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

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Q: Calaulate the volume between 2= 12x°+ay2 Vax? 2. and 2 = 6- 2x- 2y?

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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 triple integral to find the volume of the solid

A: In this question, we use the triple integral in cylindrical coordinate.  Volume=∫∫∫Erdzdrdθ

Q: An oil storage tank can be described as the volume generated by revolving the area bounded by 4 y 0,…

A: We will use disc method to find the volume of the tankLet the region bounded by y=f(x), x=a, x=b and…

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: Find the volume of a right cylinder whose height is 12 and whose radius is 5. Use 3.14 for Pi and…

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Q: Calculate the volume generated by the circle x^2 + y^2 -4x=-3 that revolves around ox

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Q: calculate the volume of the 1st octant under the plan 2x + y + z = 10

A: answer

Q: Find the volume of sphere by using Multiple Integrals

A: We will find the volume of a sphere generated by revolving the semicircle y = √ (R 2 - x 2) around…

Q: Use a triple integral to find the volume of the solids

A: Consider the function. z=4 and z=1-r2 The radius is defined as, 0≤r≤1 And, the angle is defined as,…

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: Solve for the volume of the cylinder. 14ft 9ft 2395.64ft3 O ~1,384.74ft3 2197.82ft3 O 25,538.96ft3

A: From the figure it can be seen that  h=9,d=14r=d2=142=7

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: Find the volume of the solid cut from the first octant by the surfacez = 4 - x2 - y.

A: Consider the given surface  z=4-x2-y The domain is restricted by the first quadrant x≥0,  y≥0 The…

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

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Q: . Each integral represents the volume of a solid. Describe the solid: n " sin xdx

A: Given: π∫0πsinxdx Evaluating integral: π∫0πsinxdx=π-cosx0ππ∫0πsinxdx=π-cos π+cos…

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

A: Let's find.

Q: 4 The integral " L* 1 dzdodr can be used to find the volume of a cylinder. Select one: True False

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Q: Show that if a solid figure is revolved about the x-axis, its volume of revolution is given by V= a…

A: To show that if a solid figure is revolved around the x-axis, its volume of revolution is given by…

Q: Find the volume of the solid situated in the first

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

A: The integral represents the volume of a solid.

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: Use a double integral to find the volume of the indicated solid. 40- z = 25 – xy 20 10 2 y3x 4 5 4…

A: Given: z=25-xyy=xy=5

Q: Use multiple integrals to find the volume of the indicated solid. z-8-2y 6- 4- 2- y 3. 0sys3 O 32 O…

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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 solid. 80/3 x+ y +z = 6 00 3)

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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: Set up an integral to find the volume of the wedge shape below. Do not solve the integral.

A: Let h be height from base and l be length to right on the base. Note that both have linear relation…

Q: A ball of a radius 6 has a round hole of radius 2 drilled through its center. Find the volume of the…

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Q: Find the volume of a right cylinder whose height is 12 and whose radius is 6. Use 3.14 for Pi and…

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Q: Develop an expression that could be used to solve for the volume of this solid for any value of x. V…

A: The figure of solid is given in the problem is a cube with a cavity of a cone. From the figure, The…

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: Find the volume of the solid obtained by revolving y(x) = sin(8x) for 0 < x < n about the x-axis.…

A: yx=sin8x

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 sol X + y + Z = 4 22 00 35

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Q: Which integral should be used to calculate the volume of the solid cube with side lengths all 1?

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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. 85.33 x +y+z 8 24- 00 8. Need Help?…

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Q: The area on the first quadrant of the circle x^2 + y^2 = 36 is revolved about the line y + 10 =0.…

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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: Find the volume of the solid formed by rotating the blue triangle around the X-axis (round to the…

A: First we have to find the equation of given at blue part Given in point (4,3) point and (0,0) at…

Q: Find Volume under 3x +y?, abɔve the Yegion り=X, x=y"-y

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Q: The value of the triple integral

A: Integration is the process of finding the anti-derivative function of the given function. The…