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Q: Find the area of the circular washer with outerradius 2 and inner radius 1, using Fubini’s Theorem

A: Given Circle with radius ‘2’  Circle with radius ‘1’

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A:

Q: Evaluate , ydV where E is the hemispherical solid region x? + y? + z? 0.

A: x^2+y^2+z^2 <=64, y>=0

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A: Mass density is defined as the mass per unit volume. gm/cm3 is, therefore, a unit of mass density.…

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A:

Q: Which of the following conditions do not have to be met to prove two solids have equal volumes using…

A: Given query is to find the condition which is not required to prove volume of solid are equal.

Q: Assume that a cell is a sphere with radius `10^{-3}`  or 0.001 centimeter, and that a cell’s density…

A: given: a cell is a sphere with radius or 0.001 centimeter and a cell’s density is 1.1 grams per…

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A:

Q: Suppose a l-m cylindrical bar has a constant density of 1 g/cm for its left half and a constant…

A: Given, Suppose a 1-m cylindrical bar has a constant density of 1g/cm for its left half and a…

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A:

Q: A cone has a volume V. What base radius and height will minimize the lateral surface area?

A: Given, a cone with volume V. Let the slant height of the cone m , radius R and height H.   The…

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…

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Q: Find the centre of mass of a uniform density equilateral trianqular sheet of side L.

A:

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

A:

Q: Let p(x) = vx represent the radial density of a disk. Calculate the mass of the disk of radius 4…

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Q: f(x) = ax+b, if one

A: A 6-meter rod has a linear density of f(x) = ax+b, if one end the linear density is 2kg/m and on the…

Q: Find the volume of the following: SIf xycos yzdV where, G is the rectangular box defined by the…

A:

Q: Find the enclosed by. volume r= 2cos & x* +y+2²= 4. %3D

A:

Q: late the volume of a water cylinder with a total height of 10 meters and whose diameter is 400…

A: Given: Height of the water cylinder h = 10 m Diameter of the cylinder d= 400 cm =4 m radius of…

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Q: integrate ƒ over the given region.Quadrilateral ƒ(x, y) = x>y over the region in the first…

A: Given,

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Q: Assume that a cell is a sphere with radius 10* or 0.001 centimeter, and that a cel's density is 1.1…

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Q: Find the mass of a sheet whose shape is given by the portion of the plane 3x+2y+z=6 which is in the…

A: We will find out the required solution.

Q: Show that the largest cylinder that could be inscribed in a sphere of radius 4Tr3 r has a volume of…

A:

Q: Which best compares the volumes of cylinder X and cylinder Y?

A: Cylinder X volume Vx = pi x r2 x h

Q: Find the Volume r= 2cos 0 , x2+yナ ?= 4.

A: Topic:- volume

Q: Find and (x, y) for the laminas of uniform density p bounded by the graphs of the equations. у- х, у…

A: Given: y = 18x, y=0, x=8  Therefore f(x)=18x and g(x)=0

Q: Suppose a 1-m cylindrical bar has a constant density of 1 g>cm for its left half and a constant…

A: Given-  a 1-m cylindrical bar has a constant density of 1 g>cm for its left half and a constant…

Q: The figure shows a steel semi-circular plate described by a region D. Assume a constant (uniform)…

A: Here is the Answer and Explanation

Q: Find the mass of a solid ball of radius 1, if the density at each point r units from the center is…

A: Given density at each point r units from the center of the ball is 11+r2.

Q: Find the moments and center of mass for the lamina of uniform density S bounded by the graphs of the…

A: Graph the region: The values along the y-axis varies from y = 0 to y = 3.

Q: Explain in layman's term the idea of the Density of Q in R

A: This is a problem of Topology.

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A:

Q: A thin wire is bent into the shape of a semicircle x2 + y2 = 16, x 2 0. If the linear density is a…

A: Consider the shape of the semicircle x2+y2=16,x≥0. That implies, r = 4. Calculate ds as follows.…

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Q: 5. Find the mass of a plate enclosed by y = x(1- x) in the first quadrant if its density is p= (x,y)…

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Q: If fex) = tdt,use the fundamental theorem Of culculus, part 1, +o find f'cx).

A:

Q: The fuel tanks for airplanes are in the wings, cross section below. The tank must hold 5800 lb of…

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Q: ゴー aab

A:

Q: A triangular prism (like the carton of the Toblerone Cholocate) has equilateral triangles as bases…

A: Given :            Price of platinum per 1 gram = 30 USD            Sheet manufacturing cost of…

Q: A right prism has height h and bases that are regular hexagons with sides s. Show that the volume is…

A: It is given that bases are regular hexagons with sides 's'. It clear from the figure that a hexagon…

Q: Find the volume of the largest rectangular box in the first octant with three faces in the…

A:

Q: A triangular prism (like the carton of the Toblerone Chocolate) has equilateral triangles as bases…

A: Given, Cost of top and bottom bases=30 USD per gram…

Q: A sphere with radius r is inscribed in a cylinder. Find the volumeof the cylinder in terms of r.

A: let a right circular cylinder of radius 'R' and height 'H' is inscribed in the sphere of the given…

Q: Determine the diameter of a closed cylindrical tank having a volume of 11.3 cu. m to obtain minimum…

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Q: Compute the center of mass ī on a rod of density p = 3 with x E (– 2, 3).

A:

Q: Find the mass of a straight circular rod of length a and radius b whose density varies as the square…

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Q: . A cone with radius 9 and slant height 15 has volume ___and lateral area____?

A: to find the volume and lateral area.