Set up the integral for the surface area of the surface of revolution and approximate the integral with a numerical method. Round your final answer to two decimal places. y= 7x-x, 0Sx<2, revolved about the x-axis

Set up the integral for the surface area of the surface of revolution and approximate the integral with a numerical method. Round your final answer to two decimal places. y= 7x-x, 0Sx<2, revolved about the x-axis

Mathematics For Machine Technology

8th Edition

ISBN:9781337798310

Author:Peterson, John.

Publisher:Peterson, John.

Chapter61: Areas Of Circles, Sectors, And Segments

Section: Chapter Questions

Problem 2A: Find the area of the shaded portion of this figure. Round your answer to 2 decimal places.

See similar textbooks

Related questions

Q: Set up the integral to find the surface area of the volume generated by the curve y=1/2 (x −3)^2…

A: Given, a=0,b=2 y=1/2 (x −3)^2 +1/2 Therefore, (2y-1)/2 = 1/2 (x −3)^2 2y-1= (x-3)² Taking square…

Q: Set up and evaluate the definite integral for the area of the surface generated by revolving the…

Q: Use Simpson's Rule with n = 10 to approximate the area of the surface obtained by rotating the curve…

Q: Find the surface area of revolution about the y-axis of y= x^2/9 over the interval 0≤x≤6. Enter…

Q: Set up the definite integral for the area of the surface of revolution about the x-axis. Do not…

Q: Find the surface area of revolution about the yy-axis of y=3√x over the interval 0≤x≤8. Enter your…

Q: In x 1 <x < 4 5. у %3 4

A: We will solve the following

Q: (3) Use line integral to find the area af the surface thet extends upward from the Part of the…

Q: Compute the surface area of revolution about the x-axis over the interval [3,6] for y = 4x + 4. (Use…

Q: Consider the curve y = x3/3, 1 ≤ x ≤√7. (i) Set up and simplify the integral that gives the length…

Q: Q5/ Find the area of the surface generated by revolving y = where 0 <x <2, about the X-axis.

A: Given that the area of the surface generated by revolving y=x39 where 0≤x≤2 about x-axis.

Q: Compute the surface area of revolution about the x-axis over the interval [2, 4] for y = 4x + 5.…

Q: Compute the surface area of revolution about the x-axis over the interval [0, n] for y = 6 sin(x).

Q: Find the surface area of revolution about the y-axis of x 36 – y? over the interval 0 < y < 2 -

Q: Write and evaluate the definite integral that represents the area of the surface generated by…

A: Differentiate the function with respect to x and area of surface of revolution is:

Q: Set up and evaluate the definite integral for the area of the surface generated by revolving the…

Q: Find the surface area of revolution about the y-axis of a 49 – y? over the interval 0 < y < 5

A: x = 49 - y2 Proof: Let x = f ( y) revolve about y - axis Then surface area is given by formula…

Q: Q10 Find the area of the surface generated by revolving the region bounded by, x6 1 y =6+ 16x4 1<x<3…

Q: Find the surface area of the solid that results when the region in the first quadrant bounded by the…

A: The curve is x2+y2=82

Q: Set up and evaluate the definite integral for the area of the surface generated by revolving the…

Q: Find the area of the region enclosed by the curves y=x^2 and y=6x by integrating with respect to y.…

A: Follow the procedure given below.

Q: Find the area of the surface correct to four decimal places by expressing the area in terms of a…

A: Given that, The surface z=e-x2-y2 that lies above the disk x2+y2≤25. To find the area of the surface…

Q: Find the area of the surface generated by revolving x = 6t and y = 4ť (0 < t < 1) X

A: answer is in next step

Q: Find the surface area generated by revolving about the x-axis the curve y=2(15-x)^1/2, from x=0.59…

A: Area =integration of 2πg(x) √1+(g'(x)) 2 dx

Q: 4. Set-up and evaluate the definite integral that represents the area of the surface generated by…

A: Formula: The area of surface generated by revolving x=f(y), a≤y≤b about x-axis is given by,…

Q: Set up and evaluate the definite integral for the area of the surface generated by revolving the…

A: See below the answer and calculation

Q: Set up an integral for the area of the surface generated by revolving the curve xy = 4 over 1 <y< 6…

Q: Set up and evaluate the definite integral for the area of the surface generated by revolving the…

Q: Find the surface area of revolution about the x-axis of C.

Q: Sketch the region enclosed by the curves 4x+y2=12 and y=x then find its area using the appropriate…

Q: Find the area of the surface obtained by rotating the curve. y=x+, 1<x< 2 rotated about the x-axis…

Q: Set up and evaluate the definite integral for the area of the surface generated by revolving the…

Q: 7. Set up an integral that represents the area of the surface obtained by rotating the given curve…

Q: Find the surface area of the solid that results when the region in the first quadrant bounded by the…

Q: Compute the surface area of revolution about the x-axis over the interval [3,6] for y = 2x + 5. (Use…

Q: Find the integral that represents the surface area obtained by rotating around the x-axis the graph…

A: To find the integral representation for the surface area under the given conditions.

Q: Set up and evaluate the definite integral for the area of the surface generated by revolving the…

Q: Set up and evaluate the definite integral for the area of surface generated by revolving the curve…

Q: Set up an integral to find the area of the surface generated by rotating the curvey= 4ln x, from x =…

Q: Consider the region bounded by the equation y = e−x for 0 ≤ x ≤ 4, the y-axis, and the x-axis.…

A: Given that, The region bounded by the equation y =e-x for 0≤x≤4, the y axis and the x-axis. Now we…

Q: Find the area of the surface of revolution generated by revolving the graph of = In x ,bounded by y…

A: (6) Plot the graph to find the region. The shaded area is the region.

Q: 15 Find the area of the surface generated by revolving x = 4/4- y,0sys about the y-axis. x=4/4-y Set…

A: find the area of the surface generated by revolvigx=44-y, 0≤y≤154about y-axis

Q: Find the surface area of revolution about the y-axis of y = 12 – 3x? over the interval 0 < x < 2.

Q: Determine the exact value of the definite integral by interpreting it as a measure of the area of a…

A: We have to integrate

Q: Set the integral for the surface area of the surface of revolution and approximate the integral with…

Q: Find the surface area of the solid that results when the region in the first quadrant bounded by the…

Q: Set up an integral to find the surface area when rotating the region defined by y=√x , 2≤x≤6 about…

A: we have to set up an integral to find surface area of given function, so

Q: Find the area of the surface correct to four decimal places by expressing the area in terms of a…

Q: Find the surface area of the curve f (x) = x over [1,2| rotated .3 3 about the – axis -

A: The revolution of the curve y = f(x) around the x-axis is: S=2π∫abf(x)(f'(x))2+1dx

Q: Compute the surface area of revolution about the x-axis over the interval [3, 6] for y = 4x + 5.…

A: The equation of the curve is given by y = 4x+5 Formula Used: S = 2π∫36y1+dydx2dx To evaluate: The…

Question

please solve the attached picture

Set up the integral for the surface area of the surface of revolution and approximate the integral with a
numerical method. Round your final answer to two decimal places.
y= 7x-x, 0Sx<2, revolved about the x-axis
S=

Expert Solution

This question has been solved!

Explore an expertly crafted, step-by-step solution for a thorough understanding of key concepts.

SEE SOLUTION Check out a sample Q&A here

Step 1

VIEW

Step 2

VIEW

Step by step

Solved in 2 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Basics (types, similarity, etc)$

Learn more about

Need a deep-dive on the concept behind this application? Look no further. Learn more about this topic, calculus and related others by exploring similar questions and additional content below.

Similar questions

Find the area of the shaded portion of this figure. Round your answer to 2 decimal places.
Find the area of the figure surrounded by the two curves
In 1 decimal place, find the surface area generated by rotating the first quadrant portion of the curve y=9-x² about the y-axis.
need to find the surface area. I have already found part of the equation but I cant get this one right.
Find the area of the circle whose center is at (2, -5) and tangent to the line 4x+3y-8%3D0 3 pi 6 pi 12 pi 9 pi
Find the area of the region enclosed by the parabolas y = x and y=2x – x². Make a sketch and shade in the region of interest. Show all work including finding intersection points.