What is the area of the enclosed surface bounded by the x-axis, x = 2 and y=x2 ?

Q: Find the surface area of z=x2+y above the triangle with vertices (0,0),(2,0),(2,2)?

A: The surface area of a function z=f(x,y) over a region D is given by: Surface Area= ∬D ∂z∂x2+∂z∂y2+1…

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

A: To Find: The surface area of the portion of the half ball with a radius a which cuts off by the…

Q: Find the volume of the 'ice-cream' that is bounded by x2 + y2 + z2 : = 35 and the upper cone z2 =…

A: The given problem is to find the volume of the ice cream that is bounded by given surfaces. Given…

Q: B) Find the area of plate bounded by y =x-1,y =3-x and y 0.

A: The area is the measure of the amount of space occupied by a plane figure. It can be expressed in…

Q: Find the area of the region bounded by the curves 1 y y = 4 and the x-axis using vertical strip.…

A: The given curves are y=1x+82 and y=4.

Q: Calculate the area of ​​the space limited by the curve y = 4x - x^2 and the axis OX

A: Given: The curve y = 4x -x2  To find: The area of the space limited by the curve y = 4x-x2  and the…

Q: Find the area of the plane region bounded by the curves y = Vx - 1, y = 3, the x-axis, and the…

A: Region bounded be the curves is given, we need to find the area of the region. Firstly,  we'll draw…

Q: Find the area bounded by the curves y = 3 Vx +1 and y = + 1. %3D

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Q: . Calculate the area enclosed by the curves y = x² and y = Vx. %3D

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Q: The area of the region bounded by the two curves y=z' and y 64 is %3D Square Units

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Q: : Find the area of the region R enclosed by the lines y= x, y x/3 and y = 2?

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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: What is the volume of the region bounded by the lines f (x) = x²,x = 2, and y 49 rotated about the…

A: Given data:     The given equation is: f(x)=x2. The second equation is: x=2. The third equation is:…

Q: Find the surface area generated by revolving x=sqrt(8y-y^2) about the y axis on the interval: y=…

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Q: Find the area of the region bounded by the curves y = the x-axis using vertical strip. (x+1)2 y = 4…

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Q: What is the area of the region bounded between the curves y = 6x and y = 4x? What is the area of the…

A: 1) The given curves are  y=6x2 and y=4x First equate both curves 6x2=4x  6x=4    x=23

Q: Find the area enclosed by the closed curve obtained by joining the ends of the spiral r = 30, 0 < 0…

A: According to the given information, it is required to find the area enclosed by the given curve.

Q: Find the area of the region bounded by the curves y = 1 (x+4)²² y = 4 and the x-axis using vertical…

A: Draw the region. Find the intersection point and then set up the required double integral to find…

Q: Find the area of the surface given by f(x, y) = 4+ x² + y² over the region bounded by 9 – x² and y =…

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Q: Find the area of the region in the plane bounded by the circles x2+y2  = 1, x2 + y2 = 2 and the…

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Q: Find the area enclosed by the closed curve obtained by joining the ends of the spiral r=2θ, 0≤θ≤4.5…

A: Given that  r=2θ, 0≤θ≤4.5 To Find the area enclosed by the closed curve obtained by joiningthe ends…

Q: Find area enclosed by curves y=2x, y=4x^2

A: Area enclosed by two curves is the measure of the area occupied by their intersection.

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

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

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Q: The enclosed area between y= 2 x and y= 6/x is evaluated by

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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: Sketch the region enclosed by the curves and find its area. 1 Y = V1 – 9x2' y = 2

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Q: Sketch the region enclosed by the curves/lines x = y, y =1/x, x = 3 and find its area.

A: given,         x=yy=1/xx=3

Q: Find the surface area generated by y = x³; x = 0 and x = 3 and is revolved on x-axis.

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Q: Find the area enclosed by the closed curve obtained by joining the ends of the spiral r = 10, 0 < 0…

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Q: Find the area of the surface z = x^2 − y^2 that sits inside the cylinder x^2 + y^2 = 1

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Q: Find the area of the region bounded by the curves 1 y=. (x+8)2¹ , y = 4 and the x-axis using…

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Q: enclosed

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

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Q: Find the volume of the cone generated by revolving about the y-axis the area bounded by the line 2x…

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Q: What is the solid formed when the area bounded by

A: Given: 2x+y=2 The  coordinate axis is revolved about the y axis. To find: What is the solid form.

Q: Find the area of the region enclosed by the curves between their intersections. y = 4x2 and y = Vx

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Q: Find the area bounded by The curves/lines 4y=x-2 Inx, y=0,x=1,x=4

A: Guven curves are 4y=x2-2lnx,y=0,x=1 and x=4

Q: x³ – 6x2 + 8x, and y = x² – 4x - -

A: Given curves, y=x3-6x2+8xandy=x2-4x To find the area bounded by above curves using vertical strips.

Q: Find the volume of the cone generated by revolving about the y-axis the area bounded by the line 2x…

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Q: What is the area of the region enclosed by the curves (y = 2x^2) and y = 4x? %3D

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Q: Find the area of the region bounded by the parabola x = y -y and the line y = x

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Q: D Find the area of the surface generated by revolving the region bounded by, 1 1 <x < 5 4 8x2 about…

A: In the question we have to find area of the given function.

Q: Find the area of the region bounded by the curves y = (x+8)2 y = 4 and the x-axis using vertical…

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Q: Find the area of ​​the surface S bounded by:

A: Given x2+y2=4, z=5x, z=0

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

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Q: what is the area of space bound between y=x^2 and y=x^3?

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Q: Find the area of region enclosed by the two curves y = Vx +1 and y = v2 x

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

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Q: Find the area of the plane region bounded by y=-x+2 and y=x²-2x

A: The given curves are y=-x+2 and y=x2-2x. The main objective is to find the area of the plane region…