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

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

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

A: Given two equations are x = y2 - yx = y- y2 By solving two equations we got the points (0,0) and…

Q: The area bounded by the curve y 4x and the lines r = 6 ,x = 10 and a axis is

A: As per guildlines we can solve one question at a time. If you want answer of all please ask them…

Q: Find the area bounded by the curve y=4x-x² and the lines x=-2 and y=4.

A: See below

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

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Q: Find the equation of the vertical line that divides the area of the region R bounded by 1 y = 20x2…

A: Identify the limits of integration from the given region, to calculate the area of the region. Here,…

Q: The area of the region bounded by y = v9-x² , the x-axis and the line y3x in the first quadrant is:

A: The area of the region is calculated by the double integration, and to solve double integration we…

Q: Find the area of the region bounded by the curve  y=2x2-3x+2  x axis and vertical lines x=0 and x =…

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Q: Find the area between the curves (x^2)-(y^2)=9 and the line y=2x-6

A: Recall: Area between two curves:          A=∫abf(x)-g(x) dx           OrA= ∫abUpper function-(Lower…

Q: The area bounded by the curve y = x,y% = 2x and y = 4 is revolved about the line x =-2 Determine the…

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Q: Find the area of the region bounded by the graphs of the equations. y = 8 + Vx, x = 0, x = 8, y = 0

A: Let's plot the graph : consider a vertical rectangle. So limits : y → 0 to (8 + x3 )x→ 0 to 8

Q: Solve by integration: Find the centroid of the region bounded by y=x3+3 and the lines x=0 and y=0.…

A: given functions are                                              y=x3+3x=0y=0…

Q: Find the of the region bounded by the parabolas y – 6x = -x² and y + 2x = x² , area

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Q: Calculate the total area of the region described. Do not count area beneath the x-axis as negative.…

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Q: Find the area of the region bounded by the curve y = x^3 + 3x and the lines x = −2, x = 2 and the…

A: Topic = Application of integration

Q: Find the area between the curve y = 4 – x² and the line y = -x + 2.

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Q: Find the area of the region bounded by the graphs of the equations. y = 7 + Vx, x = 0, x = 8, y = 0

A: Given problem is :

Q: Find the area of the region bounded by the graphs of the equations. y = 4 + Vx, x = 0, x = 8, y = 0

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Q: FIND THE AREA BOUNDED BY THE PARABOLA x = 8+2y-y², THE Y-AXIS, AND THE LINES y = -) AND y = 3

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Q: Solve by integration and please show graph: Find the centroid of the region bounded by the x-axis…

A: Given a curve y=-16+10x-x2 we need to find its find its bounds by equating y to zero. Thus we have…

Q: Calculate the total area of the region described. Do not count area beneath the x-axis as negative.…

A: the area is given by A=∫ab|fx-gx|dx here we have fx=7x g(x)=0 a=0, b=16

Q: Find the area of region bounded by the graphs of the equations. 1. y = 5x² + 2, x = 0, x = 2, y = 0

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Q: Find the centroid of the region bounded by the graphs of y = x and x+ y = 506. NOTE: Enter the exact…

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Q: What is the area of the region enclosed by the curve y=x^2 and the lines y=x+6, x=0 and x=5?

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Q: y = 4 – x2 y = 4 – 4x - -5-

A: Definition used -             The area between two curves f(x) and g(x) -…

Q: Find the centroid of the region bounded by the graphs of y = x² and x + y = 506. NOTE: Enter the…

A: Centroid of the region y=f(x) and y=g(x) on [a,b] :            x¯ = 1A ∫ab xfx-gx dx  and   y¯ =…

Q: What is the area of the region bounded by the parabola y^2 = 2x and the line x-y-4 = 0? *

A: See the details solution in below

Q: Determine the area bounded by the curve y = 2x - x^2 + 5 and the line joining the points (3,2) and…

A: Please see the explanation below

Q: Find the area between the curves. x = -2, x = 1, y = 2x2 + 5, y = 0

A: Given, x=-2,x=1,y=2x2+5,y=0

Q: Find the area between the curves -4x + y = 16 and -2x2 = -y+ 10.

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Q: Find the area between the curves. x = -5, x=2, y = 3x, y = x² - 4

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Q: For the pink region bounded by a parabola with vertex at (-1, 11 ) and the green line, solve for: a.…

A: The given equation of the parabola is y=-a(x-h)2+k, with vertex -1,11. ⇒y=-a(x+1)2+11 Given two…

Q: Find the area between the curve y = 9 − (x/2)^2 and the line y = 6 − x.

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Q: Find the area on the first quadrant bounded by the curve y = 2Vx and the lines y = 1,x = 4 and the…

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Q: Find the enclosed area by the curve with equation y=x^2-9 and x-axis in the region[-1,2]

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Q: There is a line through the origin that divides the region bounded by y = x − x^2 and the x-axis…

A: Area between curves

Q: Find the area between the curves. x = - 2 , x = 1 , y = 3x , y = x 2 - 4.

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Q: find the area between the two curvesx=2-y^2x=y^4

A: Given thatx = 2-y2         ...(1)x = y4            ...(2)

Q: Determine the ordinate of the centroid of the area bounded by the curve x^2 =8y and the line 2x-y=0

A: Given curves are x2=8y and 2x−y=0. We have to find the ordinate of the centroid of the area bounded…

Q: Find the area of the region bounded by the graphs of the equations. 3 y = 2 + Vx, x = 0, x = 8, y =…

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Q: Find the area of the region bounded by the graphs of the equations. y = 9 + Vx, x = 0, x = 8, y = 0

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Q: How far from the x-axis and y-axis is the centroid of the area bounded by the curve y2 = 8x, the…

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Q: Find the area of the region in the first quadrant that is enclosed by the curves x=y, y=x-, and the…

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Q: Sketch the region bounded by y =x² and x =y ( x 2 0) about the x-axis. %3D

A: Solve the following

Q: Find the area of the region bounded by the parabola y = -x² + 4x - 3 and | its tangent lines at the…

A: We have to find the area of the region.

Q: Find the area and centroid bounded by y= 6-x-x^2, x-axis. Graph

A: The area bounded by the given curve y=6-x-x2 ay the x-axis , that is y=0, is:

Q: Find the area of the region bounded by the line y = 2x – 5 and the parabola y = x² – 4x. - -

A: Graph of enclosed region -

Q: Find the area of the region bounded by the curve y=1--x2 and the x-axis. 9

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Q: The region is bounded by the curve y = 4x – x², y = 4 and the y-axis.

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Q: Find the centroid of the region bounded by the graphs of y = x2 and y = 4. NOTE: Enter the exact…

A: Find the centroid of the region bounded by the graphs of          y=x2 and y=4