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

Q: Find the area of the region bounded by the parabola y = x 2  ,the tangent line to this parabola at…

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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: The line y = 2x and the parabola y = 16x intersect at x= 4. Find by a double integral, the area…

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Q: Find the area of the reglon bounded by the graphs of the equations. y = -x+ Bx, y = 0

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Q: Find the area of the region bounded by the parabola y=5x^2, the tangent line to the parabola is at…

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Q: area

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Q: Find the area of the region bounded by the parabola y = 2x², the tangent line to this parabola at…

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Q: Find the area bounded by the parabola x²=8y and its latus rectum.

A: To find: The area bounded by the parabola x2=8y and its latus rectum: Concept used: Area under the…

Q: Find between the porabolas the area 2 2.y= X+2 メャ 2.

A: We first sketch the region using a graphing calculator

Q: Find the area of the region bounded by the hyperbola 9x2 – 4y2 = 36 and the line x = 3. %3D

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Q: 2. Find the area of the region enclosed by the parabola y = 2x² and the line y = -x-1

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Q: Consider a triangle of area 2 bounded by the graphs of y = x, y = 0, and x = 2.   Sketch the region?

A: First draw the x and y axes . Label x for x-axis and y for y-axis . Line y=0 passes from the point…

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: The area of the region enclosed by the parabola y = 2 - x? and the line y = -x is :

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Q: If a vertical element is used in finding the area bounded by the parabolas y = x² – 7 and y = 1 –…

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Q: Calculate the area of the smaller region (to the left of the parabola) bounded by (x + 5)²=2y, the…

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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 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 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: Find the area of the region bounded by the hyperbola 9x² – 4y2 = 36 and the line x = 3.

A: Given that the  Hyperbola 9x^2-4y^2=36 Line x=3  To find the area of the region

Q: Find the area of the region bounded by the parabola y = 2x, the tangent line to this parabola at (4,…

A: Definition used -              Equation of a tangent line -                  (y-y1)=f'(x1)(x-x1)…

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: Compute the area contained between the parabolas y and y =4-

A: Given parabolasy=x23y=4-23x2

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: Calculate the area of the smaller region (to the left of the parabola) bounded by (x + 5)2 = 2y, the…

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Q: Find the Area of a Surface of Revolution. y= (x3/6)+(1/2x), 1≤x≤2

A: Given y=f(x)=x36+12x,   1≤x≤2

Q: Calculate the area of the smaller region (to the left of the parabola) bounded by (x + 5)2 = 2y, the…

A: We have to calculate the area of the smaller region bounded by x+52=2y from left sides,and bounded…

Q: Compute the area contained between the parabolas y and y 3 = 4 --x2

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Q: Calculate the area of the smaller region (to the left of the parabola) bounded by (x+5)2=2y, the…

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

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Q: Find in two ways the area bounded by the parabola y=x^2, the y-axis, and the lines y=1, y=4

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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: Calculate the area of the smaller region (to the left of the parabola) bounded by (x + 5)² = 2y, the…

A: The shaded region is our required area

Q: Find the area enclosed by the closed curve obtained by joiningthe ends of the spiralr=5θ, 0 ≤ θ ≤…

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Q: Find the area of the region between the parabolas x=1 +yt and H=x-2x.

A: Area between curves.

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

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Q: Find the area of the region enclosed by parabola y=3-x2 and the line  Y=3-2x

A: We have to find the area of the region enclosed by parabola y=3-x2 and the line y=3-2x. The point of…

Q: Find the area enclosed by the line y = x -1 and the parabola y² = 2.x + 6.

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Q: The area bounded by the parabola x² = 2y, and the line x - y = -4 is 18 square units. %3D

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Q: Find the moment with respect to the y-axis of the area bounded by the parabola x = 9y - y² and y =…

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

A: In the given question, the concept of integration is used to find the area of the common region.…

Q: Find the area bounded by the parabolas (x – 2)² – 9py = 0 and y2 = 9p(x – 2). -

A: We need to find area bounded by two curves.

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: 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: Calculate the area of the region to the left of the parabola x= 2y^2, to the right of y-axis, and…

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Q: Determine the area bounded by the conic sections y = x² – 6² and y = 6² – 2². O 576 O 183 O 281 O…

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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: Use rectangles to estimate the area under the parabola y = x2  from 0 to 1

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