Calculate the area of ​​the region enclosed by the parabolas  y=x2 and y=2x−x2.

Q: Find the area of region bounded by the curves y = x² and line y=x.

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Q: Find the area of ​​the region bounded by the y=x3 and y=2x-x2 curves.

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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 curves.  y = 8x2 and y = 1x

A: To find: The area of the region between the curve y=8x2 and y=x. Formula used: The area between the…

Q: Sketch the region enclosed by the curves and find its area.  y=x, y=2x, y=-x+4

A: Calculus Question

Q: Determine the area of the region between the two curves by integrating over .the y-axis X = y2 and x…

A: Area of the region between the two curves x1(y)  and  x2(y) is given by ∫abx1-x2dy    where a≤y≤b

Q: Sketch the region bounded by the curves y = vx + 4 , y=x +2 and evaluate the area.

A: Given Curves are     y = x+4   and    y = x+2  first equation can also be written as  x = y2 -4 now…

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

A: Solution

Q: Find the area bounded by the parabolas y = 6x – x2 and y = x2 – 2x. %3D

A: we have to find area bounded by given parabolas y=6x-x2   and y=x2-2x

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

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Q: Find the area of the region bounded by the curves y= 2² - 3 and y = 2x + 5.

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Q: Find the area of the regions enclosed by the two curves, y =x +3 and y = 4x+8. %3D

A: From the given problem:   y=x2+3 & y=4x+8       Now finding a point of intersection:…

Q: find the area of the region bounded by the curves y=x3 and y = x² between their intersections.

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Q: Find the area of the region between the curves 4x + y^2 = 12 and x =y.

A: 4x+y2=12    and  x=y

Q: rea of the region enclosed by

A: we have to find the area of the region bounded by the curve, y=2-x2 .....(1) and the line y=-x

Q: Find the area of the region bounded by the curves y = x ^ 3 - 12x, y = x ^ 2.

A: y = x ^ 3 - 12x, y = x ^ 2.

Q: Determine the area of the region enclosed by y=sinx and y=cosx, x=π/2 and the y- axis .

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Q: Determine the area bounded by the curves x³ - y = 0 and y + 3x² - 4 = 0, using a vertical element.

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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: Sketch the region bounded by the curves y = vx – 2 , y = x – 4 and evaluate the area

A: Solve by integration

Q: Find the area of the region bounded by the curves y = 1 (x+6)²¹ į, y = = 4 and the x-axis using…

A: Explanation of the answer is as follows

Q: Find the area of the region bounded by the curves: y = 2x and y = x² – 4x

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Q: Sketch the region enclosed by the curves and find its area y = 2 – x² and y = x

A: the given curves are y=2-x2 and y=x. To find: the area of the region bounded by the given  curves.…

Q: 2 y = 12 – 3x", y= 4 – x- — х |

A: Let's find.

Q: Find the area of the region bounded by y = 9x + 8, y = -3x + 4 and x = 14. Leave your %3D answer…

A: Area between curves

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 of the region bounded by the curves 1 y = (x+6)²¹ Y = 4 and the x-axis using vertical…

A: Given

Q: Find the area bounded by the curves x 2 = y − 1 and = y − 3 .

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Q: find the area of the region bounded by the curves 4x - y2 = 0 and y = 2x - 4

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Q: Sketch the region enclosed by the curves y = x2- 4 and y = 3x − 4, and find its area.

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Q: Determine the area of the region bounded by the curves y = ₁, y = 2x and x = 4

A: This is a problem related to integration. Based on the general formula and concept we will answer…

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

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Q: Find the area of the region bounded by the curve  y = 2x2 - x  and the line  y = x + 4  .

A: To find the area of the curve.

Q: Find the area of the region bounded by the curves 1 y=. (x+8)2¹ , y = 4 and the x-axis using…

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Q: Determine the area of ​​the region bounded by the curves y = x3  , x + y = 2 and y = 0

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Q: Sketch the region enclosed by the straight line y = 4x − 4 and the curve y = x2 and find the area of…

A: Given, straight line y=4x-4  and the curve y=x2we have to sketch the region enclosed by given…

Q: Determine the area of the region bounded by y = xvx2 + 1, y = 1 e 2x, x = -3 and the y-axis.

A: First draw the region defined by these curves. If the region is bounded, then use the area under the…

Q: Find the area of the region enclosed by the curves between their intersections. y = 4x2 and y = Vx

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Q: Find the area of the region enclosed by the curves 4x² + y = 4 and x - y = 1.

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Q: Find the area bounded by the indicated curves. y=7-7x2, y 0

A: We have to find out the area enclosed by the curves

Q: Find the area of the region bounded by the curves y = x 2 − 3x + 5 and y = 3x + 5.

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Q: Sketch the region enclosed by the curves y = x2  and y=4x-x2 and find its area.

A: Given: y=x2 and y=4x-x2

Q: Find the area of the region bounded by the three curves y = x², y = 8 - x², and 4x - y + 12 = 0.

A: Given: y=x2y=8−x24x−y+12=0

Q: Find the area of the region bounded by the curves y = 6 – x² and y = x + 4.

A:

Q: Find the area of the region bounded by the given curves. y = 6x2 In(x), y = 24 In(x)

A: Graph them using a graphing calculator. The graphs meet at x=1 and x=2 Blue curve is y=24ln(x) Red…

Q: Find the area of the region bounded by the curves y = 6 – x² and y = x+ 4.

A: intersection  6-x2=x+4x2+x-2=0x2+2x-x-2=0x(x+2)-1(x+2)=0(x+2)(x-1)=0x+2=0 or x-1=0x=-2 or x=1⇒-2≤x≤1

Q: Find the area of the region between the curves 4x + y = 12 and x = y. |3D Area between curves =

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Q: Find the area of the region bounded by the curves 1 y= (x+6)²¹ y = 4 and the x-axis using vertical…

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Q: Find the area bounded by the curves, 2x² + 4x + y =0 and y = 2x.

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Q: Find the area of the region in the first quadrant bounded by the line y = 8x, the line x = 1, the…

A: Intersection Points are:  The line x=1 will intersect the x-axis at (1,0) because y is 0 at…