1. Evaluate 1(4 + |#(4+2*)10 dz. Evaluate * In3 2. In 3r dr. 3. Find the volume of the solid of revolution when the curve y = 3r – r is revolved around the x-axis on [1,3).

Q: 3. Find the exact value of surface area of the solid that is described by the intersection of the…

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Q: 5. Find the volume generated by revolving the area under the eurve y = e from x = 0 to x = 1 (a)…

A: Given problem is :

Q: Set up the equation in solving volume of the solid generated when the arca bounded by z T. x = 0,…

A: This question is based on application of Integration.

Q: THE REGION BOUNDED BY 2y = x AND (x-2)² = − 4y + 12 15 REVOLVED ABOUT THE LINE Y = 4. DETERMINE THE…

A: Introduction: The washer method refers to this application of the slicing method. Because the slice…

Q: (9) Evaluate // 2² + y² + z²)³/? dV where D is the solid region in the first octant between the two…

A: Volume between the two spheres using spherical coordinates

Q: 24 of 34 Find the volume of the solid generated by revolving the area bounded by the given curves…

A: I use disc method to find volume

Q: (3+ In x)² Find the volume of the solid when the curve y=- is rotated 360° about the x-axis between…

A: Here, the function is y=f(x)=(3+ln x)32x12. The volume obtained by rotation is given by…

Q: The volume of the solid generated by the curve y = e, between z = 2 and z = 6 about the z- azis is

A: Given: The curve is y=e-x   To determine: The volume of the solid generated by the curve y=e-x…

Q: 16 The area under the curve 4y? (x2 + 1)3 was rotated about a line located to the left 9 of y – axis…

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Q: 4. Find the volume of the solid obtained by rotating about y ax[is the re[gion between y=x^2 and…

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Q: What is the volume of solid of revolution between the curves y=x+1 andy 0 around the x-axis on…

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Q: If the region under the graph of y = 3x +4 from a axis, then the volume of the resulting solid is 2…

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Q: 5. Use the method of Washers and Shells to find the volume of the solid generated when the region R…

A: Given, y=x2over [0,2] is revolved about the line y=-2.

Q: Q#1. Set up a formula using triple integral to find the volume of the solid enclosed between the…

A: We have to set up a formula using triple integral to find the volume of the solid enclosed between…

Q: 4. Find the volume created by the rotation round the x-axis of the part of the curve y² = 3x %3D…

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Q: 24 22. Find the volume generated by revolving about Ox the area bounded by the Ans. ra³. hyperbola…

A: As per the company guidelines We can first question only. Please understand. Kindly repost the…

Q: 1. Find the volume of the solid in the first octant bounded above by the sphere a? + y? + (z – 5)² =…

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Q: 2 - Find the volume generated by revolving the area under the curve y = e* from X= o to = ) (a)…

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Q: The volume of the solid generated by the curve y = e¯ª, between x = 3 and x = 8 about the axis is -

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Q: 7.3 5. Use the shell method to set up and evaluate the integral that gives the volume of the solid…

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Q: 10. Determine the surface area of the part of z = xy that lies in the cylinder given by x² + y² = 1.

A: Note:- Since you have asked multiple question As per our policy, we will solve the first question…

Q: :- Find the volume of the solid between y = x+1 which obtained the curves y = (x-1)² and by rotation…

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Q: 5. (6') Find the volume of the solid formed by revolving the area bounded by y = sin(x²), x E [0, T)…

A: Given - A bounded region To find - Volume of solid by revolving the region about specified line

Q: Suppose that a region R has area A and lies above the x-axis. When R is rotated about the x-axis, it…

A: Use the disc method to find the W in terms of V, k and A.

Q: Find the volume.

A: Consider the provided question,

Q: The bounded area generated from the curves y = 1 - x² and y = 0 is to be rotated around x = 1. Which…

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Q: (b) (2 pts. each) Set-up only the integral that will give the volume of the solid generated when the…

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Q: Consider the curves y x° + 1, y = 2, and x = 0. Set up the integrals for the following. The volume…

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Q: 4. Find the volume of the solid that lies under the paraboloid z = x? + y² and above the region R in…

A: We want to find the volume.

Q: 5. Find the volume under the paraboloid z = -x² – y², and above the cone z = -. -V#²+ y².

A: Given

Q: The surface area of the solid of revolution generated by rotating 3 x = (y² + 2)ž,1 sys2 about the…

A: Given function is x=13y2+332 where 1≤y≤2. The surface area of revolution of the function is given by…

Q: The surface area of the solid of revolution generated by rotating x = (y² + 2)²,1 < y s 2 about the…

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Q: 3. Find the volume of the resulting solid of revolution located in the first quadrant bounded by the…

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Q: 1 Find the volume generated when the area bounded by y=√√x and y=-x is rotated around the x-axis 2 A…

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Q: 3. Find the volume of the solid that lies under the paraboloid 5z = x² + y², above the xy-plane, and…

A: To find the volume of the solid that is bounded by given curves.

Q: Find the exact volume of the solid generated when each curve is rotated through 360° about t x-axis…

A: Explanation and solutions is given below....

Q: Suppose that g,(x) = 1/x' for x > 1, where r 1? Explain your answer.

A: c)

Q: Q2:A) find the volume generated from rotation between curves : y = tan(x) y=1 and the interval (, )…

A: The volume of a solid obtained by rotating the region between the region y=f(x) and y=g(x) from x=a…

Q: (3+In x) Find the volume of the solid when the curve y=- is rotated 360° about the x-axis between x…

A: Using disk method volume is:  V=∫ee3πy2dx     =∫ee3π3+lnx3/2x1/22dx     =π∫ee33+lnx3xdx…

Q: 1. Find the volume under the parabolic f(x,y) = x²+ 4y² and above the rectangle R :0 < x < 1,1 < y <…

A: Given  fx,y=x2+4y2

Q: The volume of the solid generated by the curve y = e², between z = 2 and z =7 about the I - azis is…

A: Given curve is y=e-x  x=2 and x=7 about the x axis find the volume

Q: 5. Find the volume generated by revolving the area under the rve y = e² from r = 0 to x = 1 (a)…

A: y=e^x

Q: 1 (#3) Find the surface area for y = 3 on [0, 3] rotating on the x- axis.

A: Given an equation of a curve, The solid will form by rotating the curve about the x-axis.

Q: 1. Find the volume of the solid in the first octant bounded by the coordinate planes, the plane x =…

A: Note: Hi! Thank you for the question As per the honour code, We’ll answer the first question since…

Q: 3. Find the volume of the solid above the paraboloid z = x¯+y¯ –4 and under the R = {(r, 0) |1< r <…

A: We have to find the volume under conditions

Q: 4 8. What is the volume of the solid generated when the region bounded by y= V4 +3x – x and y = 2 is…

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Q: d. Compute the volume of the solid obtained by revolving the graph of on 10, al about the x-axis

A: In the given question,concept of volume of solids of revolution is obtained. Volume of Solids of…

Q: a) Neatly sketch (and shade in) the area bounded by 5 y = sin ¹ (F2), v y = 0, x = 0 and a = 6 b)…

A: As per the question we are given a sine curve as : y = sin(6πx/5) And we have to : Sketch the area…

Q: 4.² / S² p² sin & dp do dº JTT/2 J1

A: To sketch the region of the integration.

Q: 5. Find the volume of the solid generated by revolving about the x-axis the smaller area bounded by…

A: Solution :- As per guidelines . I do first only.