Question: The region bounded by (x - 2) 2 + y = 1 is revolved about the y-axis to form a torus. Find the surface area

The region bounded by (x - 2)2 + y² = 1 is revolved about the y-axis to form a torus. Find the surface area of the torus.

Step by Step Solution

★★★★★

3.39 Rating (161 Votes )

There are 3 Steps involved in it

1 Expert Approved Answer
Step: 1 Unlock

x 2 y 1 2x 2 2yy 0 x 2 y y y S x 2 y ... View full answer

blur-text-image
Question Has Been Solved by an Expert!

Get step-by-step solutions from verified subject matter experts

Step: 2 Unlock
Step: 3 Unlock

Students Have Also Explored These Related Calculus 10th Edition Questions!

Q:

The area shown is revolved about the x axis to form a homogeneous solid of revolution of mass m. Determine by direct integration the mass moment of inertia of the solid with respect to (a) The x...

Q:

The area shown is revolved about the x axis to form a homogeneous solid of revolution of mass m. Determine by direct integration the moment of inertia of the solid with respect to (a) The x axis, (b)...

Q:

The parabolic spandrel shown is revolved about the x axis to form a homogeneous solid of revolution of mass m, using direct integration, express the moment of inertia of the solid with respect to the...

Q:

A region bounded by f(x) = -x2 + 5, y = 1, and x = O is shown below. Find the volume of the solid formed by revolving the region about the x-axis. 0 27.?33 0 30.133 0 55.46? 0 58.833 A region bounded...

Q:

Question 1 47 / 50 pts Consider the region A in the first quadrant bounded by the graphs of f (x) = and g (a ) = sin( 3 a Find the area of the region b) Find the slope of the tangent line to the...

Q:

i need help solving these No Calculator Free Response 12. Use the differential equation y'=-xy to find the following. (1) a. Find the value of dy at the point (-2,0) . (1) b. Find the value of dy at...

Q:

Plzz solve..Thank you Q3: (40 marks) The region in the first quadrant bounded by x2 + y? = 1, x =2, and y = 1 is revolved about: 1- The line y = 1 2- The y-axis Find the volume generated by each...

Q:

Find the volume of the solid obtained by rotating the region bounded by y 2 61:2, m = 1, and y = 0, about the x-axis. V: Find the volume formed by rotating the region enclosed by: x = 16y and y" = x...

Q:

ANSWER ALL THESE QUESTIONS 1 THROUGH 10 ENTIRELY. REMEMBER, (YOU ONLY HAVE TO SELECT THE RIGHT ANSWER FOR EACH QUESTION) BUT FOR QUESTIONS 9 AND 10, YOU ARE REQUIRED TO SHOW YOUR WORK AND ALSO WRITE...

Q:

Use the method of disks to find the volume of the solid that results when the area of the region enclos y2 = 2x, x = 2, and y = 1 is revolved about the line x = 2. US Nuevo x = v bris " = v newled...

Q:

TRUE OR FALSE: 1. Banks with a significantly large share of fixed-interest rate home loans are less exposed to interest rate risks. 2. Although Australian banks are pretty big, they are not...

Q:

Briefly discuss each of these terms related to the historical evolution of operations management: a. Industrial Revolution b. Scientific management c. Interchangeable parts d. Division of 1abour

Q:

AMAZON COMPANY - Create a 1 - to 2 - page outline or chart identifying KPIs and including the following: - The company and its ticker symbol - Cash flow from operations - Price - to - earnings ratio...

Q:

5. Major World Lakes A lake is a body of water surrounded by land. Hence, some bodies of water named seas, like the Caspian Sea, are actually salt lakes. In the table that follows, the length in...

Q:

In problem, find the vertical, horizontal, and oblique asymptotes, if any, of each rational function. G(x) x2 - 5x 14

Q:

In problem, use the Rational Zeros Theorem to find all the real zeros of each polynomial function. Use the zeros to factor f over the real numbers. f(x) = x 3 + 8x 2 + 11x 20

Q:

In problem, follow Steps 1 through 8 to analyze the graph of each function. (x 1)(x + 2)(x 3) x(x 4)2 R(x)

Q:

Question 8 2 pts What is the profitability index of a project with the cash flows in the table? Assume a discount rate of 8%. CFO CF1 CF2 -$143.000 $37.000 $72,000 $52,000 -$16,000 $111.000 CF3 CF4...

Q:

All else constant, the cash flow to stockholders: Multiple Choice Remains unchanged when the firm repurchases shares of outstanding stock. Increases as the common stock account balance increases....

Q:

19. A store has 5 years remaining on its lease in a mall. Rent is $1,900 per month, 60 payments remain, and the next payment is due in 1 month. The mall's owner plans to sell the property in a year...