Calculate the area of the region bounded by the graphs of the given equations x - 1= 2y2, x = y + 4 Can you go thought the details like how you get the bounded area before you do the integretion . and i 125 know the ansywer is 24

Q: What is the area of the region bounded by y^2 = x and y = x^3?

A: Given curve is : y2=xy=x3 To find the area of the region bounded by the curve.

Q: Find the area bounded by y = 9 - x2 and y = x + 3

A: plot this function:                             x 0 9 -3 0 3 0 plot:

Q: Find the area of the region bounded by the x and y axes. the line x = 2. Show your complete…

A: Using double integral in Cartesian coordinates.

Q: Find the area of the region bounded by the graphs of the equations. y = Vx -1, y = 2, y = 0 , x = 0…

A: We have to find the of the  region bounded by the given equations.

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Q: Find the area of the region bounded by the graphs of y = x2 – 6 and y – 3 = 0. %3D

A: Given: Two curves y=x2-6 and y-3=0

Q: Sketch the region bounded by the graphs of the equations (include representative rectangle) f (y) =…

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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|dx................(1) here we have fx=3xex2 the upper and lower limit…

Q: What is the area of the region bounded by the parabola y = x2 - x - 6 and the line y = -4. Round…

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Q: Find the area in the first quadrant bounded by the curves y = x/2, y = 4x and y x2 You need to draw…

A: The graph of the bounded region(shaded region) in the first quadrant is given below.

Q: Find the area of the region bounded by the graphs of the equations. Use a graphing utility to verify…

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Q: Sketch the region bounded by the graph of the equations and find the area of the region. 1 y = , y =…

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Q: Find the area of the region bounded by y=x^2 and y=15-2x

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Q: Sketch the region in the xy-plane defined by the inequalities x - 5y2 > 0, 2 – x – 9\y| > 0 and find…

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Q: Sketch the region bounded by the graph of the equations and find the area of the region. x = y² -…

A: Solution

Q: Find the area of the region enclosed by the graphs of 1 V1 – 4x²* y = 0, x = 0, and x = 4° NOTE:…

A: I am solving it in step 2

Q: Determine the area of the region in the first quadrant bounded by y = 2x, y = - x + 1, and the…

A: The graph is shown below:

Q: What is the area of the region bounded by the parabola y = x2 - x - 6 and the line y = -4. Round…

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Q: Find the area of the region bounded by the graphs of the equations. y = 7x2 + 3, x 0, x = 2, y = 0…

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Q: The region bounded by 2x = y and x+2= y². %3D

A: given2x=y2x+2=y2let us calculate intersection point of these two curves2x=x+2x=2when…

Q: Find the area of the region. Use a graphing utility to verify your result.

A: Evaluate: ∫07xx+13dx

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: Sketch the region between y=(1x−3) and the x-axis over the interval [−2,5]. Find the area of the…

A: Given,         y = 1x-3 and the interval [-2,5] we need to sketch the region between y=(1x−3) and…

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: Find the area of the region between the graphs of the equations = x and y = 2 – x.

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Q: Find the area of the region bounded by y = x³ - 8 the x-axis and the y axis. 1/3 3 1/9 9

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Q: Find the area of the region. Use a graphing utility to verify your result.

A: ∫19x x-13 dx Consider, ∫x x-13 dx Put, x-1=t⇒1-0=dtdx⇒dx=dt Therefore, ∫x x-13 dx=∫t+1 t3 dt…

Q: Find the area of the region enclosed by the graphs of 1 y = V1- 9x2" y = 0, x = 0, and x = NOTE:…

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Q: area of the curve: x=y^2+8 ;x

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

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

A: Our objective is to find total area of the region bounded by y=2x,the x-axis,and the lines x=2 and…

Q: Use the rectangles in each graph to approximate the area of the region bounded by y = 5/x, y = 0, x…

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Q: Find the area bounded by y = x2 -2 and y = 2 %3D

A: The diagrammatic representation of the area is,

Q: Find the area of the region bounded by the graphs of y = (square root (x)) and y = x/2. Leave the…

A: Find the area of the region bounded by the graphs of y=x and y =x2

Q: Find the area of the region bounded by y = x³ - 8 the x-axis and the y axis.

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Q: Sketch the region bounded by the graphs of the equations f(x) = 10 / x ,         x = 0, y = 2, y =…

A: Sketch the region bounded by the curves y=10x,  x=0,  y=2   and  y=10 as shown below.

Q: Find the area of the region bounded by y= 2-lxl and x-axis. 4 sq units 8 sq units 6 sq units 10 sq…

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Q: Find the area of the region bounded by the graphs of y2 = 5 – x and y2 = 4x.   Please put a…

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Q: Find the area of the region bounded by the graphs of the equations. Use a graphing utility to verify…

A: Given function, y=e-2x+ 2 , y=0, x=0 and x=2we have to find the area of the region bounded by the…

Q: 5. Find the area of the region enclosed by y = 4 – x², y = 3x and r-axis.

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Q: Find the area of the region described. The region bounded by y = /x, y = 2x- 15 and y = 0

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Q: Find the area of the region bounded by the graphs of the equations. 3 y = 7 + Vx, X = 0, х %3D 8, у…

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Q: Find the area of the region in the first quadrant bounded by the line y=5​x, the line x=5​, the…

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Q: 6. у? - бу %3D - х Y2 – 2y = x %3D

A: To find the area between the curves

Q: Find the area of the region. Use a graphing utility to verify your result. √3x · V√x+1 y 50 40 30…

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Q: Find the area of the region enclosed by the graphs of 1 1 V1 – 9x2' 5, y = 0, x = 0, and x = 6 NOTE:…

A: “Since you have asked multiple question, we will solve the first question for you. If youwant any…

Q: .Find the area bounded by x=y² – 2y and the y-axis. Draw the figur

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Q: Find the area of the region bounded by the graph of y=x^2 -3x -4 and the -axis. y + 2 3 1 -4 -5- 4o-…

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Q: Determine the area of the shaded region bounded by y = - x + 4x and y =x- 2x. The area of the region…

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Q: find the area between x=3y and x=y^2-4

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