HW: Find the area of the surface generaled by revolving 3 1 2. y = √√x - ²x², 1 ≤ x ≤ 3 about 3 x-axis.

Q: Find the area of the surface generated when the given curve is revolved about the given axis. y=…

A: y= 21+ sqrt(441−x2) between the points ​(21​,21​) and sqrt(1763)/2,43/2​; about the​ y-axis

Q: Find the area of the surface generated by revolving the curve about they-axis. y=81-x²,05x59 A B…

A: Given :y=81-x20≤x≤9

Q: 37 (a) Find the area of the region enclosed by the parabola y = 2x - x² and the x-axis. (b) Find the…

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Q: * = Vy +5,

A: We have to evaluate the area of the surface generated by revolving the curve  x=y+5 between the…

Q: Which of the following is the total length of the curve of intersection of the surfaces x2 + y? + 22…

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Q: f(x) = √√/x = -²x³12 about the x-axis for 1 ≤ x ≤ 3. .3/2

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Q: Find the Area of the Surface obtained by rotating the curve about the y -axis y = √√x, 1 ≤ y ≤2

A: Given y=x13    1≤y≤2Rotating about y-axisarea of surface of revolution about tghe y…

Q: Thomas needs to find the area of the surface obtained by rotating the curve about the x-axis. He is…

A: solution of the give question is like as:

Q: Find the surface area of that portion of the sphere x² + y² +2²= 8 which lies in the first octant,…

A: The given problem is to find the surface area of portion of the given surfaces. Given portion of…

Q: Find the exact area of the surface obtained by rotating the curve about the x-axis. y = sqrt 1+3x ,…

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Q: B- Find the area of the surface generated by revolving the curve y = √2-x² about x-axis

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Q: 1. a) Find the length of the curve: y=+[1,2]. b) Find the area of the surface obtained by rotating…

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Q: 17. Evaluate the integral: S, 9x? – 6dx. 18.Determine the center of the circle x² +y² = 25. %3D

A: (17)  Given that I=∫-159x2-6 dx It is known that ∫xndx=xn+1n+1 So, I=9x33-6x-15 =3x3-6x-15 Now we…

Q: 5. Find the area of the surface formed by revolving the graph of y = √√x + 2 from x = 1 to x = 8…

A: Area surface generated by rotating a curve y= f(x)  in interval [a,b]  about x- axis  A=∫ab2πyds…

Q: 6. Find the area of the part of the surface z = x²-y², which lies in the first octant that is inside…

A: The solution is given by

Q: The arc length of the curve y = -In (797) 121 4624 + 0-11+ In (52) 68 11-In (79) 68 0-11+In(127) 68…

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Q: Find the area of the surface formed by revolving the graph of y = Vx + 2 on the interval [1,8] about…

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Q: Find the length of the curve: y = + [1,2]. 16 ) Find the area of the surface obtained by rotating…

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Q: Find the surface area of the object obtained by rotating x = Vy-6 2sys3 about the y-axis.

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