Compute the volume of the solid of revolution obtained by rotating the region bounded by y| = 5x, x = 1, in the first quadrant about the X-axis. 4л 3 None of these O 5n 2n 25л 3

Q: FIND THE VOLUME OF THE SOLID OBTAINED BY ROTATING THE REGION BOUNDED BY y = -10 + 6 x - x ², X = 1…

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Q: Find the volume of the solid obtained by rotating the region bounded by x = 2 – y? and x = y about…

A: Consider the given functions. x=2-y2 and x=y Put both the functions equal.…

Q: Find the volume of the solid obtained by rotating the region bounded by x = -6 + y? and x = y about…

A: The solution are next step..

Q: 7. Use the cylindrical system to setup the integral for the volume of the region bounded above by…

A: our solid is bounded below by the paraboloid  z=4x2+4y2 an thedbounded above by the paraboloid…

Q: Find the volume of the solid under the surface z = = 3x + 5y²2 and above the region in the first…

A: Important guideline: As you didn't ask a question that is to be solved, so according to Bartleby's…

Q: 2) Find the volume of the solid bounded by the cylinder x2 + y = 16 and from z = 1 to z + x %3D 2…

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Q: The volume of the solid under the plane 4 x+ 5 y - z=0 and above the region enclosed 27 by y= 3 x…

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Q: Find the volume of the solid bounded by z = 4х - Зу, Зу %3D 4х, Зу %3D - 4х and x = 7. Leave your…

A: Given that z = 4x - 3y, 3y = 4x, 3y = - 4x and x = 7 We have to find volume.

Q: Only one of these calculations is correct to evaluate the volume of the solid generated by revolving…

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Q: Find the volume of the solid obtained by rotating the region bounded by x = -6+ y² and x = y y about…

A: Consider the curves :                                         x=−6+y2  ,  y=x  about x =-8 The graph…

Q: Use a triple integral to find the volume of the solid bounded by the graphs of the equations. z =…

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Q: 45. Find the volume of the solid in the first octant bounded by the cylinders x² + y² = a², x² + z²…

A: First we will calculate the volume common to both the cylinders.  Parallel area perpendicular to x-…

Q: Find the volume of the solid obtained by rotating the region bounded by x = -6+ y² and a y about the…

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Q: 7. Find the volume of the solid obtained by rotating the region bounded by and r = 0 about the…

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Q: Only one of these calculations is correct to evaluate the volume of the solid generated by revolving…

A: To Determine :-  To Evaluate the volume of the solid generated by revolving the region bounded by y…

Q: What is the volume of the solid of revolution 832 15 obtained by rotating the region bounded by 512T…

A: Given: The region bounded by the curves, y=1 and y=5-x2 around the x-axis.

Q: The volume of the solid under the plane 3 x+ 3 y -z=0 and above the region enclosed 23 by y=2 x and…

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Q: Find the volume of the solid region in the first octant inside the cylinder x²+y2=4 and between the…

A: Introduction: Finding a function's anti-derivatives is made easier with the aid of integral…

Q: Only one of these calculations is correct to evaluate the volume of the solid generated by revolving…

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Q: What is the volume of the solid formed by revolving the region bounded by the graphs of x2 = 7y and…

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Q: Find the volume of the solid generated by revolving the area bounded by x? – 2kx – 2ky + k² = 0 and…

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Q: Find the volume of the solid obtained by rotating the region bounded by x = 2 – y? and x = y about…

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Q: 1) Compute the volume of the solid obtained by revolving around the r-axis by 27 (ie. a full…

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

Q: please set up the integral and find the volume. thankyou

A: The equation of cone with x axis as the axis of cone, is x2=y2+z2, |x|≤1 It is bounded by the planes…

Q: 5) Find the volume of the solid of the region common to the interiors of the cylinders x2 + = 1 and…

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Q: 4. Determine the volume of the solid obtained by rotating the region bounded by y = x² - 4x + 5, x…

A: as per our guidelines we are supposed to answer only one question. Kindly repost other question as…

Q: 3. Compute the volume of the solid obtained by revolving the area between the graphs of y = x² and y…

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Q: Find the volume of the solid generated by revolving the area bounded by x2 – 2kx – 4ky + k? = 0 and…

A: Given curves are:  x2-2kx-4ky+k2=0 4x-4y+k=0 The area bounded by them is revolving about the line…

Q: 2. Find the volume of solid generated by revolving the area bounded by: y=x² +1, x=0, y=0 and x=2…

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Q: Find the volume of the solid formed by revolving the region bounded by y = sin x and the x-axis from…

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Q: Find the volume of the solid obtained by rotating the region bounded by x =-3+ y- and a 2y about the…

A: By using volume of. Solid formula, we calculate the required volume.

Q: - Find the volume of the solid that is bounded above by the cylinder z = 4-x2, on the sides by the…

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Q: What is the volume of the solid formed by revolving the region bounded by 8y = r? and 8z = x axis? 7…

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Q: 5. Compute the volume of the region outside of the cylinder r² +y² = 16 and inside the sphere x2 +…

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Q: Find for the volume of the solid generated by revolving the region bounded by у %3 3 х?, у%3D0 аnd x…

A: Let,s find the curve and the bounded region The yellow color is mention the bounded region

Q: Find the volume of the solid generated by revolving the region bounded by the line x – 2y + 10 = 0,…

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Q: 2. Find the volume of the solid that results when the region enclosed by y= x? and y = 12 –x is…

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Q: Find the volume of the solid obtained by rotating the region bounded by x = 2 – y? and x = y about…

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Q: 2. Set up the integral(s) for finding the volume of the solid of revolution obtained by rotating…

A: We will find out the required volume of solid of revolution.

Q: Find the volume of the solid generated by revolving the area bounded by x? – 2kx – 4ky + k2 = 0 and…

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Q: 12. Use the method of cylindrical shell to determine the volume of the solid obtained by rotating…

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Q: Find the volume of the solid that results when the region bounded by v-x1=0 and x=l04 is revolved…

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Q: 2. Find the volume of the region common to the cylinders r2 + y² = 9 and z2 + z² = 9.

A: USING  FORMULA VOLUME =8∫∫∫dxdydz

Q: Find the volume of the solid obtained by rotating the region bounded by x = 3 - y and x = -2y about…

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Q: 2) Find the volume of the solid that is bounded above by the cylinder z = x? and below by the region…

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Q: Determine the volume of the solid formed by revolving the area bounded by 9x2 + 36x + 4y2 + 24y + 36…

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Q: Find the volume of the solid obtained by rotating the region bounded by x = -8+ y² and x = 2y about…

A: Given : x=-8+y2 , x=2y  and x=-9. Therefore, -8+y2=2y⇒y2-2y-8=0⇒y2-4y+2y-8=0⇒yy-4 +2y-4 = 0⇒y-4y+2 =…

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: What is the volume of the solid formed by revolving the region bounded by 10y = a? and 10æ = y?…

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Q: Find the volume of the solid bounded by the cylinders x2 + y2 = 4r2, y2 + z2 = 4r2.

A: We know that : Volume under the surface z = f(x, y) and above the region D in x-y plane is given by