Find the area of the surface generated when y=4x and x=1 is revolved about the yaxis. We have to use the surface area formula of revolution. Integral (2pi*f(x)sqrt(1+f'(x)^2))dx
212,658 results

Calc 2 Urgent Surface Area of Revolution Question
Find the area of the surface generated when y=4x and x=1 is revolved about the yaxis. We have to use the surface area formula of revolution. Integral (2pi*f(x)sqrt(1+f'(x)^2))dx 
Calc 2 Urgent Surface Area
Find the area of the surface generated when y=4x and x=1 is revolved about the yaxis. We have to use the surface area formula. 
Calculus HELP plz
Find the area of the surface obtained by rotating the curve y=sqrt(4x) from x=0 to x=1 about the axis. about the xaxis. surface area= ⌠ 2pi * f(x)*sqrt[1 + (f'(x))^2] dx from a to b ⌡ it's been 45 years since I used that formula. I ended up with the integral of (... 
Math  Calculus
Find the area of the surface of revolution generated by revolving the curve y = 3 sqrt (x), 0 <= x <= 4, about the xaxis. Okay, so I've set up the integral like this: 2pi ∫[0,4] (3 sqrt (x))(sqrt(1+(1/4x)))dx Which is coming out to 108.5, but that's not giving me the ... 
Math (Calculus II) (Volume Revolution Setup)
Consider the graph of y^2 = x(4x)^2 (see link). Find the volumes of the solids that are generated when the loop of this graph is revolved about (a) the xaxis, (b) the yaxis, and (c) the line x = 4. goo.gl/photos/v5qJLDztqsZpHR9d7 I'm just having trouble trying to set up the... 
Calculus II/III
A. Find the integral of the following function. Integral of (x√(x+1)) dx. B. Set up and evaluate the integral of (2√x) for the area of the surface generated by revolving the curve about the xaxis from 4 to 9. For part B of our question , the surface of revolution ... 
Math
Let A denote the portion of the curve y = sqrt(x) that is between the lines x = 1 and x = 4. 1) Set up, don't evaluate, 2 integrals, one in the variable x and one in the variable y, for the length of A. My Work: for x: integral[4,1] sqrt(1+(dy/dx)^2) dy/dx = 1/2sqrt(x) (dy/dx... 
Calc 2
Find the area of the surface generated when y=4x and x=1 is revolved about the yaxis. 
Calculus
Suppose that the region between the xaxis and the curve y=e^x for x>=0 has been revolved around the xaxis. Find the surface area of the solid. I got 3*pi The book shows an answer of pi * [sqrt(2) + ln(1 + sqrt(2))] Where do I go wrong? For the sides of the surface, I ... 
Calculus
Hello. I would appreciate it if someone could check my answers. I'm sorry it is so long. 1.) Let R denote the region between the curves y=x^1 and y=x^2 over the interval 1<= x <= 10. a. Set up an integral for the area of R. My answer: 1.403 b. Find xbar, the x ... 
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 ... 
Integral Calculus
Find the area of the surface generated by revolving the given curve about the yaxis. 8xy^2=2y^6+1 , 1<=y<=2. thank you so much.. :) 
Integral calculus
find the area of the surface generated by revolving about xaxis the upper half of the ellipse 4x^2 + 16y^2 = 64 
asdf
Find a definite integral indicating the area of the surface generated by revolving the curve y = 3√3x ; 0 ≤ y ≤ 4 about the x – axis. But do not evaluate the integral. 
Calculus check and help
Let f and g be the functions given by f(x)=1+sin(2x) and g(x)=e^(x/2). Let R be the shaded region in the first quadrant enclosed by the graphs of f and g. A. Find the the area of R. B. Find the value of z so that x=z cuts the solid R into two parts with equal area. C. Find the... 
math
Okay. So i'm doing this project for my geometry class about different sports, soccer, baseball, basketball, bowling, golf, volleyball and pool. I have to find the surface area, volume, diameter, circumference, and radius of each of the balls. I got a circumference for each one... 
Calculus
This is the questions I have trouble with : Set up (do not evaluate) the integral that gives the surface area of the surface generated by rotating the curve y=tanhx on the interval (0, 1) around the xaxis. Anyone who can help? Not really sure how to even begin! Thanks 
integral calculus
find the volume of the solid generated by revolving the area by the given curves about the indicated axis of revolution y^2=4ax,x=a;about the yaxis 
integral calculus
find the volume of the solid generated by revolving the area by the given curves about the indicated axis of revolution y^2=4ax,x=a;about the yaxis. 
calculus II SURFACE AREA Integration
Find the exact area of the surface obtained by rotating the curve about the xaxis. y = sqrt(1 + 5x) from 1 ≤ x ≤ 7 
Calc
Set up and evaluate the definite integral for the area of the surface generated by revolving the curve about the yaxis. y = cube rt. (x) + 2 Thank you so much!! 
Calculus
Let A denote the portion of the curve y = sqrt(x) that is between the lines x = 1 and x = 4. 1) Set up, don't evaluate, 2 integrals, one in the variable x and one in the variable y, for the length of A. My Work: for x: âˆ«[4,1] sqrt(1+(dy/dx)^2) dy/dx = 1/2sqrt(x) (dy/dx)^2... 
University Calculus
Set up (do not evaluate) the integral that gives the surface area of the surface generated by rotating the curve y=tanhx on the interval (0, 1) around the xaxis. Anyone who can help? Not really sure how to even begin! Thanks 
calculus 2
The curve y=sinh(x),0<=x<=1, is revolved about the xaxis. Find the area of the resulting surface. 
Calculus
Find the exact coordinates of the centroid. y = sqrt[x], y = 0, x = 9.  Is this basically 1/4 of an oval/ellipse? If so then the area would be: pi*9*3, correct? So the X coordinate would equal: 1/Area * Integral from 0 to 9 of (x*f(x))*dx Which equals: (4/(27*pi... 
math
how would you find the surface area of a cylinder with 1.7m for the diameter, and 3m for the height? would you use the formula S.A = 2pi x r x h, or S.A = area of two congruent circles + area of rectangle? 
Calc
Set up and evaluate the definite integral for the area of the surface generated by revolving the curve about the xaxis. y = (x³/6) + (1/2x), 1≤ x ≤ 2 
Calculus
Find the volume of the solid whose base is the region in the xyplane bounded by the given curves and whose crosssections perpendicular to the xaxis are (a) squares, (b) semicircles, and (c) equilateral triangles. for y=x^2, x=0, and y=0 (a) integral (x^2)^2 from 0 to 2=32/5... 
Calculus
Determine the volume of the solid abtained when the region bounded by y=sqrt x and the line Y=2 and x=0 is rotated: (i) about the xaxis (ii) about the line x=4. (i) Each element of the body of revolution with thickness dx, has area pi*(sqrt x)^2 dx = pi x dx. Integrate that ... 
Calculus
The region enclosed by the graph of y = x^2 , the line x = 2, and the xaxis is revolved abut the yaxis. The volume of the solid generated is: A. 8pi B. 32pi/5 C. 16pi/3 D. 4pi 5. 8pi/3 I solved for x as √y and set up this integral: 2pi * integral from 0 to 2 of y√y. But ... 
Math Homework
1) Given the side of a square pyramid is 6cm and the altitude is 4cm calculate the surface area. 2) Given the side of a square pyramid is 12cm and the altitude is 8cm calculate the surface area. 3) Given the side of a square pyramid is 18cm and the altitude is 12cm calculate ... 
Algebra 1
Earth has a radius of about 6.4 x 10 to the 6th power m. Approximate the surface area of earth using the formula for the surface area is a sphere, S = 4 pi r squared. Earths surface is about 70 percent water. About how many square meters of earths surface are covered with ... 
calculus
Find the surface area of the solid generated by rotating the area between the yaxis, (x^2/y) + y = 1, and 1≤y≤0 is rotated around the yaxis. 
Prisms and Surface Area
Use the formula S=2(lw)+2(lh)+2(wh) to find the surface area of of a rectangular prism with the following dimensions: length=2cm width=3 cm height=4cm To be continued, please help, answer this question from my work book, I have some more to. 
Calculus
Hello, I would like to make sure the answers to these questions are correct. 1. Using the shell method, what is the volume of a solid that is generated by rotating the region by y = x^2 and x = y^2 about the x axis. My Work: r = y h = sqrt(y)  y^2 2pi ∫[0,1] (y)((sqrt(y)  ... 
Functions, graphs
f(x)=(x+1)/(1+x^2) a) explain why the graph lies above the x axis on the interval x=0 and x=sqrt(3) b)write an expression using the indefinite integral that gives the area between the graph f and the x axis between the values x=0 and x=sqrt(3). c)use integration to find the ... 
CALCULUS problem
There are four parts to this one question, and would really appreciate if you could show and explain how you get to the answer, because I tried looking up how to find the answer myself, but nothing made sense. Thank you! 11. The region R is bounded by the xaxis, x = 1, x = 3... 
calculus
Surface area of revolution y=(x^3)+3 about the xaxis from (0,1) 
math(again)
the ? says "a cone has the surface area of 160 sq. in. If the dimensions are reduced by 1/2,what is the surface area of the new cone?" i just cant seem to find the formula for the surface area of the cone. 
Calculus I
Find the exact area of the surface obtained by rotating the curve about the xaxis. y = sqrt(1+5x) from 1<x<7 
Calculus I
Find the exact area of the surface obtained by rotating the curve about the xaxis. y = sqrt(1+5x) from 1<x<7 
Calculus
alright. i need to write a definite integral for the volume and evaluate the integral for the region bounded by y=x^2, y=0, and x=1 revolved about the a) xaxis, b) the yaxis, c) x=2, and d) y=2. HELP! Lets do the x=2 axis. dV= pi rh dr where r is radius, h is height. r= x1... 
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. 
MathVolume and Surface Area
The volume of a cube is 125 cubic inches. Find the surface area. I know that the volume formula is V=Bh where v=volume, B=area of the base, and h=height. How do I get the surface area though? Also, The surface area of a cube is 384 square cm. Find the volume. I think it's ... 
Math
I am doing a project, are my answers correct? 1. Find and simplify the volumetosurfacearea ratio for each of the three possible ice cube shapes. You can use this chart. Shape S/A FormulaVolume Formula Cube  S.A=6s^2  V=s^3 6/s SphereS.A+4 pi r^2V=4/3 pi r^3 3/r ... 
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
This is a question from my textbook that does't have a solution and quite frankly I have no idea what to do. Any tips would be greatly appreciated. Given the function f defined by f(x) = 9  x^2. Find the surface area bounded by the curve y = f(x), the x axis and the lines x... 
Math
Find the area of the surface generated by revolving the curve y = (x + 3)^1/2, 2 ≤ x ≤ 4 about the xaxis. 
calc: relative error
The circumference of a sphere was measured to be 77 cm with a possible error of .8 cm. Use differentials to estimate the maximum error in the calculated surface area. Estimate the relative error in the calculated surface area. please help me..thank you! Area= 4 PI radius^2 dA... 
Chemistry
Compute the surface area of revolution about the xaxis over the interval. y = x^2, [0, 4] Is it (pi/12)(65^2  65)^(3/2)? 
Calculus
Compute the surface area of revolution about the xaxis over the interval. y = x^2, [0, 4] Is it (pi/12)(65^2  65)^(3/2)? 
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 ... 
calculus
Find the surface area generated when y = (x^3/12) + (1/x), from x=1 to x=2 is rotated around the xaxis. 
calc
1. Let R be the region bounded by the xaxis, the graph of y=sqr(x) , and the line x=4 . a. Find the area of the region R. b. Find the value of h such that the vertical line x = h divides the region R into two regions of equal area. c. Find the volume of the solid generated ... 
Calculus check
The functions f and g are given by f(x)=sqrt(x^3) and g(x)=162x. Let R be the region bounded by the xaxis and the graphs of f and g. A. Find the area of R. B. The region R from x=0 to x=4 is rotated about the line x=4. Write, but do not evaluate, an integral expression the ... 
Calculus
Let f and g be the functions given by f(x)=1+sin(2x) and g(x)=e^(x/2). Let R be the shaded region in the first quadrant enclosed by the graphs of f and g. A. Find the the area of R. B. Find the value of z so that x=z cuts the solid R into two parts with equal area. C. Find the... 
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 ... 
Calc
Find the exact total of the areas bounded by the following functions: f(x) = sinx g(x) = cosx x = 0 x = 2pi I set my calculator to graph on the xaxis as a 2pi scale. The two functions appear to cross three times between x = 0 and 2pi. (including 2pi) Now, from top to bottom, ... 
Calculus
The graph of the curve y2=10 x+10 is a parabola, symmetric with respect to the xaxis. Find the area of the surface generated by rotating about the xaxis the part of this curve corresponding to 0 ≤ x ≤ 20. 
Calculus
*Note I reposted this question as I changed the subject** The Region "R" under the graph of y = x^3 from x=0 to x=2 is rotated about the yaxis to form a solid. a. Find the area of R. b. Find the volume of the solid using vertical slices. c. Find the first moment of area of R ... 
Math  Geometry
A cylindrical solid has a cylindrical circular hold drilled out of the center. Bascially, it's a circular cylinder with a hollow spot right down the middle. Find the surface area of the resulting solid. radius of larger circle: 2in radius of smaller circle (hollow area): 1in ... 
Geometry / Math
Hi guys I need help ASAP, I have tried every thing I know about math and I cant figure any of them out. Thank you... _________________________________ 1. Use a formula to find the surface area of the square pyramid. (H.6ft.)(W.3ft.)(L.3ft.) A. 45 ft B. 81 ft*** C. 36 ft D. 72 ... 
MATH
Hi guys I need help ASAP, I have tried every thing I know about math and I cant figure any of them out. Thank you... _________________________________ 1. Use a formula to find the surface area of the square pyramid. (H.6ft.)(W.3ft.)(L.3ft.) A. 45 ft B. 81 ft*** C. 36 ft D. 72 ... 
MATHStuck
For each of the following, the Surface Area is given. Calculate the missing dimension. This is a rectangular prism with the width missing. The height seems to be 20 cm. The length I guess is 34 cm, and the Surface Area is 6020cm square. How do I find the missing width? I ... 
First Moment
The Region "R" under the graph of y = x^3 from x=0 to x=2 is rotated about the yaxis to form a solid. a. Find the area of R. b. Find the volume of the solid using vertical slices. c. Find the first moment of area of R with respect to the yaxis. What do you notice about the ... 
maths
A metal pipe is 63cm long. Inner diameter of a cross section is 6m and the outer diameter is 8cm find:surface area of the base a , surface area of the base b , the outer curved surface area inner curved surface area total surface area 
Math
Find the surface area of rectangular pyramids 1. Length= 1.15ft Width=0.82 ft Height of the slanted face =3.17ft Surface Area=7.1879ft^2 Formula for Rectangular Pyramid Surface Area : B+1/2pl B=area of base p=perimeter of base l=height of slanted face 
Calculus Homework
You are blowing air into a spherical balloon at a rate of 7 cubic inches per second. The goal of this problem is to answer the following question: What is the rate of change of the surface area of the balloon at time t= 1 second, given that the balloon has a radius of 3 inches... 
Calculus
The semicircular region bounded by the curve x=sqrt{9y^2} and the yaxis is revolved about the line x=3. The integral that represents its volume is V= âˆ« [a^b] f(y) dy What is f(y)? I've gotten f(y) to: (1+(sqrt(9y^2)))^29 But it's not being accepted. What am I doing ... 
calculus
Hi, I have the following HW question and I'm a little confused: Find the volume of the solid generated by revolving the region bounded by y=1/sqrt(x) and y=0 for 1 <= x <= 2 about the line y=1. So far I have the integral 2pi (1y)(11/y^2) dy from 1 to 1, but that's ... 
Geometry / Algebra 1
(a) The surface area of the prism shown is 314 square meters. Write an equation that u can solve to find the value of w. side a=wm b=8m and c=(w+4)m (on the picture) I'm guessing u use the formula surface area=2ab+2bc+2ac??? Well if so I need all that solved into y=ax*2+bx+c ... 
calculus
Given the area is in the first quadrant bounded by y²=x, the line x=4 and the 0X What is the volume generated when this area is revolved about the 0X? the answer is 25.13 but I don't know how. help me please 
Geometry
When finding the surface area of a composite figure, which in this case consists of a square pyramid sitting on top of a cube, I know that the first step is to find the surface area of the cube, but after that I would find the surface area of the square pyramid, but do I ... 
Calc 3 Surface Area
Find the surface area of the indicated surface. 1.) The Portion of z=4y+ 3x^2, between y=2x, y=0 , and x=2 2.) The Portion of z= x^2 + y^2, below z=4 . 3.) The portion of z= sqrt(x^2 +y^2) between y=x^2 and y=4. 4.) The portion of 2x+y+z=8 in the first octant. Any help with ... 
PreCalculus
The surface ares S (in square meters) of a hot air ballon is given by s(r)=4 pi r^2 where r is radius of balloon (in meters). If the radius r is increasing with time (in seconds) according to the formula r(t) = 2/3t^3, t is greater than or equal to 0, find the surface area S ... 
Calc
Consider the Dosage Formula y=(S/1.73 where y = childfs dosage, a = the adult dosage, and S = the surface area of the body in square meters. The Surface Area Formula is S(w,h)=0.0101w^(.425)*h^(.725) where S = the surface area of the body in square meters, w = the weight in ... 
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 ... 
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 ... 
mathPLEASE CHECK
Find the surface area and volume of each of the following figures: d.Right circular cylinder v=pir^2h pi(3)(3)(6) pi(54) v=169.6 cubic cm sa=2pi r^2 + 2pi rh 2pi(3)(3)+2pi(3)(6) 2pi(9)+2pi(18) 56+113=169 Sa=169 square cm is this right??? 
Math, Please check answers
I do not want to fail this, could you please help me with number 1 and 3.D, and then check my other answers? Thank you. 1. Find and simplify the volumetosurfacearea ratio for each of the three possible ice cube shapes. You can use this chart. Shape S/A FormulaVolume ... 
Math
A roll of paper towels is 10 inches high and 2.5 inches in diameter. How many full squares inches of paper towel can fit on the roll in 15 rotation? * all I need is a formula of this question. Do I use lateral surface area formula or total surface area formula 
maths
the ratio of total surface area to the curved surface area of a right circular cylinder is 3:2 find the volume if its total surface area is 14784 cm2 
algebra1 HELP PLEASE
Mary is making a pinata that has a balllike shape. The pinata has a surface area of 50 square feet. Use the formula for the surface area of a sphere: to find the radius of the pinata. Round your answer to the nearest hundredth. _____ feet 
algebra1 HELP PLEASE
Mary is making a pinata that has a balllike shape. The pinata has a surface area of 50 square feet. Use the formula for the surface area of a sphere: s=4(pi)^2 to find the radius of the pinata. Round your answer to the nearest hundredth. _____ feet 
Calculus II: Shell Method for finding volumes
Question: What is the volume of the revolution bounded by the curves of y=4x^2 , y=x, and x=0 and is revolved about the vertical axis. First, I had found the points of intersection to get the limits and I got 2.5616 and 1.5616. And then I plug it in the shell method formula ... 
Math 2
Use the diagram to find the surface area of a triangular prism. Find the area of the two triangular faces. Then find the area of each of the three rectangular faces. What is the surface area? Describe how you solved the problem. Prism has numbers of 4, 3, 6 and 5. And teacher ... 
Geometry
What is the lateral surface area of the prism? Rectangular prism Length: 17.2 Width: 3 Height: 5.5 283.8 m^2 292.4 m^2 325.4 m^2 407 m^2 I already found the surface area (325.4 m^2) and I'm using the formula for lateral surface area 2lh + 2wh... but I keep getting 222.2 which ... 
Algebra II
12. A sphere has a radius of 4x + 1. Which polynomial in standard form best describes the total surface area of the sphere? Use the formula S = 4 r2 for the surface area of a sphere. (1 point) 64 x2 + 32 x + 4 64 x2 + 16 x + 4 *my answer 4 x2 + 32 x + 64 4 x2 + 4 
Calculus  Center of Mass
Find the exact coordinates of the centroid given the curves: y = 1/x, y = 0, x = 1, x = 2. X = 1/Area*Integral from a to b: x*f(x)dx Y = 1/Area*Integral from a to b: [(1/2)*(f(x))^2]dx How do I find the area for this? Once I know that, is this the correct set up? X = 1/Area*... 
algebra1 question
A sphere has a radius of 4x + 1. Which polynomial in standard form best describes the total surface area of the sphere? Use the formula S = 4(pi)r^2 for the surface area of a sphere. 16(pi)x^2 + 16(pi) 16(pi)x^2 + 48(pi)x + 16(pi) 36(pi)x^2 + 48(pi)x + 16(pi) 36(pi)x^2 + 24(pi... 
Calculus
if the surface area of a sphere is given by the formula SA=4pir^2, find the rate of increase of the surface area if the radius is 4 cm and is increasing at the rate of 0.5 cm/min. 
maths
b) if the surface area of the base is increased by times its original surface area,(with the same vertical height),calculate the new surface area of the pyramid. 
Algebra
A sphere has a radius of 4x + 1. Which polynomial in standard form best describes the total surface area of the sphere? Use the formula S = 4(pi)r2 for the surface area of a sphere. 
math
The surface area of spherical ball of radius r is given by the formula S=4(22/7)r2. Find surface area of ball of diameter 12cm. 
calculs
Find the volume when the plane area bounded by y=x^23x+6 and x+y3=0 is revolved about (1) x=3 and (2) about y=o B. Find the volu6 of focus generated by revolving the circule x^2+y^2=4 about the line x=3 
Calculus check and help
Let R be the region bounded by the curves y=lnx^2 and y=x^24 to the right of the yaxis. A. Find the area of R. B. Find the folume geneated when R is rotated about the line y=4. C. Write, but do not evaluate the integral expression that gives the volume of the solid ... 
Integral Calculus
Volume of the area bounded by y=sin(x), xaxis, x is greater than or equal to 0 but less than or equal to pi, revolved about x=3pi/2. 
math/science
The total surface area of Earth is about 1.97 × 10^8 square miles. The surface area of land on Earth is about 5.73 × 10^7 square miles. Find the ratio of surface area of land to that of the entire planet. 
Calculus
The question is find the area of the reagion that is bounded by the curve y=arctan x, x=0, x=1, and the xaxis. So I've drawn the enclosed region. To find the area would I use the Disc/shell method? If so the formula that I came up with looks like this: If area = pi(r)^2 then ... 
algebra1please look over THANK YOU
Mary is making a pinata that has a balllike shape. The pinata has a surface area of 50 square feet. Use the formula for the surface area of a sphere: s=4(pi)^2 to find the radius of the pinata. Round your answer to the nearest hundredth. _____ feet i got 50=39.4 but don't ...