Find the volume of the solid generated by revolving the region bounded by the graphs of the equations about the xaxis. y=ln x, y=0, x=1, x=3 Please show the steps in your work, thanks! :)
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Calculus
Find the volume of the solid generated by revolving the region bounded by the graphs of the equations about the xaxis. y=ln x, y=0, x=1, x=3 Please show the steps in your work, thanks! :) 
Calculus
Find the volume of the solid generated by revolving the region bounded by the graphs of the equations about the xaxis. y=ln x, y=0, x=1, x=3 Please show the steps in your work, thanks! :) 
calculus
find the volume of the solid generated by revolving the region bounded by the graphs of the equations y=2sqrtx, y=o, x=3 about the xaxis. 
calculus
Find the volume of the solid generated by revolving the region bounded by the graphs of the equations and/or inequalities about the indicated axis. x = y(25 − y2)^1/2 x = 0 the yaxis 
Calculus Voulme
find the volume of the solid generated by revolving the region r bounded by the graphs of the given equations about the yaxis. x^2+y^2=1 x=1 y=1 
Math (Calculus)
Find the volume of the solid generated by revolving the region bounded by the graphs of the equations about the yaxis. (Use Disc Method) y=3(2x), y=0, x=0 
calculus
1. Find the area of the region bounded by f(x)=x^2 +6x+9 and g(x)=5(x+3). Show the integral used, the limits of integration and how to evaluate the integral. 2. Find the area of the region bounded by x=y^2+6, x=0 , y=6, and y=7. Show all work required in #1. 3. Find the ... 
calculus
Use the disk or the shell method to find the volume of the solid generated by revolving the region bounded by the graphs of the equations about each given line. y = x3 y = 0 x = 3 the xaxis,the yaxis,and the line x = 4 
Calculus 2
Find the volume of the solid generated by revolving the region bounded by the graphs of the quations about the xaxis. Y=x^2+4 Y=x^2+2x+8 X=0 X=3 
Math (Calculus)
Use the disc method to find the volume of the solid generated by revolving the region bounded by the graphs of the equations about the indicated line. y=x^3, y=0, x=2 a)the xaxis b)the line x=4 
calculus
Find the volume of the solid generated by revolving the region bounded by the graphs of the equations about the line x = 6. y = 6 − x y = 0 y = 5 x = 0 
Calculus
Find the volume or the solid generated by revolving around the region bounded by the graphs of the equations about line x=6. xy=6, y=2, y=6, and x=6 
Calc
Find the volume of the solid generated by revolving the region bounded by the graphs of the equations about the xaxis. y = sin x, y = 0, x = 0 I just need help setting up the formula. So far I got V= the integral from 0 to pi of [(sin²x)  0²]dx. Is that correct? Thank you ... 
Calculus
"Find the volume of the solid generated by revolving the region bounded by the graphs of the given equations about the indicated lines: y = 2x^2 y = 0 x = 2 About the line y = 8" 
calculus
Find the volume of the solid generated by revolving the region bounded by the graphs of the equations about the xaxis. (Round your answer to three decimal places.) y = e^−x y=0 x=0 x=7 I got the answer ~10.783 Idk why it's wrong 
Calculus
Find the volume of the solid generated by revolving the region bounded by the graphs of the equations y = 0.5x^2, y = 2, and x = 0 about the line y = 2. A. 8pi/15 B. 32pi/15 C. 64pi/15 D. 4pi/15 E. 16pi/15 
Calculus
I would like to know if my answers are correct: Disclaimer: We are allowed to keep our answers in formula form 1. Use the washer method to find the volume of the solid that is generated by rotating the plane region bounded by y=x^2 and y = 2x^2 about the axis y=1 My Work: [... 
calculus
sketch the region R bounded by the graphs of the equations, and find the volume of the solid generated if R is revolved about the x axis when y=x^2 y=4x^2 
college, math
find the bolume of the solid generated by revolving the region bounded by the graphs of y=sqrt x , y=0, and x=4 about the x axis 
Calculus
Can you please check to see if these answers are correct? I have provided my work as well! That you! This is much appreciated!! 1. What is the volume of the solid that is generated by revolving the region bounded by the curves x = 3y^22 and x = y^2 and y = 0 about the x axis... 
calculus
Use the disk or the shell method to find the volume of the solid generated by revolving the region bounded by the graphs of the equations about each given line. y = x3 y = 0 x = 3 a)the line x = 4 
poly
the volume of the solid generated by revolving infinite region bounded by xaxis, x=k, and y=1/x+2 in the first quadrant about the xaxis to generate a solid. Find the volume of the solid. 
Calc Desperate
can anyone help me with the last problem # 14 Find the volume of the given solid generated by revolving the regions bounded by the graphs of the equations about the given lines. 14. y=62xx^2, y=x+6 a. the xaxis b. the line y=3 
Calculus
5. Find the volume of the solid generated by revolving the region bounded by y = x2, y = 0 and x = 1 about (a) the xaxis (b) the yaxis 
calc
Find the volume of the solid generated by revolving the region bounded by y=e^(5/2x),y=0,x=1, and x=5 about the xaxis. 
Volume of a solid  calculus
Find the volume of the solid generated by revolving the region bounded by the curves: y=2 Sqrt(x), y=4, x=0 about the xaxis 
Calculus
find the volume of the solid formed by revolving the region bounded by the graphs of y=x^3 y=1 x=2 about the yaxis 
math
Find the volume of the solid generated by revolving the region bounded by y= x^(1/2), y= 0, and x= 3 revolving around the yaxis. 
Calculus
'Find the volume of the solid generated by revolving the region bounded by x=16y^2, xaxis, and yaxis around the xaxis.' I know in theory how to do it, but I'm a little confused by what constitutes the bounded region because it's a sideways parabola, but if the xaxis is a ... 
MATH
Find the volumes of the solids generated by revolving the region in the first quadrant bounded by the following about the given axes. x = y  y3, x = 1, y = 1 (b) Revolved about the yaxis ? Hi Shawn, 97/105 * pi ? :) We need to cut away the volume of the region you get by ... 
Volume
Find the volume of the solid generated by revolving the region bounded by the given curves and line about the yaxis. y=50x^2 y=x^2 x=0 
calculas(URGENT..... PLEASE....)
1) A region is bounded by the line y = x and the parabola y = x2  6x + 10. What is the volume of the solid generated by revolving the region about the xaxis? would u please give the explanation with a detailed steps to the answer because i am not able to reach the final ... 
Calculus
Find the volume of the solid formed by revolving the region bounded by the graphs of y=4x^2 and y=16 about the xaxis. (Washer Volume) 
calculus
Sketch the region R bounded by the graphs of the equations and find the volume of the solid generated if R is revolved around the x axis. x= y^2 xy =2 
Math
I am in Calculus and am currently learning how to find the Area of a Surface of Revolution. I cannot understand what the surface of revolution (whether it's the xaxis, yaxis, or y=6) is. For example, I had a problem saying to use the washer method to find the volume of the ... 
Math
Find the volume of the solid generated by revolving the region bounded by y= 5 cosh (x) and y= 5 sinh (x) between x = 0 and x = 1 about the xaxis 
math
1) A region is bounded by the line y = x and the parabola y = x2  6x + 10. What is the volume of the solid generated by revolving the region about the xaxis? 
math
1) A region is bounded by the line y = x and the parabola y = x2  6x + 10. What is the volume of the solid generated by revolving the region about the xaxis? 
cal
Solve the problem. Find the volume of the solid generated by revolving the region bounded by the curve y=lnx, the xaxis, and the vertical line x=e^(2) about the xaxis. 
math
Find the volume of a solid generated by revolving the region bounded by y=secx and y=0 and x=0, xpi/4 about the x axis. Don't evaluate. Please help!!!! Also, what si the average value of this equation? I don't understand what that means. 
Calculus
Find the volume of the solid generated by revolving the following region about the given axis. The region in the first quadrant bounded by the curve y=x^2, below by the xaxis, and on the right by the line x=1, about the line x=2 
Math
Find the volume of the solid generated by revolving the following region about the given axis The region in the first quadrant bounded above by the curve y=x^2, below by the xaxis and on the right by the line x=1, about the line x=4 
calculus
Give the volume of the solid generated by revolving the region bounded by the graph of y=ln(x), the xaxis, the lines x=1 and x=e, about the yaxis 
Calculus
Use the disk method to find the volume of the solid generated by revolving about the yaxis the region bounded by the curves y=8−x^2 and the curve y=x^2. 
Calculus
Let R be the region bounded by the yaxis and the curves y = sin x and y = cos x. Answer the following. a)Find the exact area of R. b)A solid is generated by revolving R about the xaxis. Find the exact volume of the solid. 
Calculus
Let R be the region bounded by the yaxis and the curves y = sin x and y = cos x. Answer the following. a)Find the exact area of R. b)A solid is generated by revolving R about the xaxis. Find the exact volume of the solid. 
calculus
Find the volume of the solid generated by revolving the region about the given line. The region in the second quadrant bounded above by the curve y = 16  x2, below by the xaxis, and on the right by the yaxis, about the line x = 1 I have gathered, that washer method is to be... 
Calculus
This problem set is ridiculously hard. I know how to find the volume of a solid (integrate using the limits of integration), but these questions seem more advanced than usual. Please help and thanks in advance! 1. Find the volume of the solid formed by rotating around the x... 
Calculus
We're learning disks, shells, and cylinders in school but we have a substitute and I've been trying to teach this to myself. Can you check them please? =) Thank you! 1) Find the volume of the solid formed when the region bounded by curves y=x^3 + 1, x= 1, and y=0 is rotated ... 
Calculus
We're learning disks, shells, and cylinders in school but we have a substitute and I've been trying to teach this to myself. Can you check them please? =) Thank you! 1) Find the volume of the solid formed when the region bounded by curves y=x^3 + 1, x= 1, and y=0 is rotated ... 
calculus
Find the volume of the solid generated by revolving the region about the given line. The region is in the first quadrant bounded above by the line y= sqrt 2, below by the curve y=secxtanx, and on the left by the yaxis. Rotate the region about the line y=sqrt 2. i also need to... 
Calculus
Find the volume of the solid formed by revolving the region bounded by the graphs of y = x^2, x = 4, and y = 1 about the yaxis. I'm supposed to use this equation right? piR^2x^r^2. and then change y=x^2 to x=sqrty. That's all I got. 
Can no one help?!
1. Use cylindrical shells to compute the volume of the solid formed by revolving the region bounded by y= 2x and y = x^2 3 about x= 6. 2. Find the volume of the solid formed by revolving the region bounded by y= e^x , y= e^x, and y= 3 about y= 5. I'm desperately trying to ... 
Calculus
1. Find the volume formed by rotating the region enclosed by x=5y and x=y^3 with y¡Ý0 about the yaxis. 2. Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis y=18x6x^2 , y=0 : about the yaxis. PLease can anyone... 
AP Calculus AB
Find the volume of the solid formed by revolving the region bounded by the graphs of y = x^2, x = 4, and y = 1 about the yaxis 39pi/2 225pi/2 735pi/2 None of these I got 39pi/2 
calculus
Find the volume of the solid generated by revolving about line x = 4 the region bounded by x = y  y^2 and x = y^2  3 
Calculus
Find the volume of the solid formed by revolving the region bounded by y=x^3, x=2 and y=1 about the yaxis. Please help =( 
Calculus volume stuff
Find the volume of the solid obtained by rotating the region bounded y = 16 x and y = 2 x^2 about y =0 Find the volume of the solid obtained by rotating the region bounded about the xaxis by y=4x^2, x =1, and y = 0 Find the volume of the solid generated by rotating the region... 
CALCULUS MAJOR HELP!!!!!!
Find the volume of the solid obtained by rotating the region bounded y = 16 x and y = 2 x^2 about y =0 Find the volume of the solid obtained by rotating the region bounded about the xaxis by y=4x^2, x =1, and y = 0 Find the volume of the solid generated by rotating the region... 
Calculus
The following are about an infinite region in the 1st quadrant between y=e^x and the xaxis. A) Find the area of the region B)Find the volume of the solid generated by revolving the region about the yaxis 
calculus
Find the volume of the solid formed by revolving the region bounded by the graphs of y=3(x^2) and y=2 about the line y=2 
calculus 2
find the volume of the solid obtained by revolving the region bounded by the graphs of y=2+4xx^2 and y=2 about the line y=2. 
CALCULUS
The region R is bounded by the xaxis, yaxis, x = 3 and y = 1/(sqrt(x+1)) A. Find the area of region R. B. Find the volume of the solid formed when the region R is revolved about the xaxis. C. The solid formed in part B is divided into two solids of equal volume by a plane ... 
math
Finf the volume of the solid generated by revolving the region bounded by the curve. x=2/(y+1), x=0, y=0, y=3, about yaxis. My ans is pie unit^3. Is it correct? if wrong can i know the right calculation. 
CALCULUS HELP PLZ
The region R is bounded by the xaxis, yaxis, x = 3 and y = 1/(sqrt(x+1)) A. Find the area of region R. B. Find the volume of the solid formed when the region R is revolved about the xaxis. C. The solid formed in part B is divided into two solids of equal volume by a plane ... 
calculus
1. Let R be the region in the first quadrant enclosed by the graphs of y=4X , y=3x , and the yaxis. a. Find the area of region R. b. Find the volume of the solid formed by revolving the region R about the xaxis. 
Math
Find the volume of the solid of revolution obtained by revolving the plane region R bounded by y= x^5, the yaxis, and the line y=3 about the xaxis I've gotten 15/7(3^(2/5))pi, but it's not right. Please help 
Calc 2
Use the shell method to find the volume of the solid generated by revolving the region bounded by the line y = x + 2 and the parabola y = x^2 about the following lines: a) The line x=2 b) The line x=1 c) The x axis d) The line y=26 I know what the formulas are, but I can't ... 
calculus
Find the volume generated by revolving the region bounded by y=18x3x^2 and y=9x about the yaxis. a. pi/12 b. pi/6 c. 3pi/4 d. pi/3 help! .. :D 
math
Let S be a region bounded by the curve y=x+cosx and the line y=x as shown in the given figure. Find the volume of the solid generated when S is rotated about the xaxis. Find the volume of the solid generated when S is rotated about the yaxis. 
Calculus
Find the volume of the solid generated by revolving the region bounded by the line y=5x+6 and the parabola y=x^2 about the following lines: a) the line x=6 b) the line x=1 c)the x axis d) the line y=36 Thanks! 
Calculus
1. Use cylindrical shells to compute the volume of the solid formed by revolving the region bounded by y= 2x and y = x^2 3 about x= 6. 2. Find the volume of the solid formed by revolving the region bounded by y= e^x , y= e^x, and y= 3 about y= 5. 
Math
Find the volme of the solid generated by revolving the region bounded by the triangle with vertices (1,1) (1,3) and (2,3) about the x axis using shells and washers. 
Math
Find the volume of the solid generated by revolving the region bounded by y=x+(x/4), the xaxis, and the lines x=1 and x=3 about the yaxis. I've drawn the graph and I understand which part is being rotated, but I'm having trouble setting up the equation. Because there is a ... 
Calculus II
Find the volume of the solid generated by revolving the triangular region with vertices (1,1), (b,1), and (1,h) about: a) the xaxis b) the yaxis 
Calculus (Solid of Revolution)
The region R is bounded by the xaxis, x = 1, x = 3, and y = 1/x^3. C. Find the volume of the solid generated when R is revolved about the xaxis. 
Calculus
The region R is in the first quadrant and bounded by the xaxis, the y axis, and y= 3+2xx^2. Find the volume of the solid that results when R is revolving about y+1= 0 
calculus edit
1. Find the volume formed by rotating the region enclosed by x=5y and x=y^3 with y is greater than or equal to 0 about the yaxis. 2. Find the volume of the solid obtained by rotating the region bounded by the given curves about the specified axis y=18x6x^2 , y=0 : about the ... 
calculus
Find the volume generated by revolving about the xaxis the region bounded by the following curves y=sqrt/(4x+3),x=0,x=4, and y=0. (Use "pi" for π). 
calculus
Find the volume of the solid generated by revolving the region delimited by 5x+5y=40, y=0, and x=0 about the xaxis. 
calculus
determine the volume of the solid of revolution generated by revolving the region bounded by y=x^3x^5, y=0, x=0 and x=1 about the line x=3 
Pre Calc
Find the volume of the solid formed by revolving the region bounded by y = 16  x^2 and y = 0 about the xaxis . 
Calculus
The following are about an infinite region in the 1st quadrant between y=e^x and the xaxis. B)Find the volume of the solid generated by revolving the region about the yaxis Part A was solved below. Does anyone know how to do Part B? 
Calculus  Volume by Integration
Find the volume of the solid generated by revolving the region bounded by the given lines and curves about the yaxis: y=(x2)^32, x=0, y=25 (a)solve by either the disk or washer method (b)solve by the shell method (c)state which method is easiest to apply 
Calculus I
Which of the following represents the volume of the solid formed by revolving the region bounded by the graphs of y =x^3, y = 1, and x = 2, about the line x = 2? 
Calculus
Find the volume of the solid generated by revolving the region enclosed in the triangle with vertices (4.6,4.6), (4.6,0), (6.7,4.6) about the xaxis. 
Calculus
Let R be the square region bounded by y = 2, x = 2, and the x and yaxes. When R is rotated about the xaxis, what is the volume of the resulting solid? What is the volume of the solid generated by rotating R about the yaxis? 
Calculus  Integrals
Find the volume of the solid of revolution obtained by revolving region bounded by the parabolas 2y=x^2 and y^2=4x about the xaxis 
Calculus (Solid of Revolution)
The region R is bounded by the xaxis, x = 2, and y = x^2. What is the the volume of the solid formed by revolving R about the line x = 2? 
Calculus  HELP URGENT PLEASE
The region R is bounded by the xaxis, x=2 and y=x^2. Which of these expressions represents the volume of the solid formed by revolving R about the line x=2? 
calculus1
Region R is bounded by x=22y^2 and x=1y^2 find the volume of the solid generated if R is revolved about the yaxis Anybody help me with this? thanks! 
Halfway solvedcalc
So I'm trying to solve this problem but one thing I don't get is, how do I know which method to use just by looking at the graph (disk, washer, or shell)? Find the volume of the solid generated by revolving the region bounded by the graphs y=x^2 4x+ 5 and y= 5x about the ... 
Calculus AP
Let R be the region bounded by the graphs of y=cos((pi x)/2) and y=x^2(26/5)x+1. A. Find the area of R. B. The vertical line x=k splits the region R into two equal parts. Write, but do not solve, an equation involving integrals that solves for k. C. The region R is the base ... 
CALC
Find the volume of the solid obtained by revolving the region bounded by y=(19/3)x(19/3)x^2 and the xaxis around the xaxis. Keep answer in terms of pi PLease explain each step 
Calculus Help!!
Region R is bounded by the functions f(x) = 2(x4) + pi, g(x) = cos^1(x/2  3), and the x axis. a. What is the area of the region R? b. Find the volume of the solid generated when region R is rotated about the x axis. c. Find all values c for f(x) and g(x) in the closed ... 
calculus
Consider the region bounded by the parabola y=x^2 and the line y=16 . (a) What is the volume of the solid generated when revolving this region about the line y=16 ? 
Integral calculus
Use the cylindrical shell method to find the volume of the solid generated by revolving the area bounded by the given curves (x3)^2 + y^2 = 9, about yaxis. 
calculus
Let R be the region in the first quadrant bounded by the graphs of y=e^x, y=1/2x+1, and x=2. Then find the volume of the solid when R is revolved about each of the following lines... the x axis, y=1, y=2, the y axis, x=1, and x=3. 
calculus
find the volume of the solid formed by revolving the region bounded by the graphs of y=x^3,y=1, and x=2 about the xaxis using the disk method. 9 express the answer in terms of pie) i got the answer to be 3/5 pie but im not sure if is right. i used the formula V=(pie)(r)^2W 
calc
Find the volume of the solid generated by revolving the given region in the 1st quadrant about the yaxis: y=10x^2,x=0,y=810.