O Interpret volume and calculate the integral without as a integrating.

Q: Use a double integral to find the volume of the indicated solid. 8. X +y+2 8 00

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Q: Calculate the volume y=x2   x axis,x=1 x=3 around the x axis

A: This is a simple question based on the topic application of integration which could be solved using…

Q: A/ Find the volume generated by revolving the area bounded by x = y-1 and y =5 around the x-axis?

A: We will find out the volume of solid of revolution by shell method.

Q: Use a double integral to find the volume of the indicated solid. 2아 z = 16 - y? 10 2 = 4 4

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Q: Use a double integral to find the volume of the indicated solid. Z= 8 6- y = x 2- 6 8 10 10 x = 9 5.

A: We need to find the volume of the indicated solid using the double integral. first we will form the…

Q: Use a double integral to find the volume of the indicated solid. x + y + z = 8 00 8

A: As we know that; The expression for volume as double integration; V=∫∫zx,ydydx Given: The equation…

Q: Interpret TV? + y? dydr as a volume and calculate the integral without integrating.

A: We have to interpret the given integral as volume.

Q: Plane न्य to

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Q: @ Eualuate the inteyral taken throughout the volume o f sphere

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Q: Use a double integral to find the volume of the indicated solid. z = 7-2 y y=2 4. X=4

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Q: Find the volume of the solid formed when f= Inr

A: Given : The curve is y = ln x , y = 0 , y = 2  and about  the y - axis .

Q: Use a double integral to find the volume of the indicated solid. X+y+Z = 8 00 8.

A: This question is based on application of integration.

Q: Use a double integral to find the volume of the indicated solid.

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Q: By performing a 3-dimensional integral, calculate the volume of a hemispherical shell

A: Volume of hemisphere is

Q: Use a double integral to find the volume of the indicated solid. X+ y +z = 6 731

A: we have to find the volume using double integral.

Q: ing. (b) Interpret Vr2 + y? dydx volume and calculate the integral without as a integrating.

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Q: Use a double integral to find the volume of the indicated solid. 8. X+y+Z =8 8. 8.

A: Given:       x+y+z=8 To find:          Volume of the indicated solid

Q: Use a double integral to find the volume of the indicated solid. x + y + z = 6 13 00

A: Let's find.

Q: Use a double integral to find the volume of the indicated solid. 50 Z = 49 - xy 40 230 20 10 4 y = x…

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Q: Use a double integral to find the volume of the indicated solid. z = 9– 2 y y=2 X/ 4 X=4

A: Solution :-

Q: Use a double integral to find the volume of the indicated solid. x + y + z = 6 00 4)

A: Take projection on XY axis i.e. onto Z axis and solve it.

Q: Q8, Find the volume generated when the area bounded by:

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Q: Each integral represents the volume of a solid.Describe the solid.

A: To evaluate: ∫042π6-y4y-y2dy Solution: Evaluating the integral,…

Q: Use a double integral to find the volume of the indicated soli 40 z 30 z = 25 – xy 20

A: Given: z=25-xy y=x    and   y=5

Q: Use a double integral to find the volume of the indicated solid. 8 X + y +z = 8 24 2 8 8.

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Q: Use a double integral to find the volume of the indicated solid. 70- z = 64 - y z 60 50 40 30 20 10…

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A: Computing the volume generated by rotating the area through one revolution about the x-axis.…

Q: Use a double integral to find the volume of the indicated solid. z = 9– 2 y 2 y=2 4 x=4

A: Given:

Q: 2 = 5, 2 = v2x2 + 2y2 1 - Calculate the volume of the area (using the triple integral

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Q: 15. Use the table of integralsto evaleuate, the integral. ex dx

A: We have to evaluate the integral ∫ex1-e2x32dx by using the table of integrals.

Q: Find the volume of the solid when the area contained by y=x and y=x3 is resolved around y=3/2.

A: We graph the curves using a graphing calculator

Q: Use a double integral to find the volume of the indicated solid. X+ y + z = 6 13 00 2. 6.

A: Here, given plane x+y+z=6 and the solid is bounded by the x,y,z axis. Now, when z=0⇒x+y=6⇒y=6-x…

Q: use a double integral to find the volume of the indicated solid.

A: Given:

Q: Find the volume of the sdid of revolution below. (1,1) 05 y=x

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Q: ing. (b) Interpret + y? dydx as a volume and calculate the integral without integrating.

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Q: Compute the ”volume” of the 4-dimensional unit ball, which is the area enclosed by the equation x^2…

A: The equation of four dimensional unit ball is x2+y2+z2+w2=1 Volume of ball is equal to…

Q: Use the shell method to write and evaluate the integral that gives the volume x + y? = 16 y 4| 3 2.

A: In this question we will use basic concepts of calculus i.e concepts of volume of solid revolving…

Q: Each integral represents the volume of a solid.Describe the solid.   ∫032 π x5 dx

A: Given : ∫03 2π x5 dx=?…

Q: Use a double integral to find the volume of the indicated solid. 6 X + y + z = 6 23 00 3. 6 6. 5, 5.

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Q: Use a double integral to find the volume of the indicated solid. 16 15 z 16- X-y 14

A: We are given the following. So, we have 0≤z≤16-x-y,  x≤y≤8, 0≤x≤8.

Q: Determine the volume of the solid formed by revolving the area bounded by x2 + y? = 25 and x + y=5…

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Q: Use a double integral to find the volume of the indicated sol X + y + Z = 4 22 00 35

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Q: Use a double integral to find the volume of the indicated solid. X + y + z = 6 23 2 00 2 5.

A: Find your answer below

Q: Use a double integral to find the volume of the indicated solid, 71 6 2-6 3 21 X 5 9. y. 8. 10 10

A: Given the graph is

Q: Use a double integral to find the volume of the indicated solid. x + y + z = 6 00

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Q: Use a double integral to find the volume of the indicated solid. 60 z = 49 – xy 50 40 30 20 10 y=x

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Q: Use a double integral to find the volume of the indicated solid. z = 9-2 y y=2 4 X=4

A: We are suppose to find the volume of the solid using double integration.  First integrate with…

Q: use a double integral to find the volume of the indicated solid.

A: Introduction: The volume beneath the surface z=f(x,y) over the region D can be deduced from the…

Q: Use a double integral to find the volume of the indicated nolid. 12 z- 12-X-y 11 10 4. 6. y 6 y-x

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