Determine the area bounded by: y2-12y-8x+28=0; and x2-4x+4y-20=0

Q: Determine the area of the region bounded by y = 3x2 and y = x + 2.

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Q: Find the total area bounded by y=x^3-3x+2 and y=x+2.

A: Definite integration is one of the methods that can be used to obtain the area bounded by two…

Q: Find the area of the region. 5ex y = 1 + e2x y 4 3 x = In V3 2 1 -2 -1 2)

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Q: Lnx y = y = xLnx 4.x

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Q: Find the area of the region bounded by y=(x-1)^2 and y+x-3+0

A: We need to find the area bounded by the two curves Lets graph both the equations in a single plane…

Q: Find the area bounded by the equations, y=2sinx, x=3, and y=-1/3x.

A: Given- y=2sinx , x=3 and y=-13x To Find- The area bounded by the above equations, Identity Used-…

Q: Determine the area of the region bounded by y=2x^2+10 and y = 4x+16

A: To find the area of the region bounded by the given curves.

Q: Find the area of the region bounded by y = -x² – 4x – 2 and y = 2x2 + 8x + 7.

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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 area bounded by axes and line 3x+2y=12

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Q: Find the area bounded by y^2 = 2x + 3 and y = x. * y = x 4 3 -2 y? = 2x + 3

A: The equation of the curves are C1: y2 = 2x+3 ⇒ x = y2-32C2: y = x To evaluate: The area bounded by…

Q: Find the area between y=x+2 and y=3x2+x for 1≤x≤2.

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Q: Find the area of the region bounded by y² = 4ax and x² = 4ay.

A: We have to find the area of the region bounded by y2=4ax and x2=4ay.

Q: Sketch the area bounded by x² + 2y = 4 and and determine: x+y+2=0 area using horizontal strip

A: The objective of the question is graph the given region and determine the area bounded by the given…

Q: Find the area of the region bounded by: y y = x + -2 -1 1 -2 y = 2 – x2

A: According to the given graph we will find out the area bounded by the curves            Y=x and…

Q: Find the area of the finite region in the first quadrant bounded above by y=4 and below by y=4x^3

A: Given,

Q: Find the area of the region enclosed by x = y^2 + 2 and x = 2y+6

A: Please refer to the image below.

Q: find the area bounded by y=(1-x²) and y=0

A: Given curves are y=1-x2, y=0 The graph is as follows Here, yellow colored region is the required…

Q: Find the area bounded by the y´ = 8x and y=2x.

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Q: The area of region bounded by the parab y = 2x – 4 is

A: Introduction: Integration is a method of bringing separate parts to form a whole. We find a function…

Q: Find the area bounded by x=2y^2-4y+4 and x=y^2-2y+4.

A: To find the area between the curves x=2y2-4y+4, x=y2-2y+4.

Q: Find the area of the region that is enclosed between y = 11x² – x³ + x and y = x² + 25x. %3D -

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Q: Find the area between the Y=2x-x² and y=-x.

A: Given curves y=2x-x2 and y=-x We have to find the area between the curves.

Q: Find the area between y =x+2 y = -2x+4 y = (2-x)/2

A: equation  at x=0 at y=0 y=x+2 y=2 x=-2 y=-2x+4 y=4 x=2 y=(2-x)/2 y=1 x=2 here we need to…

Q: Determine the area bounded by y=x² and y=2- x2

A: Graph of the given functions helps to find the bounded area. Integration of the functions within…

Q: Determine the area bounded by y = x³ and y = 4x using a vertical element

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Q: Find the area bounded by y = X = 0, y = 0, and x = 3. V49-16x2

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Q: Find the area of the region bounded by y^2 = 8x and y = 2x.

A: y2 =8x -----equation(1)y =2x -----equation(2) Squaring both side equation (2) ,we get y2 =4x2 Now…

Q: Find the area of the region bounded by y=x², y = 3/2 x,x=2.

A: The area is the measure of the amount of space occupied by a closed curve. It is measured in terms…

Q: Find the area of the region bounded by y = 9 – x^2 and y = x^4

A: Let's find area of the region bounded by given two curves.

Q: Start with the area bounded by y = x^2, y=0 and x=2, then rotate around the line x=3

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Q: Determine the area of the region bounded by x = y² – y – 6 and 2y + 4.

A: According to the fundamental theorem of calculus ∫abf(y)dy=F(b)-F(a), where dFdx=f(x). The equation…

Q: Find the area of the region bounded by y = 4x + 4, y = 6x + 6, and a = 4 %3D

A: Given:y=4x+4y=6x+6x=4Formula:Area=∫aby1x-y2x dxA=∫aby1x dx-∫aby2x dx

Q: Find the area bounded by the parabolas x2 – 2y = 0 and x2 + 2y = 8.

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Q: Find the area of the region bounded by = y ; x=2y²_4

A: The given functions are x=y2 and x=2y2-4 To find the area enclosed between the curves.

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

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Q: Find the area of the region bounded by y = 6x-x? y=2x

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Q: determine the area of the region bounded by y=2x^2 + 10 and y=4x + 16

A: Given; y=2x2 +10 y=4x+16

Q: Determine the area of the region bounded by y = 2.r2 + 10 and y = 4x + 16.

A: We sketch the region using a graphing calculator

Q: Find the area of the region bounded by y^2= 8x and y = 2x.

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

A: Here we have to find find the area enclosed by the region 4x2+y=4 ...............(1) and…

Q: Find the area bounded by y^2 = 2x + 3 and y = x. y = x y? = 2x +3

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Q: Determine the area of the region bounded by y 2x + 10and y 4x + 16

A: We are asked to find the area of the region bounded by y=2x2+10   and y=4x+16

Q: Determine the area bounded by y = 4ax, y=2a and x=0 for a = 3 %3D

A: To calculate the area bounded by the curves first obtain the points of intersection. These can be…

Q: Give the area of the region enclosed by y=2- x and y=x²

A: To find the intersection of both graphs, set the equations equal to each other and solve for x

Q: Start with the area bounded by y=x^2 , y=0 and x=2, then rotate around the line y=4.

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Q: Find the area bounded by y = x³ – 3x and y = -4.

A: To find the area bouded by the curves.

Q: Determine the area of the region bounded æ = y2 – y – 6 and a = 2y + 4.

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Q: Determine the area of the region bounded by y = x² and y = 2x + 3.

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Q: Find the area bounded by y= 2x³ and y=x³ + 3x²=4.

A: 2) To find the area bounded by the curve f(x)=2x3  & g(x)=x3+3x2-4. To find the intersection…