Find the area of the surface generated by revolving x=e t cost, y=e t sin t, 0t/2
Fantastic news! We've Found the answer you've been seeking!
Question:
Find the area of the surface generated by revolving x=et cost, y=et sin t, 0≤t≤π/2 above the x-axis.
where, ds=√(dx/dt)2+(dy/dt)2 dt
Transcribed Image Text:
Find the area of the surface generated by revolving a = e' cos t, y= e' sin t, 0 <t < above the -axis. Surface Area of Solid of Revolution Obtained from a Parametric curve: Consider a parametric curve defined by the equations a = f(t) and y = 9(t) in the interval t e [a, b). If this curve is revolved around the x-axis, then the surface area of the solid of revolution obtained, will be given by Surface Area 2ny ds %3| Find the area of the surface generated by revolving a = e' cos t, y= e' sin t, 0 <t < above the -axis. Surface Area of Solid of Revolution Obtained from a Parametric curve: Consider a parametric curve defined by the equations a = f(t) and y = 9(t) in the interval t e [a, b). If this curve is revolved around the x-axis, then the surface area of the solid of revolution obtained, will be given by Surface Area 2ny ds %3|
Expert Answer:
Answer rating: 100% (QA)
Solution we have xe cat y esint osts Revolution S Sarface ... View the full answer
Posted Date:
Students also viewed these mathematics questions
-
Find the area of the surface generated by revolving the curve x = (ey + e(-y))/2 in the interval 0 y In 7 about the y-axis.
-
Find the area of the surface generated by revolving the curve y = (2x - x2), 0.5 x 2, about the x-axis.
-
In Problems, find the area of the surface generated by revolving the given curve about the x-axis. a. y = 6x, 0 x 1 b. y = 25 - x2, -2 x 3 c. y = x3/3, 1 x 7
-
I recently heard my neighbor discussing how one of our other neighbors lost his job. My neighbor assumed that the person who lost his job was probably lazy or not smart enough for the job, without...
-
In a recent year, 77.8% of recorded music sales were full-length CDs, 12.8% digital downloads, 3.8% singles, and the rest a mixture of other formats. A survey of college students and their recent...
-
Lin Lowe plans to deposit $1,800 at the end of every 6 months for the next 15 years at 8% interest compounded semiannually. What is the value of Lins annuity at the end of 15 years?
-
Refer to the Arctic Springs Filtration Department Data Set. At Arctic Springs, water is added at the beginning of the filtration process. Conversion costs are incurred evenly throughout the process,...
-
Hart, an assistant accountant with the firm of Better & Best, CPAs, is auditing the financial statements of Tech Consolidated Industries Inc. The firms audit plan calls for the preparation of written...
-
A ( n ) _ _ _ _ _ _ _ _ _ _ contains information about a given person, product, or event. Attribute Column Field Record
-
Griffin Companys inventory records for its retail division show the following at December 31: At December 31, 11 of these units are on hand. Journalize the following for Griffin Company under the...
-
What Are Customer Segments?
-
Will you find it difficult to differentiate the law between the common law and the UCC? If so, always remember that if the primary object of the contract is the sale of goods, the UCC controls. All...
-
Complete all journal entries for the transactions below (please use Chart of Accounts). 8/1/2016 Lucas Jackson opened his own landscapping firm called, Jackson's Landscape Design. He invested...
-
Let me know if this writing meets the criteria of the assignment? I interviewed my wife about the way we communicate and how we label each other. We both agreed that our communication was somewhat...
-
Assuming that your company is opening up a franchise in Karvy (fictitious) a common law country, discuss the laws on consideration in common law countries that diverge from the Malaysia contract law...
-
The accounting clerk for Smith Company mistakenly posted a closing entry to an expense account twice. How will this error affect the post-closing trial balance?
-
Implement a 4-bit-binary-to-decimal converter on an FPGA board. Use input switches for a binary input. The corresponding decimal number should be displayed on a 7-segment display. For example, an...
-
Find the center of mass of a thin triangular plate bounded by the y-axis and the lines y = x and y = 2 - x if (x, y) = 6x + 3y + 3.
-
You are provided with the worksheet for Norman Pty Ltd for the year ended 30 June 2019. The adjustments have already been made and the worksheet begins with the adjusted trial balance. Assume all...
-
The unadjusted trial balance of Innovative Computers Pty Ltd on 30 June 2019 is presented below. The following additional information is available. 1. The inventories as of 30 June 2019 were as...
-
Basic Chemicals Ltd produces a highly flammable chemical product. The company experienced a flood on 1 April 2019 that destroyed its entire work in process inventory but did not affect the raw...
Study smarter with the SolutionInn App