The graph of y = (x), for a x b, is rotated about the y-axis.
Question:
The graph of y = ƒ(x), for a ≤ x ≤ b, is rotated about the y-axis. In this situation, the surface area of the resulting surface is
Determine the surface area for each surface of revolution. If the surface area cannot be computed exactly, find an approximate value.
ƒ(x) = √x, [0, 4]
Transcribed Image Text:
TSX ₁ S = 2π x√√1 + f'(x)² dx
Fantastic news! We've Found the answer you've been seeking!
Step by Step Answer:
Answer rating: 100% (QA)
and Let fxx Then Finally SA 2 1 x x dx 2x x xdx 2 x x 1 1 dx S 1 4x 64 Using the substitu...View the full answer
Answered By
Utsab mitra
I have the expertise to deliver these subjects to college and higher-level students. The services would involve only solving assignments, homework help, and others.
I have experience in delivering these subjects for the last 6 years on a freelancing basis in different companies around the globe. I am CMA certified and CGMA UK. I have professional experience of 18 years in the industry involved in the manufacturing company and IT implementation experience of over 12 years.
I have delivered this help to students effortlessly, which is essential to give the students a good grade in their studies.
3.50+
2+ Reviews
10+ Question Solved
Related Book For
Question Posted:
Students also viewed these Mathematics questions
-
Evaluate the integral using the indicated trigonometric substitution. Sketch and label the associated right triangle. .3 = dx x = 2 tan 0 -2 /x + 4
-
The matrix has eigenvectors. Find the matrices P and H such that B 4 = PHP -1 , where B = A 3I. 3 3 2 A =|1 5 0 0 0 4
-
(a) The ellipse x2/a2 + y2 /b2 = 1 a > b is rotated about the -axis to form a surface called an ellipsoid, or prolate spheroid. Find the surface area of this ellipsoid. (b) If the ellipse in part (a)...
-
Assume that n is a positive integer. For each of the following algorithm segments, how many times will the innermost loop be iterated when the algorithm segment is implemented and run? 1) for k:=1 to...
-
Sam Eatmon, CFO of Chaiston Enterprises, is evaluating an opportunity to invest in additional manufacturing equipment that will enable the company to increase its net cash inflows by $150,000 per...
-
Revenue recognition at and after tine of sale. Hilton Garden Inn, a division of Hilton Hotels, offers its customers two choices when reserving rooms. The customer may purchase a nonrefundable...
-
The numbers of checked bags on flights between San Francisco and Atlanta. State whether the data described are discrete or continuous and explain why?
-
Cranberries can be harvested using either a wet method or a dry method. Dry-harvested cranberries can be sold at a premium, while wet-harvested cranberries are used mainly for cranberry juice and...
-
PROMOTIONAL MIX/COMMUNICATION TOOLS - 18 marks total a.) Name and define three (3) distinct promotional mix(communication tools) elements. For example, "public relations" is one of the elements you...
-
The graph of y = (x), for a x b, is rotated about the y-axis. In this situation, the surface area of the resulting surface is Determine the surface area for each surface of revolution. If the...
-
The graph of y = (x), for a x b, is rotated about the y-axis. In this situation, the surface area of the resulting surface is Determine the surface area for each surface of revolution. If the...
-
Humans have 23 chromosomes per set. A person with 45 chromosomes can be described as being a. euploid. c. monoploid. b. aneuploid. d. trisomic.
-
Luxury Auto Care Company offers three different service packages (A, B, and C) to its customers. These packages vary from a complete detailing of the automobile (wash, wax, carpet shampoo, etc.) to a...
-
2 51 5 The revolving door in the figure below rotates counterclockwise and has four equally spaced panels. (a) What is the angle between two adjacent panels? The angle is Qdegrees. (b) What is the...
-
Compute operating cash flows using the direct method. Tidwell Company has provided the following partial comparative balance sheets and the income statement for 20X2. Tidwell Company Comparative...
-
The preliminary annual accounts of X company show a profit before tax of USD 15 000 000. Other operating expenses include USD 200 000 in non-deductible representation expenses and the expensing of...
-
In Problems 33-40, apply the Chain Rule more than once to find the indicated derivative. 33. D.[sin (x+ 3x)] 35. D.[sin (cost)] 37. D[cos (sin )] d dx 39. (sin[cos(sin 2x)]} 34. D.[cos(4r - 19)] 36....
-
How are the costs of intangible assets recovered?
-
Data on weekday exercise time for 20 females, consistent with summary quantities given in the paper An Ecological Momentary Assessment of the Physical Activity and Sedentary Behaviour Patterns of...
-
Sketch the graph of the inverse function. y A 3 y = f(x)
-
Sketch the graph of the inverse function. y = x y = f(x) 1
-
Solve the following equations. log 10 x = 3
-
Journal Entry for Fixed Deposit What will be the entry for fixed deposit with bank by co. for 2 yrs and if loan has been taken on it and what will be the entry of interest given by the bank on F.D
-
Use the following theories to explain the term structure of interest rates: Unbiased Expectations Theory Local Expectations Theory Segmented Markets Theory Preferred Habitat Theory Liquidity...
-
Consider a loan which is being repaid with level installments at the end of each year for 10 years. The interest rate is 9% per annum. It is given that the outstanding loan balance immediately after...
Study smarter with the SolutionInn App