Find the area of shaded region frx)- メ+3 grx)= -x²_ 3 Alx) 3 gre a) 176 3 5) = 88 C) 44 3.

Q: Sketch the region whose area is represented by the iterated integral. dyds un

A: Option C is correct.As lower limit in inner integration is tanx2 which you can see in the graph.if…

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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’

Q: Sketch the planar region bounded by y = x³, x +y = -2 and y = 0. Find its area.

A:

Q: Find the volume of the 'ice-cream' that is bounded by x2 + y2 + z2 : = 35 and the upper cone z2 =…

A: The given problem is to find the volume of the ice cream that is bounded by given surfaces. Given…

Q: By using either a double or triple integral, find the volume of the tetrahedron with vertices…

A: To determine :- The volume of the tetrahedron with vertices 0,0,0 , 1,0,0 , 0,1,0 , 0,0,1.

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…

Q: Derive the formula for the volume of a sphere of radius r by slicing.

A: We have, a sphere of radius r. The differential element shown in the figure is cylindrical with…

Q: y = 0, y = 2, y = 2 – (x + 2)´, y = 2 – x - -

A:

Q: Write six different iterated triple inte-grals for the volume of the tetrahedron cut from the first…

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Q: the Area under tro choid one arch of the ( = 70-1sine. 1Sine, y= 1cose

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Q: A metal plug has been designed using the intersection of the two cones z = √√x² + y² and √x² + y² +…

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Q: find the centroid of volume if the volum is equal to 7/15 π

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Q: Two identical spheres are placed so that one is on top of the other inside a right circular cylinder…

A: This question is related to cylinders and spheres, we will solve it using given information.

Q: The cube is 3cm on one edge. Each of these joints A and B is 1cm from the vertex nearest it. If two…

A: This question is based on 3-D volume calculation in whivh two plane cut a wedge from a cube. We got…

Q: Use the Theorem of Pappus to find the exact volume of a general cone created by rotating a triangle…

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Q: Consider a right-circular cylinder of diameter 1. Form a wedge by making one slice parallel to the…

A: The diameter of the right circular cylinder is d=1. The angle which is made by other slide to the…

Q: What is the area of the enclosed surface bounded by the x-axis, x = 2 and y=x2 ?

A: The area under the curve can be calculated by the integration. The formula for the integration is…

Q: Find the volume of the 'ice-cream' that is bounded by x2 + y2 + z2 = 95 and the upper cone z2 = 4x2…

A: We have to find the volume of the 'ice-cream' that is bounded by x2 + y2 + z2 = 95 and the upper…

Q: Find the radius of a right circular cylinder of maximum volume that can be inscribed in a sphere of…

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Q: Use the theorem of Pappus a = 2 is positioned with the Volume = %3D Write as an exact expressi

A: .assume that a disk of radius a=2 is positioned within the left hand of the circle  at x=b=9 and is…

Q: Consider a rectangular box B that has a bottom and sides but no top and has minimal surface area…

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Q: By using either a double or triple integral, find the volume of the tetrahedron with vertices…

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Q: Find the area of the portion of the plane in the first octant passing through the points (0,0,6),…

A: This question can be solved using the area of triangle in three dimensional geometry.

Q: about the y axis, which integral below giv area?

A: Introduction: The formula for the surface area of the curve rotated about y-axis is given by,…

Q: Find the volume of the region cut from the solid sphere ρ≤ a by the half-planes θ = 0 and θ = π/6 in…

A: Find the volume of the region cut from the solid sphere.

Q: Sketch the region enclosed by the curves and find its area. у %3D х, у %3D Зх, у %3D —х + 4 AREA 1

A: Consider the given question,Draw the graph by using the given line, y = x, y = 3x and y = -x + 4

Q: Determine the area of the right half of the cardioid formed by r = 8 +7 sin 0 16 14 12 10 8 6 4 -2…

A: The formula to find the area is, A=∫ab12r2dθ Since it is been asked to find the area of half of the…

Q: Determine the larger area bounded by x + y = 4 and x + y = 2. Enter only the numerical value…

A: 1. First, make the figure of the given equations. 2. Circle:  x2 + y2 = 4 = 22 3. Straight-line =…

Q: Find the volume (in m3)  of a right truncated triangular prism with a triangular base whose sides…

A: Please follow step 2nd .

Q: Determine the area of the region R that lies (between the parabolic curve and the straight line)…

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Q: Find the area of the surface obtained by rotating the region formed by 1 In x, 1<x < 2, - 2

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Q: 41. Find the volume of the solid which is the intersection of the two cylin- ders in Figure 9. Hint:…

A: Given: A solid with a circular base of radius a. Each plane perpendicular to the diameter AB…

Q: Find the volume enclosed by the torusp = 4 sin().-

A: The volume is given by: V=∫∫∫dv In spherical co-ordinate dV=ρ2sin φ dρ dφ dθ

Q: + 1 -оу-х -oy=x2

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Q: Sketch the region which is defined by the given condtions. 0 ≤ θ ≤ π, r ≤ 3

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Q: A cone is formed from a circular piece of material of radius 1 meter by removing a section of angle…

A: To determine the largest possible volume for the cone, if a cone is formed from a circular piece of…

Q: Sketch the bounded region enclosed by 2y = 4/x, y = 3, and 2y + 3x = 7, then %3D find its area.

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Q: = 1, 三 a NIU + +

A: Here Let u = x/a, v = y/b , w = z/c Then dx = a du, dy = b dv, dz = c dw So, Required volume V =…

Q: The area of the region inside the cirde Y = 6 cose and outside the Cardiaid V= 2(1+ Cose) ayo is + 4…

A: Let us consider the curve r=f(θ) The area under the curve is obtained by bounded region is…

Q: Find the volume generated by revolving the area bounded by the parabola x2 = 4y and its latus rectum…

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Q: 2 x +y<1 ldxdy

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Q: A hole is drilled through the center of a ball of radius r, leaving a solid with a hollow…

A: Given  that the center of a ball of radius r;  and  the  height of the cylinder be…

Q: Find the volume of the region defined by the vectors. 7 -2

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Q: Two identical spheres are placed so that one is on top of the other inside a right circular cylinder…

A: topic - volume of cylinder

Q: Find the area of the circular sec- tor having radius 3 ft and 0 = 7.2radians %3D

A: Formula:

Q: Use the Theorem of Pappus to find the exact volume of a general cone created by rotating a triangle…

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Q: Use Simpson's Rule to estimate the centroid of the region shown. yA 4 2 6 8 x 4.

A: The number of subintervals as n=8. Calculate the subintervals ∆x of the region:  ∆x=b-an…

Q: Find the volume of the portion of the solid sphere ps8 that lies between the cones o= and ф %3D 3 3…

A: The portion of the solid sphere ρ≤8 that lies in between the cones ϕ=π3  and  ϕ=2π3