First transformation: Dilate about the origin (x,y) --> (kx, ky)

Q: Find the centroid of the region bounded by y^2 =4ax, y=mx about y-axis.

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Q: coplanar.

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Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y.…

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Q: obtain 2- transform for the flow ing xCt) = tCt- 2T)

A: We have to use z transform table.

Q: Compressible flow is flow of gases

A: compressible flow is flow of gases

Q: 2. Region bounded by y= x, x=0 and y=15, rotated about the y-axis

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Q: ntegrate f(x, y, z) = x over the region in the first octant (x 2 0, y 2 0, z 2 0) above z = y² and…

A: Given that:fx, y, z=xThe region is in the first octant x≥0, y≥0, z≥0It is above z=y2 and below…

Q: Integrate f(x,y) = x +y over the triangular region with vertices (0,0), (7,0), and (0,7). The value…

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Q: volume of the solid generated when the region bounded by y = 9 − x 2 and y = 2x + 6 is revolved…

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Q: Area bounded by y² x = -1 = x and x – y – 2 = 0, revolve about | %3D

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Q: Find the area of a triangle bounded by lines y=2x and x=1 by a.) single integration b.) double…

A: Given: - The lines are, y=2x and x=1  To find: - The area of a triangle bounded by given lines. (a)…

Q: Find the centroid of the region lying underneath the graph of the function f(x) = (x² + 64) over [0,…

A: Find the centroid of the region lying under the graph of fx=x2+64-12 over 0, 7. Formula: The…

Q: Find the area and centroid bounded by x=y^2+4y, x=0. Graph

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Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y.…

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Q: Sketch the region bounded by the given curves, then find the centroid of its area. y = 12 - 3x², y =…

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Q: Integrate f(x,y) = x² + y² over the triangular region with vertices (0,0), (1,0), and (0,1). The…

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Q: Region bounded by: y = x+1, y = -x + 4, x = 0 Rotate about: y-axis %3D

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Q: 3. Region bounded by Y = rotated about the x-axis ,x=0 and y=15,

A: By shell method

Q: Evalual e bounded by the the area se mie 1| ipse =2-メ 4 the lines メ= +|

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Q: Determine the x-and y-coordinates of the centroid of the shaded area. 9" 6" y 3" ブ →

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Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y.…

A: Given, y=2x+1y=12-x2x=-1x=2 graph for the given problem is :

Q: Find the area of the region bounded by the graphs of the equations. y = x - x', x = 0, x = 1, y = 0…

A: We need to find the area bounded by the curves is : Area=∬Rdydx

Q: Sketch the region of integration and change the order of integration.

A: Given data:   The expression for the given integral is ∫02∫x24f(x,y)dydx.   The expression for the…

Q: Find the abscissa of the centroid of the region between the parabola y = 9-x^2 and the line y = 1-4x…

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Q: Integrate f(x,y) = x +y over the triangular region with vertices (0,0), (3,0), and (0,3). The value…

A: I take strip parallel to y axis in the region of integration

Q: The area of the region is bounded by the x-axis, the curve y = 6x – x2, the line x – 1 = 0 and the…

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Q: determine the distance from the y-axis of the centroid of the area bounded by the curve y=x^3, the…

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Q: Please help. *Find fzxy; f(x,y,z) = x⁵y⁸z⁴+y⁴z. *The partial derivative of z = sin(7x³y+8xy²) is;

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Q: State the area of the region, determined by the lines, y = 13z, y = 2z + 2, y = 13z – 4, y = 2x + 7…

A: we will use transformation and jacobian here.

Q: Find the area and centroid bounded by y^2 =-x; x=-2; x=-4. Graph.

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Q: The area of the region completely bounded by the curve y = 2 17 the x-axis, and the line containing…

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Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y.…

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Q: 3. Region bounded by y = x2, x=0 and y=15, rotated about the x-axis %3D

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Q: B region y=2x-2, y=2x-4, y=-x+2 and y=-x+4 lines bounded by the region SL. (2x – y)²dA integral with…

A: Given, the region B is the parallelogram bounded by the lines          y=2x-2, y=2x-4, y=-x+2 and…

Q: Find the volume of the solid generated by revolving the region about the given line. The region…

A: Here we can use method of rings to find the required volume. In this method volume of revolution of…

Q: Find the area and centroid bounded by y^2=-x, x^2+3y+4x+6=0. Graph

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Q: State the area of the region, determined by the lines, y = 71, y = 3x + 2, y = 7x – 3, y = 3x + 8…

A: Given lines are                 y=7x, y=3x+2, y=7x-3, y=3x+8 State the area of the region with…

Q: The region bounded by the curve y=x²-2 and the lines y=-2 and x=2 is rotated about the line y=-2.…

A: The two curves are y=x2-2  &  y=-2 & x=-2

Q: 1. Region bounded by y= x, x=0 and y=15, rotated about the x-axis

A: Volume of solid revolve around y axis

Q: Find the centroid of the region  y=4-x^2 and the x-axis

A: The objective is to find the centroid of the region 1. y=4-x2 and the x-axis.

Q: Q1,- A- Locate the centroid (X only) of the shaded area y=12-3x Fig.L.A

A: X= My/M  Y= Mx/M  X,Y are coordinate of centroid.

Q: State the area of the region, determined by the lines, y = 6zr, y = 3x + 2, y = 6x – 11, y = 3x + 9…

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Q: Use the Chain Rule to evaluate the partial derivative oh at the point (q, r) = (1,2), where h(u, v)…

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Q: Find the centroid of the region lying underneath the graph of the function f(x) = 23x' over the…

A: Centroid bounded by the region

Q: ntegral. In tegvation method

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Q: coplanar

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Q: Find the area of the region bounded by y=x, y=-x2+3x, x=1, x=3. Make sure to sketch the curves and…

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Q: Regian bounded by y-x and y=X+2

A: Since you have posted multiple question in this question which are not interlinked so i have solved…

Q: Use Ring Method Rotate the region bounded by y = x2 – 2x + 4 and y = x + 14 about the x – axis.

A: The given curves are y=x2-2x+4 , y=x+14 and x -axis To find: the volume the region bounded by the…