Find the area of the surface correct to four decimal places by expressing the area in terms of a si The part of the surface : = e¯"-V that lies above the disk x2 + y2 < 25

Q: Find the change in the lateral surface area of a right circular cone, with radius of base fixed as…

A: There is a right circular cone with base radius r and altitude height h.

Q: Find the area of the surface generated by revolving x= 4/9 - y,0sys about the y-axis. 16 x=49-v 12

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Q: A manufacturing firm wants to package its product in a cylindrical container 1 ft. high with surface…

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Q: Find the volume under f(x, y) over the region enclosed by r = 5 sin(20) in the first quadrant.

A: To find - Find the volume under fx, y = x over the region enclosed by r = 5sin2θ in the first…

Q: Use Simpson's Rule with n = 10 to approximate the area of the surface obtained by rotating the curve…

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Q: Compute the surface area of revolution about the ?-axis over the interval [0,?] for ? = 6sin(?).

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Q: 11. Find the change in the lateral surface area of a right circular cone, with radius of base fixed…

A: We want to write a formula that estimates the change that occurs in the lateral surface area of a…

Q: 2. Find the surface area generated by revolving the circle x = cost, y = 1 + sint, 0sts2n over x -…

A: Use formula of area about x axis

Q: Find the surface area of revolution about the x-axis of R.

A: Given curve y=2x, 2.3≤x≤4.2 We have to find the surface area of revolution.

Q: Sketch the region enclosed by the following curve and find its area. x=y¹, y = √2-x, y=0

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Q: Sketch the region enclosed by the given curves andfind its area.    y =  e x   ,  y = x e x     , x…

A: The given graph is shown below,

Q: Sketch the region enclosed by the curves and find its area. 1 x = 0, y = 1, y = e x = - NOTE: Enter…

A: The given curves are: x=1y, x=0, y=1, y=e. The curve x=1y can also be written as y=1x.

Q: Find the change in the lateral surface area of a right circular cone, with radius of base fixed as…

A: The lateral Surface area of a right circular cone is given as A =πrh2+r2        A2 =π2r2(h2+r2)…

Q: Find the volume of the smaller wedge cut from a sphere of radius 10 by two planes that intersect…

A: Here we have to find the volume of the similar wedge cut from a sphere of radius 10 by two planes…

Q: 5. Find the volume of spherical wedge formed by rotating through an angle of 45 a semi circle of…

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Q: 3. Find the surface area of the object obtained by rotating y = 4 + 3x?, 1<x<2 about the y-axis.

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Q: Use Simpson's Rule with n = 10 to approximate the area of the surface obtained by rotating the curve…

A: Given that, the function is y=secx and the interval is 0,π3. Note that, the formula for the surface…

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

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Q: Find the surface area of revolution about the y-axis of y VOur ancwor in torme of round to docimal…

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Q: 2. Let V be the volume of a right circular cone of height 10 whose base is a circle of radius 4…

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Q: Sketch the region enclosed by the curves and find its area. 2 x = 0, y = 1, y = e? X = -

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Q: Find the surface area of revolution about the y-axis of a 49 – y? over the interval 0 < y < 5

A: x = 49 - y2  Proof:  Let x = f ( y)  revolve about y - axis  Then surface area is given by formula…

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 and find its area. 1 Vī 1 – x² y = 2 NOTE: Enter the exact…

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Q: Find the area of the surface correct to four decimal places by expressing the area in terms of a…

A: Given that, The surface z=e-x2-y2 that lies above the disk x2+y2≤25. To find the area of the surface…

Q: Find the area of the surface generated by revolving x = 6t and y = 4ť (0 < t < 1) X

A: answer is in next step

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 surface area of the sphere with the given dimension. Leave your answer in terms of T.…

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Q: Find the volume of liquid needed to filla sphere of radius R to height R y V

A: Given that  Radius of sphere = R       and Find volume of liquid  at height at R/2.

Q: Find the volume of the torus that results when the region enclosed by the circle of radius r with…

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Q: 10 cm Name of Net: Area of Base: x 2 = Area of Lateral Face: 30 cm %3D 1111- Total Surface Area: Use…

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Q: A cone with.height h and radius r has a lateral surface area (the curved surface only, excluding the…

A: The curved surface area  S=πrr2+h2 r changes from 250 to 2.55 ∆r=2.55-2.50=0.05 h changes from 0.60…

Q: 39.) Show how to find the surface area of f(x,y) = xy that lies over the unit circle.

A: A detailed solution is given below.

Q: x = 0, y= 1, y = e4 %3D x =-,

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Q: Find the volume of the washer that is obtained when the shaded area is rotated about the x-axis. ry…

A: Given that y=x+2,y=2 The formula for washer method is, V=π∫abf(x)2-g(x)2dx Here in the problem,…

Q: Sketch the region enclosed by the curves and find its area. 1 y = 2 V1 – 49x² NOTE: Enter the exact…

A: Given : y = 1/√(1 - 49x²) and y = 2

Q: Determine the area of the surface of revolution of x=sqrt{y} from (1,1) to (2,4), rotated about the…

A: The equation is x=y.   Determine the derivative dxdy=12y   The formula for the area of surface…

Q: Sketch the region enclosed by the curves and find its area. 1 y = 2 V1- NOTE: Enter the exact…

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Q: Find the volume, if an area bounded by an asteroid I = cos t y = sin³ t ve y = -/I+x ,y-axis, and…

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Q: Find the surface area of revolution about the x-axis of y = 5 sin(4x) c

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Q: Sketch the region enclosed by the curves and find its area. 1 y = y = 2 VI– 9x2* NOTE: Enter the…

A: Calculation of Area

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: Calculate the area of the surface defined by r = 5, 0<0<Tl4,0<¢<n/2.

A: Please see the explanation below

Q: 135 Find the area of the surface generated by revolving x = 4V9 - y. 0sys- about the y-axis. 16

A: Solution

Q: Find the area of the surface correct to four decimal places by expressing the area in terms of a…

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Q: Find the volume of liquid needed to fill a sphere of radius R to height R y V = 씨5

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Q: (b) Find the volume of the solid generated by revolving the region enclosed by the curve y = 6x – x…

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Q: Find area the Surface generaled by re volving 3. メ=ツ about y-aXis

A: Here given curve is  Let h(y)=x=y^3