Flxyy) de dy is an integral orer what region?

Q: The volume generated when the region bounded by y = x, y = 1, x = 0 is rotated about x axis is -

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Q: Sketch the region enclosed by the curves and find its area. 1 y = 2 VI – 49x2 NOTE: Enter the exact…

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Q: Evaluate SII xdv, where Dis the region bounded by x-yz-0, X=0, 2•0, and yol. y=x+2 (back)

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

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Q: Find the volume of the region bounded by √x and y=x rotated about x = -4.

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Q: Find the volume of the solid generated by revolvi around x = 5 the region bounded by y = x² and y =…

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Q: Sketch the region enclosed by the given curves. y = 2/x, y = 8x, y = x > 0 y y 6F 5- 5- 4 4. 3 2 1 1…

A: Given equations: y=2x. . . . . (1)y=8x . . . . . (2)y=18x . . . (3)x>0 Explanation: First we…

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: By using double inpegrals, Find Ihe area the enclosed by of region b) cur ve x:- yo, Line e) curve…

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Q: Sketch the region enclosed by y = 4x and y find the area of the region. = 6x. Decide whether to…

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Q: thui2 Evatuatekhe ltowing changing theminte equivalent Palar integrals: 2. 4ー I+ Vx?+yz

A: we have to find the double integral using polar coordinates.

Q: Sketch the region whose area is represented by the integral Só Suz dxdy.

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Q: 1. y = a2, y = Va, = x2, y = Vr. on the interval 0.25, 1]

A: The objective is to find the area enclosed between two curves.

Q: Find the volume V of the region appearing between the two sur

A: Given, the two surface                  z=x2+y2  and z=200-x2-y2

Q: Sketch the region enclosed by y = 2x and y = 3x. Decide whether to integrate with respect to r or y.…

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Q: Sketch the region enclosed by the given curves. y = 3/x, y = 12x, 1. y = -X, 3 x >0 y y 8- 6. 6. 4 4…

A: Given curves: y=3x, y=12x, y=x3 Andx>0

Q: Find the volume of the region enclosed by the cylinder x2 + y2 = 4 and the planes z = 0 and y + z =…

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Q: . Determine the volume generated by rotating the area bounded y = x? and y = 1 about the line y = 2.

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Q: Find the volume of the region = {(x, y, 2) : æ² + y² – 3 < z< V9 – a² – y²} E - -

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Q: Find the volume V under the the plane z = 8x + 6y over the region R = (x, y) : 0 ≤ x ≤ 1, 0 ≤ y ≤…

A: We have to find the volume under the plane z=8x+6y over the region R=x,y:0≤x≤1,0≤y≤2x2 (a) Draw the…

Q: Sketch the region enclosed by y = 4x and y 2x²!. Decide whether to integrate with respect to xlor y,…

A: In this question we have to find area of the region.

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

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Q: Sketch the region enclosed by the given curves andfind its area. y = ex , y =xex ,x = 0

A: Concept: The calculus helps in understanding the changes between values that are related by a…

Q: Find the Volume bounded by the Cone) Z:y and Z=3

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Q: Set up triple integrals for the volume of the sphere r = 2 in(a) spherical, (b) cylindrical, and (c)…

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Q: Find the volume of the region E 3 = {(x, y, z) : æ² + y? – 3 < z < v 9 – x² – y² } - - -

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Q: Sketch the bounded region enclosed by y = ex, y = e* and x = 1. Decide whether to integrate with…

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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: Calculate the volume of a bounded solid. 3) a? + 3? + 2? = 4 ,a² + y? = 2? Draw the region over…

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Q: Sketch the region enclosed by x + y² = 42 and r + y = 0. Decide whether to integrate with respect to…

A: Given curve is: x+y2=42 Line is: x+y=0 The region enclosed by these two is shown in the figure…

Q: Sketch the region enclosed by the given curves. y = 4/x, у %3D 16х, y = -х, 16 y y 10- 10- 8 8 6. 6.…

A: Given:

Q: Find the volume of the solid region bounded in the first octant by the plane. z =1- 8x - 2y Need…

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Q: Calculate the area of the region R bounded by the astroid x=acos3t, y=asin3t, 0≤t≤2π.

A: Given information: Concept used:

Q: 2 x +y<1 ldxdy

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Q: Find the volume of the region bounded by planes z = 0, y= 0, I = 0 and surface 2r+u+z= 2K + 2

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Q: Find 6dA over the region R = {(x, y) | 0 < x < 3,0 < volume of a solid

A: In this question we will use basic of calculus i.e concept of application of integration. We will…

Q: Convert pola integral to cartesion integral then Sketch the region S Sisimo cosodrde -6

A: Note: You have posted multiple questions we have solved the first question for you, if there is a…

Q: 5. Use a triple integral to find the volume Of the gNen solid The terrahcdron enclosed by the…

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Q: Sketch the region bounded by lines x= 0, y=0, x=16, and curve y=Vx . Then find the enclosed area of…

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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 centroid of the region bounded by the graphs of y = x and x + y = 506. %3D NOTE: Enter the…

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

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Q: Sketch the region enclosed by y = 4x and y= 6x². Decide whether to integrate with respect to x or y.…

A: Given query is to find area under the curve.

Q: Sketch the region enclosed by y=3xy=3x and y=2x^2y=2x^2. Decide whether to integrate with respect to…

A: Sketch the region enclosed by y=3x and y=2x^2. Decide whether to integrate with respect to x or y.…

Q: Write three double integrals (dA = dydx, dA = dxdy and dA = rdrd0) to %3D %3D represent the area of…

A: Given Area of the region is

Q: Find the volume of a region bounded by the xy plane (z = 0) and z = 9 – x² – y². [Hint: in spherical…

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Q: 4 4-x dydx + dydx

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Q: Find the volume of the region that is bounded by the spheres x2 + y? + z2 = 1, x2 + y? + z2 = 36 and…

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