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

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 enclosed by the closed curve obtained by joining the ends of the spiral r = 80,0 < 0 <…

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Q: Sketch the region enclosed by the curves and find its area. y = 7x ,y = 7Vx, x = - and x = 1 Enter…

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Q: The area of the region enclosed by the curve 4x2+25y²=50 is:

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Q: Find the area between the curves. x = 1, x = 2, y = 3x3 + 2, y = 0

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Q: Find the area of the region bounded by the curves y= 2² - 3 and y = 2x + 5.

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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 &amp; y=4x+8       Now finding a point of intersection:…

Q: Find the line y=mx that divides the area under the curve y=x(1-x) over [0,1] into two regions of…

A: Given,           The line y = mx that divides the area under the curve y = x(1-x) over [0,1] into…

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

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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 bounded by one loop of the curve y"(1 - у?)

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Q: Find the area bounded by the curve y=x^2 − 4, the lines y = 0 and x = 4

A: The graph is shown below:

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  &amp;  x-y=0⇒y3=x  &amp;  y=x⇒y=x13  &amp;  y=x Now the diagrammatic representation of the…

Q: Sketch the region enclosed by the curves y = x² and y = 4x – x² and find its area.

A: Plot the 2 curves and find the area A to be calculated. The shaded region between the curves is the…

Q: Find an integral for the area of the surface obtained by rotating y = √25-x, 9 ≤x≤ 16, about the…

A: To find an integral for the area of the surface obtained by rotating the below equation about the…

Q: Find the area bounded by the curve y = 4x - x² and and the lines x = 0 and y = 4. %3D Answer:

A: we can find the area between the curve and the lines by integrating the curve function through lines…

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?

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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 Surface area after revolving about х-ахis y = Vx, 1 < y < 2

A: Use the formula of surface area of revolution along x-axis.

Q: y = 4 – x2 y = 4 – 4x - -5-

A: Definition used -             The area between two curves f(x) and g(x) -…

Q: y = } + sxs1 <x<1 2

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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: 2 y : 1+x² ve y = x² %3D

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

A: Given

Q: Compute the rotated area bounded by y = 2x, y = 8 about line x = 3

A: Given regions are: y=2x2, y=8 and the line x = 3 We have to compute the rotating area bounded by the…

Q: What is the area of the curved surface of a right circular cone of radius 11 and height 60?

A: Since you have asked multiple questions in a single request, we would be answering only the first…

Q: Find the areas of the regions enclosed by the two curves, y and y = 2. %3D

A: The given curves are: y=x28y=2

Q: area bounded by the curves y2= 6x and x2 = 6y?

A: Given curvesy2=6x or y=6xand6y=x2 or y=x26

Q: Sketch the region enclosed by the given curves and calculate its area. y=4-x to the power of 2, y=0

A: The given equation is

Q: Sketch the region enclosed by the curves y = x2- 4 and y = 3x − 4, and find its area.

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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: Sketch the region enclosed by the given curves and find its area. x = y4,  y = square root of (2 -…

A: We first sketch the region using a graphing calculator

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: Find the area enclosed by the closed curve obtained by joiningthe ends of the spiralr=5θ, 0 ≤ θ ≤…

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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 of the = -, y=3-k| region that is restricted between is curves.

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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: Evaluate the line integral a xds where C is one quarter of a circle (in the first quadrant) of…

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Q: Sketch the region enclosed by the curves y = x2  and y=4x-x2 and find its area.

A: Given: y=x2 and y=4x-x2

Q: Find the area of the surface generated by revolving the curve y = Osxs2, about the x-axis. 9

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Q: Determine area under curves y = x2 + 3 and y = 7 - 3x. Show with sketch

A: Topic = Application of integration

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

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Q: rotate the region bounded by y=sqrt(x), y=3 and the y-axis about the y-axis

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

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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…

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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 surface area obtained by rotating y = V9 – x² -2sxs-1

A: As we know that; The expression for the area of surface rotating about the x-axis. S=2π∫abfxf'x2+1dx…

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 region bounded by, 1 + 6 y 1<x < 3 16x4…

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