B\\ Find the area of the region enclosed by the parabola y = x? – 2 and the line y = 2x + 1.

Q: Find the area of the region bounded by the parabola y² = 2x - 2 and the line y = x - 5. 16 17 18 19…

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Q: Find the area of the region bounded by the curves, y = –6, y = 6, the y – axis and the parabola y2 –…

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Q: Sketch the region bounded by the graphs of the equations y = −x2 + 3x + 1, y = −x + 1 and find the…

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Q: Find the area of the region bounded by the three curves y = x^2 , y = 8−x^2 , and 4x−y + 12 = 0.

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

A: The objective of the question is determine the area between given line and parabola.

Q: Find the area of the region bounded by the parabola  y2=4x and x2=4y

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Q: The area of the region bounded by the curves y = I' and y = 2x is %3D 1/3

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

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Q: Find the area of the region bounded by the three curves y =x², y = 8 – x², and y = 4x + 12.

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Q: Find the area of the region bounded by the three curves y = x², x = y³, and x + y = 2.

A: It is given that, y3=x ⇒y=x13let, y=f1(x)=x13y=x2let, y=f2(x)=x2x+y=2⇒y=2-xlet, y=f3(x)=2-x   Area…

Q: The area of the region bounded by the two curves y = x“ and y = 4 is

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Q: Find the area of the region enclosed by the parabolas y x? and y = 2x – x². -

A: The area between any two curves f(x) & g(x) on an interval [a, b] is given by the formula:…

Q: The area of the region bounded by the two curves y=z' and y 64 is %3D Square Units

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Q: The area of region bounded by the parabola y? = 4x and the line %3D y = 2x – 4 is -

A: We have to find the area of the region bounded by the parabola y2=4x and the line y=2x-4

Q: Sketch the region enclosed by the given curves andfind its area.   x = 2y2    ,x = 4 + y 2

A: Given curves are x=2y2 and x=4+y2 Will find the intersection points of the given curves. We will…

Q: Find the area of the region bounded by the line y=(1/2)x and the parabola y? = 8-x.

A: Area between curves

Q: || 2. Find the area of the region enclosed by the curves x = 2y² – y + 1 and x y² + y + 4.

A: The area between two curves is given by: Where a and b are intersection points of the curves f and…

Q: Find the area of the region between the line y=2x and the curve %3D y =x² +x-2.

A: Given:          y=2x and the curve y=x2+x−2

Q: Find the area of the region enclosed by the line y=4x and the curve y=x³ + 3x².

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Q: The area of region bounded by the parabola y2 = 4x and the line %3D y = 2x – 4 is

A: We have to find the area of the region bounded by the parabola y2=4x and the line y=2x-4 .

Q: Find the area of the region bounded by the hyperbola 25x² – 4y² = 100 and the line x = 3.

A: We have to find the area of the region bounded by the hyperbola 25x^2-4y^2=100 and x=3  Please see…

Q: Find the area of the region enclosed by the curves x + y: = 0 and x + 2y = 1.

A: Let's find.

Q: Find the area of the region bounded by the parabola y^2=x+3 and the line x - y = -1

A: Given: Parabola: y2=x+3 and line : x-y=-1 To find : Area of the region bounded by the given parabola…

Q: Find area of the region enclosed by the parabola y = 3x – x and the line y = x.

A: Find the solution below

Q: What is the area of ​​the region between the parabola y=x^2-1 and the line y+2x=2?

A: The solution is given below in the next step:

Q: Find the area of the region enclosed by the line x = 2y and the curve x = y3 - y?

A: To calculate the area of the region bounded by the curves x=fy and x=gy, use the formula…

Q: Find the area bounded by the parabolas y = 6x - x2 and y x- 2x. (Round answer to three decimal…

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Q: 4) Calculate the area of the domain bounded by the parabola y = x², the hyperbola y = and the line y…

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Q: Find the area bounded by the curve 5y^2 = 16x and the curve y = 8x – 24.

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Q: Find the area lying between the parabola y = 4x – x² and the line y = x -

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Q: find the area of the region bounded by the parabola x=y^2+2 and the line y=x-8

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Q: Find the area of the region enclosed by the parabola y = 2 - x2 and the line y = -x.

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Q: What is the area of the region enclosed by the curve y=e^x and the lines x=-1 and y=3?

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Q: Find the area of the region bounded by given curves. 1. y +4x = 0 and x+2=0

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Q: Find the area of the region enclosed by the line y=4x and the curve y= x3 + 3x2

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Q: Find the area lying between the parabola y=4x - x^2 and the line y = x.

A: The given curves are y=4x-x2 and y=x. To find the area between the curves we will firstly plot these…

Q: Find the area of the region bounded by the curves y – 2x – 1 = 0 and y – x? – 4 = 0.

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Q: Find the area of the region bounded by the parabola x = 4y – y? and the line x = 2y – 3. %3D

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Q: Find the area of region bounded by the curves x= 2y+6 and x y-1.

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Q: The area of the region bounded by the curves y = 4x? 3 22 and the lines æ = 1 and x = 5 and y is

A: Here is the solution of the given problem

Q: Find the area of the region bounded by the curve y?=4x and the lines x = 1 and x = 4.

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Q: Find the area of the region bounded by the curves y² - 4x = 5 and 4x + 3y = −1

A: We can find the area of the region between the two curves using the double integration method. We…

Q: Sketch the region bounded by the graphs of the equations f(y) = y2,           g(y) = y + 2  and find…

A: Consider the provided equations,  fy=y2   and   gy=y+2 Sketch the region bounded by the graphs of…

Q: Find the area of the region bounded by the parabola x = y -y and the line y = x

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Q: Find the area of the region enclosed by the line y = 2x + 4 and the parabola y = 4 - x2 in the…

A: The diagrammatic representation of the area is,

Q: Find the area of the region bounded by the graphs of the given equations. y= 3x+4, y=x?

A: Given, y =3x+4  and  y = x2  We have to area of region bounded by graphs of the y =3x+4 and y = x2

Q: Find the area of the region bounded by the parabolas x = y²,y = 2/x and the line y = x.

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Q: Find the area of region enclosed by the two curves y = Vx +1 and y = v2 x

A: