Find the ordinate of the centroid of the region bounded by the parabola y = -x2 and the line x = 2y + 2 in the third quadrant. Express your answer in 4 decimal places. Include the sign if negative.

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

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Q: 5. Locate the coordinates of the centroid of the first quadrant area bounded by the parabolas y = 4…

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: Find the area of the “triangular” region in the xy-plane that is bounded on the right by the…

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Q: Find the centroid of the region bounded by the graphs y = x2 and y = 5x + 6. NOTE: Enter the exact…

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Q: Find the centroid of the area bounded by the parabolas x2=2y and x2-2x+2y=5.

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Q: Find the area and centroid bounded by y^2 =12-3x and y=3x. Graph

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Q: Find the centroid of the region with the indicated boundaries: The parabola y² = 4x, the Y-axis,…

A: We use the formula  x=MyM=∫abxfx-gxdx∫abfx-gxdxy=MxM=∫ab12fx2-gx2dx∫abfx-gxdx Now, fx=4, gx=4x, a=0,…

Q: The area bounded by the parabolas (x − 2)^2 − 9py=0 and y^2=9p(x−2) is to be revolved around x = 2.…

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Q: Find the centroid of the region with the curves y=x^3 and y=4x in the first quadrant

A: Refer to the figure shown below:

Q: Find the centroid (, y) of the region bounded by: y = 6x2 +9x, y 0, a = 0, and x = 1.

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Q: Find the centroid of the region bounded by the x-axis, the curve y = csc x, and the lines x = pai/6,…

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Q: Find the centroid of the region bounded by the curves. y=1-x2, y=0

A: We Use the Given Curves Find the Centroid. Firstly We Find Required Area and After we find X and Y…

Q: Find the centroid of the region in the first quadrant bounded by the given curves. y = x7,    x =…

A: Given, y = x7,    x = y7

Q: parabola

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Q: Find the area of the region bounded by the hyperbola 9x2 – 4y2 = 36 and the line x = 3. %3D

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Q: The area of the region enclosed by the curve 4x2+25y²=50 is:

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Q: Q2) Find the centroid of the region in the first quadrant bounded by the x-axis, the parabola y = 2x…

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Q: Find the centroid of the region bounded by the curve y=x³ and y=4x in the first quadrant.

A: Formula to find the centroid helps to find the required centroid bounded by the given curves.…

Q: Find the centroid of the region bounded by y = 9 − x^2 and y = 0

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Q: Find the centroid of the region bounded by the graphs y = x² and y = 5x + 14. %3D %3D NOTE: Enter…

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Q: Find the centroid of the region in the first quadrant bounded by the x-axis, the parabola y2 = 2x,…

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Q: Find the area of the region bounded by the hyperbola 9x² – 4y2 = 36 and the line x = 3.

A: Given that the  Hyperbola 9x^2-4y^2=36 Line x=3  To find the area of the region

Q: Find the centroid of the region cut from the first quadrant by the circle x2 + y2 = a2.

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Q: Find the centroid of the area of the region bounded by the curves y 2x+1; x+y=D7 and x 8?

A: given, curves y=2x+1 , x+y=7 and x=8 claim- find the centroid of the area of the region bounded by…

Q: find the ordinate of the centroid of the region bounded by the parabola y = x^2 and the line y = 2x…

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Q: Determine the centroid of the first-quadrant region bounded by the parabola y = 4 – x²

A: Given; parabola y=4-x^2

Q: Find the centroid of the area bounded by the parabolas x = y2 and x2 = -8y

A: The given problem is to find the centroid of the area bounded by the given parabolas. Given…

Q: Find the centroid of the area under y = 4 – x^2 in the first quadrant.

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Q: find the parabolas x= y2,y= 255¢ and the ine area Of the region bounded by the

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Q: Find the centroid of the region in the first quadrant that is bounded above by the lines y = 2x and…

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Q: Find the centroid of the region in the first quadrant bounded by the given curves. y = x*, x = yA

A: Given curves, y=x4x=y4 The formula for the centroid of the region bounded by the curves f(x) and…

Q: Find the centroid of the region bounded by y=x² and y=3.

A: Solution:Given    y=x2  and =3To find centroid of the region bounded by the…

Q: Find the centroid of the region lying between the graphs of the functions y = 256x¬ and y = 32 – x…

A: The functions are f(x)=256x-1 and g(x)=32-x over the interval 16,32. Consider ρ=1. First find the…

Q: Find the centroid (ã, g) of the region bounded by: y = 9x? + 6x, y = 0, x = 0, and z = 9

A: Re

Q: Find the centroid of the region cut from the first quadrant by the circle x +y =

A: Given x2 + y2 = 81 y=81-x2 Area of Quadrant(A) = πr24                              A  = 81π4

Q: Find the centroid of the region bounded by the parabola y=x? and the line y=4.

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Q: Given the curve y=2x^0.5 and line x =y. Find the area bounded and the  distance from the x axis to…

A: Given the curve y=2x^0.5 and line x =y. To find: Find the area bounded and the  distance from the x…

Q: Locate the Centroid of the area bounded by the x-axis, the line x=4, and the parabola y2 = x.

A: We have to find the centroid of the area bounded by curve.

Q: Find the centroid of the region cut from the first quadrant by the circle x +y = 1.

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Q: Find the centroid of the region bounded by the graphs y=6– x² and у %33 — 2х.

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Q: Find the centroid of the region bounded by the graphs of the inequalities

A: Given information: y≤14x2          ...(1)x-42+y2≤16              ...(2)y≥0                ...(3)

Q: Find the centroid of the region bounded by x=y? and x= 9

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Q: Find the centroid of the region bounded by the parabola y=x2 and the line y=4.

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Q: Find the centroid of the region bounded by the graphs y = x² and y = x + 42. %3D NOTE: Enter the…

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Q: Find the centroid of the region bounded by the graphs y = x2 and y = 5x + 14. NOTE: Enter the exact…

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Q: Find the centroid of the region bounded by the graphs y = x² and y 5x + 14. NOTE: Enter the exact…

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Q: 2

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Q: Find the centroid of the region bounded by the curves: 7 = fh + x

A: Consider the region bounded by the curves as x+y=2, x=y2, x=0. Substitute the value of  x=y2 in the…

Q: Find the centroid of the region bounded by y? 8x and y? 16(x-4).

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