Why is my set up wrong? The answer is correct. y = x, y = 2x,about the line x = 2 using the method of disksor washers.4Volumepi(x^4-4x^2)8/3pi

By using volume of solid formula, we calculate the required volume.

Answered: y = x², y = 2x, about the line x = 2…

Math

Calculus

y = x², y = 2x, about the line x = 2 using the method of disks or washers. 4 Volume pi(x^4-4x^2) 8/3pi II

Algebra & Trigonometry with Analytic Geometry

13th Edition

ISBN:9781133382119

Author:Swokowski

Publisher:Swokowski

Chapter9: Systems Of Equations And Inequalities

Section: Chapter Questions

Problem 39RE

See similar textbooks

Related questions

Q: [3tan(x)² dx 2

A: Concept: Integration: The Sum of discrete data is denoted by Integration. The integral is calculated…

Q: Find the area of the segment cut off from the curve y = sin x, 0 ≤ x ≤ ¹ by the line y = 1/√2. 3r 4…

Q: Find the area of the region between the curves y = sin(x), y = sin(2x), x = 0, and x = t/2. Area…

A: Given curve is : y=sinx .......(1) y=sin2x ......(2) To find the area of region between curve…

Q: r = 4cos0 COS

A: The region bounded by the curve r= 4 cos θ is as shown:

Q: -jwt dt ーの 2. 70

A: We have to solve given problem:

Q: A frustum of a cone is generated by revolving the graph of y = 2x on the interval [2, 8] about the…

A: GIVEN FRUSTUM cone generated by revolving the graph of y=2x on interval [2,8] about x axis we need…

Q: Find the area of the surface obtained by rotating the curve y = 3x2 from point (4, 48) to the point…

A: Let's find.

Q: Find surface area by revolving curve y=x^3 / 18 , 0 <= x <= 2(sqrt(2)) about the x-axis.

Q: Find the area of the surface generated by revolving the curve on the indicated interval about the…

A: answer is mentioned below

Q: Compute the surface area of revolution of y=sinx about the x-axis over the interval [0,3π]. Surface…

Q: Find a result by using variable separa Vx/y-1 b-y'ý+x-0 dx Find a result by using homogenous for

A: A)x y dydx=1y dy=dxx∫y dy=∫ x-12 dxy3232=x1212+C'2y3=3x+3C'2y3=3x+C

Q: Solve 3x – 6 ≥ 0 graphically intwo dimensional plane.

Q: Find the area of the segment of a sphere formed by revolving the graph of y = √25-x2,0 sxs 4, about…

A: Given y=25-x2, 0≤x≤4 A sphere is a geometrical object that is a three-dimensional analogue to a…

Q: Find the area of the segment cut off from the curve y = sin x, 0≤x≤ n by the line y = 1/√2. H4 34 y…

A: Let's find area of segment.

Q: (メフきお! then Rind fcx) and ec3) メ+ %3D fC) = e %3D by using integration ?

A: f(x)=ex+1-f'(x) and f(1)=e

Q: . The area bounded by the parabola y² + x - 2y = 1, the x-axis, and the line x = 2 revolves about…

Q: The vertical cross section of an irrigation canal is modeled by f(x) = 5x2/(x2 + 4) where x is…

Q: Find the area of the surface generated by revolving the given curve about the y- axis. x = /25 - y²,…

Q: 20. Use integration tables to find J coox 7sinx + 5sinx + 4 dx

Q: Q2. For a cone having surface area of (S = 850 cm²), the radiusestimated using secant method with…

A: Given that cone having surface area. So, f(r)=πrr2+h2-850 Since the height is not given. So let's…

Q: find the center of mass of a thin plate of constantdensity d covering the given region. The region…

A: Since for sec2x , M is undefined

Q: Find the area under one arch of the cycloid x = a(t-sint) , y = a(1-cost)

A: Introduction: A cycloid is a two-dimensional curve that is constructed with half circles. One arc of…

Q: The surface area of the surface generated by revolving y =x³ , 0<x<1 about the x- axis is Sz0.4296…

Q: Using integration, find the exact area of the surface formed by revolving y=5x+3 on the interval [0,…

A: To find The exact area of the surface formed by revolving y=5x+3 on [0,6] about the X-axis

Q: Find the approximate surface area of a sphere of radius 3.02 in. (Use differentials)

Q: The vertical cross section of an irrigation canal is modeled by f (x) = 5x2 / x2+ 4 where x is…

A: Solution: Consider the given function is: f(x) = 5x2x2 + 4 we have the formula for fluid force: F =…

Q: Solve using integration and please show graph: Find the moment of inertia of the area in the first…

A: Moment of inertia of a rotating body is it's property to resist the motion. For a body of mass 'm'…

Q: Find the area of the surface generated by revolving the curve y = 2x -x² , 0.25 sxs0.75, about the…

Q: Find the lateral (side) surface area of the cone generated by revolving the line segment y=2x/5…

A: The given line segment: y=2x5 ; 0<x<8

Q: The diameter of a circular disk is measured as 30 cm with a maximum error in measurement of 0.2 cm.…

A: Given that :- Diameter = 30 cm , error = 0.2cm Area of circular disk = πr2 . Where ( r = d/2) So ,…

Q: find the center of mass of a thin plate of constantdensity d covering the given region. The region…

Q: The thickness of the shell is a = 0.7 centimeter. Use differentials to approximate the volume of the…

A: Volume of sphere V= 43π×r3 From given figure radius is 100 cm .

Q: Find /- tan- x -dx using integration by parts. x2 ITM

Q: Find the center of mass of a thin plate of constant density ô covering the region between the curve…

A: It is given that, y=5sec2x, -π4≤x≤π4 Since the density is constant so we'll not require this to…

Q: Find the volume of the solid generated by revolving the region in the first quadrant bounded above…

A: We want to find the volume.

Q: Use linear approximation to estimate the amount of paint in cubic centimeters needed to apply a coat…

Q: Find the area bounded by the curves y=sinx, y=cosx between x=0 and x=π/2. PLEASE INCLUDE HOW TO GET…

A: To find out the area bounded by the curves.

Q: The area bounded by the parabola y² + x - 2y = 1, the x — axis, and the line x = 2 revolves about…

Q: Find the surface area of the cone frustum generated by revolving the line segment y = 4 1 over 1 < x…

Q: The volume of a right circular cone of radius x and height y is given by V - Tx², 'y. Suppose that…

Q: A/Find the distance between the line 2x + 3y = 5 and the point(-1,0). ( B/Find by integrating along…

A: # As per the guidelines we are entitled to solve one question at a time, please resubmit the other…

Q: Find the area of the segment of a sphere formed by revolving the graph of y = V 25 - x2, 0 sx< 4,…

Q: The volume of the solid generated by the curve y = e¯*, between x = 3 and x = 8 about the axis is -…

Q: A frustum of a cone is generated by revolving the graph of y = 4x on the interval 32, 64 about the…

A: The surface area A=∫ab2π f(x) 1+f'(x)2dx

Q: Find the area of the segment cut off from the curve y = sinx, 0≤x≤nt by the line y = 1/√2. HT 1/2 y…

Q: Sketch the area bounded by the function y = x^2 + 1 and the line y = 5, and then calculate the…

A: Volume of revolution

Q: Find the sign of the line integral.

Q: Find area of circle whose eq is (x-3)^2 - (y-3)^2=4 using integration

A: Note: The correct equation of circle will be x-32+y-32=4. The radius of the circle is 2 and center…

Q: Find the lateral (side) surface area of the cone generated by revolving the line segment y = x,…

A: Given that, the cone is generated by revolving the line segment y = 53x, 0≤x≤4, about x-axis.

Question

Why is my set up wrong? The answer is correct.

y = x, y = 2x,
about the line x = 2 using the method of disks
or washers.
4
Volume
pi(x^4-4x^2)
8/3pi

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 3

VIEW

Step by step

Solved in 3 steps with 2 images

SEE SOLUTION Check out a sample Q&A here

Knowledge Booster

$Truth Tables$

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

An arrow is shot into the air so that its horizontal velocity is 25 feet per second and its vertical velocity is 15 feet per second. Find the veloc-ity of the arrow.
Find the point P on the line y=3x that is closest to the point (40,0). What is the least distance between P and (40,0)?
An ant is standing at the point (1,1,3) on the surface of a bowl with equationz=x^2+ 2y^2,wherexandyare measured in inches. In what 2 directions can the ant move away from the point (1,1,3) so that its initial rate of ascent is 2 vertical inches for each horizontal inch moved?
A telephone line hangs between two poles 14 m apart in the shape of the catenary y = 20 cosh (x/20) -15 ,where x and y measured in meters.(a) Find the slope of this curve where it meets the rightpole.
find linear approximation
The force on a particle is described by 8x3 - 6 at a point x along the axis. What is the work done in moving the particle from the origin to x = 5.
A golfer makes a successful chip shot to the green. Suppose that the path of the ball from the moment it is struck to the moment it hits the green is described by y = 12.54x −0.41x² where x is the horizontal distance (in yards) from the point where the ball is struck, and y is the vertical distance (in yards) above the fairway. Use a CAS or a calculating utility with a numerical integration capability to find the distance the ball travels from the moment it is struck to the moment it hits the green. Assume that the fairway and green are at the same level and round your answer to two decimal places.
Suppose you are climbing a hill whose shape is given by the equationz= 1000−0.01x2−0.02y2, where x, y, and z are measured in meters, and you are standing at a point with coordinates (50, 80, 847). The positive x-axis points east and the positive y-axis points north. (a) If you walk northwest, will you start to ascend or descend? At what rate? (b) In what direction is the slope largest? Why?
Intergrate along the y-axis
The projectile is thrown at the angle of 45 degrees with the initial velocityof 1 meter per second. The free-fall acceleration is 9.8 meters per second. What is the distance between the point where the projectile was thrown and where it would land?
Find the slope and y-intercept of the line through the point (7,4) that cuts off the least area from the first quadrant.
Soln of linear diff equation with constant coefficient