Find the area of the surface obtained by rotating the circle x^2+y^2=r^2 about the line y=2r

Q: Sketch the region enclosed by the curves and find its area. 1 y = 9x² ,y = 9Vã,x = - and x = 1 %3D…

A: since you have posted multiple question in this question so i have solved first question as per our…

Q: Find the area of the regions enclosed by the two curves, y =x +3 and y = 4x+8. %3D

A: From the given problem:   y=x2+3 & y=4x+8       Now finding a point of intersection:…

Q: Calculate the area of the surface bounded by y = x^3 and y = −2x^2 + 3x

A:

Q: Find the area of ​​the rotating surface that occurs by turning circle x2+y2=4 around line x=2 .

A:

Q: Sketch the region enclosed by the curves and find its area. y = 9x² ,y = 9Vx,x = 1 - and x = 1 Enter…

A:

Q: Sketch the region enclosed by the curves and find its area. 1 y = 4x2 ,y = 4 x, x = -andx = 1 Enter…

A: So, the area will be                    Area=∫1414x-4x2dx       =∫1414xdx-∫1414x2dx       =73-2116…

Q: Find the area of the region bounded by the curves 1 y = (x+6)²¹ Y = 4 and the x-axis using vertical…

A: Given problem is :

Q: Find the area of the surface generated by revolving the curve about the indicated axis. 1) y = √4x -…

A:

Q: Sketch the region enclosed by the curves and find its area. 1 y = 9x² ,y = 9 Vx,x = - and x = 1…

A:

Q: Find the area of the propeller-shaped region enclosed by the curve x - y3 = 0 and the line x - y =…

A: x-y3=0  &  x-y=0⇒y3=x  &  y=x⇒y=x13  &  y=x Now the diagrammatic representation of the…

Q: The area bounded by the parabola y = 4x2, y-axis and the lines y = 1, y = 4 is

A:

Q: What is the area of the region enclosed by the curve y=x^2 and the lines y=x+6, x=0 and x=5?

A:

Q: Sketch the region enclosed by the curves and find its area. 1 y = 6x² ,y = 6/x, x =-andx = 1 Enter…

A: The region enclosed by the curves,y=6x2, y=6x, x=14, x=1

Q: What is the surface area generated by revolving the parabola y = x squred from x = 0 to x = square…

A:

Q: Find the area of the region bounded by the curves y = 1 (x+6)²¹ į, y = = 4 and the x-axis using…

A: Explanation of the answer is as follows

Q: Find the surface area give y^2 +4x =2lny, 0, 0≤y≤3  ; about the  x-axis.

A: We have to find the surface area give y2 + 4x = 2lny , 0 ≤ y ≤ 3 ,  about the  x-axis.

Q: Find the area of the surface formed by revolving the graph y=x on the interval [0,3] about x-axis.

A:

Q: Find the area of the surface generated by revolving the region bounded by, 1 1sx55 8x2 about the y-…

A:

Q: Determine the area of the surface generated by revolving y=x³ on (0,1), about the x-axis.

A: The given curve is y=x3  on 0, 1 about x-axis. This implies that,…

Q: Find the area of the surface generated by revolving the curve about the indicated axis. SET UP ONLY…

A: The area of the surface generated by revolving the curve around the y axis can be given as:…

Q: Find the surface area of the portion of the half ball with radius a which cuts off by the cylinder…

A: The equation of a ball with radius a is x2+y2+z2=a2. The surface area of the function z=fx,y over…

Q: Find the lateral (side) surface area of the cone generated by revolving the line segment y = x/2, 0…

A: The given line segment is y=x2 where 0≤x≤4. The line segment is revolved around x-axis, thus it…

Q: Evaluate the surface integral

A: Given,                ∫∫S8z2dS Where S is the boundary of the cube C=-1, 1×-1, 1×-1, 1.

Q: Find the area of the surface obtained by rotating the curve x = 3 (y + 2)3/2, 1 <y< 2, about the…

A:

Q: Calculate the surface area if the curve y = 3sqrt(x) is rotated about the x-axis.

A:

Q: find surface of patin Jenerated yースニュ0cx」 area revalving eurve 2. about メ~axis.

A:

Q: Sketch the region enclosed by the curves. x + y = 3, y + 3x = 3, x - y = 0 f(x) = + 10- -8-

A: Drawing the given line.

Q: Find the area of the region between the curves 4x + y = 12 and x = y. Area between curves

A: Solution

Q: find the area between the two curvesx=2-y^2x=y^4

A: Given thatx = 2-y2         ...(1)x = y4            ...(2)

Q: Calculate the surface area of the surface given by z=x^2+y^2 over the region 0<x<2 and 0<y<min(x,…

A:

Q: Find the area of the surface generated by revolving the curve y= 2 sqrt(1-x), from x=-1 to x=0,…

A: The volume of the solid generated by a region under y=f(x) bounded by the x –axis and vertical lines…

Q: Sketch the entire region bounded between the curves, x=y^2 and y^2 =x-4. Determine their…

A:

Q: Find the exact area of surface obtained by rotating the curve about the x-axis. y=sqrt5-x   3< x <…

A: consider the equation

Q: Find the area of the surface obtained by rotating the curve about the y-axis. y= x², 0sxs1 Set up…

A:

Q: Find the area of the surface that is obtained by rotating the graph of X = 1+ Y² (Y = 1 to Y= 2)…

A:

Q: Find the area of the region in the first quadrant that is enclosed by the curves x=y, y=x-, and the…

A:

Q: sketch the region enclosed by the curves and find its area y=1/x, y=2x-1,y=9

A: Consider the following graph:

Q: If the line x = 1- y, with 0 < y<1 is revolved about the y-axis. Find the generated lateral surface…

A: Given  the line x = 1-y with 0≤y≤1 is resolving about the y-axis we have to find the generated…

Q: Find the area of the region between the curves 4x + y = 12 and x = y. Area between curves =

A: R

Q: Find the area of surface that is generated by revolving the portion of the curve x = /9 – y? , -2 <…

A: We will find out the surface area of revolution.

Q: Find the area of the surface generated by revolving the region bounded by, 1sx55 8x2 about the y -…

A:

Q: Evaluate the surface integral.

A:

Q: Find the area of the region between the curves 4x + y = 12 and x = y. |3D Area between curves =

A:

Q: Find the area of the surface obtained by rotating the curve y = about y-axis for 1 ≤ y ≤ 3. Area:

A:

Q: Find the area of the region bounded by the line y = 2x – 5 and the parabola y = x² – 4x. - -

A: Graph of enclosed region -

Q: Find the area of the surface that is obtained by rotating the graph of X = 1+Y² (Y = 1 to Y= 2)…

A:

Q: Find the surface area generated by revolving the parabolic arc y=x² , Osxs6 around y-axis

A:

Q: Find the volume and the surface area that generated due to rotate the bounded area between the curve…

A: I use washer method to find volume about x axis

Q: Find the area of the surface generated by revolving the curve x = Osys2, about the y-axis

A: Given: The curve is x=y32, 0≤y≤2 about the y-axis The formula for find the area of the surface is…

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

A: