position December 31, 2020 Current assets $135,660 Current...
-
Micro Spinoffs, Inc., issued 20-year debt a year ago at par value with a coupon rate of 8%, paid annually. Today, the debt is selling at $1,050. The firm's tax bracket is 35%. Micro Spinoffs also has...
-
Suppose you can access the caches in the local DNS servers of your department. Can you propose a way to roughly determine the Web servers (outside your department) that are most popular among the...
-
Meo Consulting, Inc., completed the following transactions during February 2010, its first month of operations: Requirements 1. Record transactions in the journal. Explanations are not required. 2....
-
Slick Pads is a company that manufactures laptop notebook computers. The company is considering adding its own line of computer printers as well. It has considered the implications from the marketing...
-
For each of the following cost flow assumptions, calculate cost of goods sold, ending inventory, and gross profit. (1) LIFO. (2) FIFO. (3) Moving-average cost. (Round average-cost per unit to 3...
-
The July transactions of Acorn Industries are described in Problem 7-2B. Problem 7-2B, Acorn Industries completes these transactions during July of the current year (the terms of all its credit sales...
-
Consider the functions y = x 2 /a and y = x/a, where a > 0. Find A(a), the area of the region between the curves.
-
Choose the general slicing method, the disk/washer method, or the shell method to answer the following questions. What is the volume of the solid whose base is the region in the first quadrant...
-
Goldstein Corporation manufactures a childrens bicycle, model CT8. Goldstein currently manufactures the bicycle frame. During 2017, Goldstein made 32,000 frames at a total cost of \($1,056,000.\)...
-
Jennifer is planning how to spend a particularly rainy Sunday, and the choice is between watching video movies (each lasting two hours) or studying her economics textbook. She has 10 hours available...
-
Suppose the Fed commits itself to the use of the Taylor rule (shown below) to set the federal funds rate. Federal funds rate = Long-run target + 1.5(Inflation rate - Inflation target) + 0.5(Output...
-
Your friend Alex Is in the process of starting his own bakery in your city. Through market research, Alex has determined that the best target market for his bakery is 18-25 year old university...
-
Consider the reporting a crime game under incomplete information. Two players act simultaneously. Player 1 gets a payoff of v if the crime is reported and 0 if it is not reported. It costs the player...
-
Suppose we have the following three projects up for vote: A highway, a Homeless Shelter, and a Port. There are three representatives who will individually vote on the projects. The net social...
-
One hundred forty-eight men and women without heart disease or diabetes enrolled in a study. Half of the subjects were randomly assigned to a low-carb diet ( <40 g/d), and the others were given a...
-
After looking at the resources, explain what a spirit image is. Why might looking at a god and/or a human in terms of their spirit be helpful if you want to eliminate some of the divisions between...
-
Identify and sketch the graph of each surface. y 2 + z 2 = 1 + x 2
-
Describe in words the region of R3 represented by the equation(s) or inequalities. x 2 + y 2 = 4
-
Reduce the equation to one of the standard forms, classify the surface, and sketch it. 4x 2 y + 2z 2 = 0
-
ACMY currently operates in a market that has been estimated to have about 10 mill. customers and it is estimate that it has a market share of 8%. The average customer purchase is of $150 per year....
-
This is a collation of the Drop Shipping (eCommerce) project you have been working on through the previous weeks. You are required to provide a pitch presentation with the sufficient information in a...
-
Agent Johnny Utah the former Motocross and Extreme athlete is now with the FBI Bank Robbery Task Force and investigating Bank robberies committed by the Ex-Presidents. Utah and his partner , Angelo...
Study smarter with the SolutionInn App