The top of a rubber bushing designed to absorb vibrations in an automobile is the surface of

Question:

The top of a rubber bushing designed to absorb vibrations in an automobile is the surface of revolution generated by revolving the curve

for 0 ≤ y ≤ 2 in the yz-plane about the z-axis.

(a) Find an equation for the surface of revolution.

(b) All measurements are in centimeters and the bushing is set on the xy-plane. Use the shell method to find its volume.

(c) The bushing has a hole of diameter 1 centimeter through its center and parallel to the axis of revolution. Find the volume of the rubber bushing.

Fantastic news! We've Found the answer you've been seeking!

Step by Step Answer:

Related Book For book-img-for-question

Calculus

ISBN: 9781285057095

10th Edition

Authors: Ron Larson, Bruce H. Edwards

See More Books

Question Posted: Mar 25, 2023 10:15 PM

A safety valve on the top of a tank containing steam under pressure p has a discharge hole of diameter d (see figure). The valve is designed to release the steam when the pressure reaches the value...
A small body of mass m = 0.30 kg starts sliding down from the top of a smooth sphere of radius R = 1.00 m. The sphere rotates with a constant angular velocity = 6.0 rad/s about a vertical axis...
A flat plate weighing 0.45 kN has a surface area of 0.1 m2 . It slides down an inclined plane at 30 to the horizontal, at a constant speed of 3 m/s. If the inclined plane is lubricated with an oil of...
What is a Java package, and what is its purpose?
Dave Ludwig is the chief financial officer (CFO) of a major sporting goods manufacturer, Playco. Playco manufactures four major product lines: golf equipment, hockey equipment, baseball equipment,...
Refer to the following summarized income statement and additional selected information for Huanca , Inc.: Income Statement Revenues $146,500 Cost of sales 55,500 Gross margin 91,000 Salary expense...
For each of the following, calculate the standard error of the difference $\left(s \mathrm{X}^{-} 1-\mathrm{X}^{-} ight.$ $2)$. a. N = 35, s = 1.50, N = 35, $2 = 3.25 b. N = 4, s = 4.30, N = 4,...
McLean Company produced 2,500 units of product that required two standard hours per unit. The standard fixed overhead cost per unit is $1.30 per hour at 4,600 hours, which is 100% of normal capacity....
Part 1: What are the key differences in cash flow analyses performed by investor-owned and not-for-profit businesses? Provide examples from your context. Part 2:As a healthcare manager how would the...
Describe direction cosines and direction angles of a vector v.
Find an equation in spherical coordinates for the equation given in rectangular coordinates. x + y = 16
What are the characteristics of a good project manager?
Rita, a self-employed individual, paid the following amounts during the year: Real estate tax on New York residence - $ 2,400 State income tax $ 3,200 Real estate tax on a vacation home $1,400 Gift...
How could the issue have been mitigated based on the relationship between the organization and vendor? What strategies related to understanding the vendor (commitment, etc.) have helped? What...
Exposure Risk Weight Government Treasury held as asset 1,500,000 Loans to Corporates 15,000,000 10% Loans to Small Businesses 8,000,000 Other Exposure 20% 6,000,000 10%. Based on the above...
What is the main focus of prompt engineering?
Tristan is single, aged 47, and an active plan participant. His adjusted gross income, or AGI, for 2024 is $82,000. Based on the 2024 phase out range of $77,000 - $87,000 for single filers who are...
Do you think that income tax allocation can improve the prediction of future tax payments in the short-run?
Simplify the expression. Assume that all variables are positive. 23VI1 2 V44 8
Establish identity. tan + tan( + 120) + tan( + 240) = 3 tan(3)
Establish identity. In |sin 0| = (In |1 cos(20)| In 2)
Establish identity. |In |cos e| =(In |1 + cos(20)| In 2)
Change the from date on the graph on this site to 1960 tradingeconomics.com/canada/inflation-cpi Link 2 On the Bank of Canada site, review the following...
Consider a perfectly competitive firm with the following cost function: TC = 2(Q) + 1600 The firm sells its output for $168 per unit. A. B. C. D. Find the profit-maximizing level of output. Represent...
Mei-Lin and Jude are managers in a manufacturing company. Mei-Lin supervises the production workers and is responsible for specific production goals. Jude is the human resources manager and is...

The top of a rubber bushing designed to absorb vibrations in an automobile is the surface of

Question:

z = y + 1

Step by Step Answer:

a b c 2 ...View the full answer

Calculus

Students also viewed these Mathematics questions