Q#4 a. Find the area of the surface generated by revolving about the x - axis the portion of the asteroid x3 + ys 1 shown in the accompanying figure. 3 + y23 = 1

Q: Find the area of the surface that is generated by revolving the portion of the curve y= x² between x…

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Q: (4) Find the surface area of the cone S a) b) c) d) 7-√√2 5-√3 p(r, 0)=(r cos 0,r sin 0,r) for 0≤0…

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Q: Find the surface area of the solid obtained by rotating the curve a 3 0 <y<1 about the y-axis. 2/2 –…

A: Given curve is x=y33 , 0≤y≤1 about y-axis find the surface area

Q: x³ +1 Q3: Find the length of y=√x+2,1 ≤ x ≤ 7, Using ds = 1+²dy into the surface area of the object…

A: Find the arc length of y=x+2, 1≤x≤7 using the differential element ds=1+dxdy2dy. For formula for…

Q: find the area of the surface S: x² + y² + 2² = 4 -A <tan -^ (*) FO 6 < COS Cos FJ VI (2) 4 DEX TI 3…

A: The given Surface is                    x2+y2+z2=4 ........1where π6≤tan-1yx≤π3 and π4≤cos-1z2≤3π4…

Q: Which of the following is the surface area of the surface generated by revolving the curve y = in…

A: We have to find

Q: 9.3.16. Compute the surface area of the surface obtained by revolving the given curve about the…

A: (a) To compute the surface area of the surface obtained by revolving the given curve about the…

Q: Which of the following is the surface area of the surface generated by revolving the curve y = in…

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Q: What is the area, br^2, of the surface of the revolution obtained by rotating the part of the graph…

A: If a curve x =g(y) is rotated around y-axis. Then area is :

Q: 9) Find the area of the surface generated by rotating about the y-axis y = x' between (0,0) and…

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Q: (a) The moment of inertia of a surface about the z axis is given by the formula I (le x2 + y? dS.…

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Q: 12. Find the surface area for the surface of revolution formed by revolving the curve y = v4 – x?…

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Q: The circle of radius 3 centered at the origin Ex. to calculate the area of the given region.

A: Given: The region between x-axis and the cycloid parametrized byr(t)=t-sin t, 1-cos t  for 0≤t≤2π

Q: 3. 3) 6) X= y 〇s454 6) Find the area 0f the surface of rotation Created by ocyEd curve about the 3.…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: The surface area of the surface generated by revolving y=1-x? for 0<x<1 about the x- axis is None s=…

A: surface area S =∫012πy.ds where ds=1+(dy/dx)2

Q: Find the surface area of the solid obtained by rotating the curve 0 <y<1 about the y-axis. 3 a) c)-…

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Q: Q.1 Find the area of the surface generated by revolving the given curve about the y - axis x = /9 –…

A: It is application of integral by using formula we can solve it. Detailed solution given below

Q: Q4:B/ Find the area of the surface generated by rotating the curve y = e", 0 < x<1, about the…

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Q: Find the area of the surface obtained by rotating the curve y = +, 1<1<2 about the y-axis. (a) 7(4 +…

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Q: Using Green’s formula, evaluate the integral ∮C(x+y)dx −(x−y)dy, where the curve C is the ellipse…

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Q: Q4(a) Find the area of the surface generated by revolving the curve, x = /6y – y2 ; 2<y<5

A: Given the curvex=6y-y2    , 2≤y≤5we need to find the area by revolving the curve about y axis from…

Q: III Find the area of the portion of the cylindrical surface y = 4- a2 in the first octant that is…

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Q: 1. Let a be a positive number. Find the surface area of the solid obtained by revolving the curve…

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Q: Find the area of the surface that is generated by revolving the portion of the curve y = 2/1-, zE…

A: Use formula of surface area revolved about x axis

Q: The figure shows the surface created when the cylinder y2 + z2 =1 intersects the cylinder x2 + z2 =…

A: It is given that, the cylinder y2 + z2 =1............... (1) intersects the cylinder x2 + z2 = 1…

Q: a) Find the surface area of the object obtained by rotating x = e2y , –1 <y <1 about the y – axis.

A: We have to find the surface area of the solid obtained by rotating the curve x=e2y about the y-…

Q: 36. Find the area of the surface generated by revolving the para- metric curve x = cos² 1, y = sin?…

A: Definition used -                               Area of the surface generated by revolving the…

Q: -2t Find the area A of the region between the parametric curve, x = = est, y= =e 6. 0<t< In5 and the…

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Q: Find the equation to solve the surface area obtained by revolving the parabola x? = 4y from x = -2…

A: If is a function, then the independent variable x is called the input of the function and the…

Q: Q:3: a) Find the surface area of the object obtained by rotating x=e2y, -1sys 1 about the y-axis.

A: Since you have asked multiple question, we will solve the first question for you.  If you want any…

Q: 2. Find the area of the surface generated by revolving the given curve about the y -axis. (a)…

A: Given b x=y3, 0≤y≤2c x=9-y2, -2≤y≤2

Q: Find the area of the surface generated by revolving the parabolic arc y = x 2 for 0≤x≤ 1 about the…

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Q: Find the area of the surface generated by revolving the curves about the indicated axis. 5) x = sin…

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Q: 4: Show yor work. a) | 1: Find the exact area of the surface obtained by rotating the curve y? +x…

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Q: Find the area of the region enclosed by the parametric equation x = t3 – 8t y = 6t2

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Q: H.W 1. Find the centre of mass of a thin plate of density & = 3 bounded by the lines x 0, y = x, and…

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Q: The moment of inertia of a surface about the z axis is given by the formula I Sls x2 + y? dS. Find…

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Q: Find the area of the surface of rotation created y = /2x – x2; <a< by rotating this curve around the…

A: By using area of surface formula, we calculate the required area of surface.

Q: 5 st36. about x-axis is The area of the surface obtained by rotating the curve * = 3t, y = 48 – 4t O…

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Q: Sketch the curve y2 = x(x-4)2 and find the volume of the solid of revolution formed when the closed…

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Q: y = 2(1+cos( Ɵ)) Find the area of the surface of revolution formed by rotating the upper half of…

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Q: *Q. ( 12 ), p. 410 : Find the area of the surface generated by revolving eУ + е-У the curve x = 0…

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Q: • Find the area of the surface generated by revolving about the x-axis the upper half of the ellipse…

A: IN THIS QUESTION WE HAVE TO FIND AREA FROM REVOLUTION OF A ELLIPSE.

Q: 2. Find the area of the ellipse S on the plane 2x + y + z = 2 cut out by the cylinder x2 + y? = 2x;…

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Q: 33. Find the surface area of the portion of the curve x²+y²4 from x₁=0 to x-2 when it is revolved…

A: We need to determine the surface area that is resulted when the portion of the curve: x2+y2=4 from…

Q: 4. Find the area of the surface formed by revolving the graph of f(x) = x² on the interval [0,…

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Q: Q#4 a. Find the area of the surface generated by revolving abuut the x – uxis the portion of the…

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Q: Find the area of the surface that is generated by revolving the portion of the curve y = x between x…

A: Given; y=x^2 between x=1 to x=2

Q: Find the area of the surface that is generated by revolving the portion of the curve y = x between x…

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Q: Q2:A: Find the surface area of the cone y = h -Vx² + z² where h is the height of the cone and a is…

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