1. Find the area of the region bounded by the parabola x = 3 + 2y – y? and the line 2x + 3y = 6.

Q: Find the area bounded by the following curve and line: y=4/x , y²-4y+2x=5 and the line y=4

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Q: area

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

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Q: 7. Find the area bounded by the parabolas x² - 4y = = using vertical strip. 0 0 and x² + 2y and x² +…

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Q: Find the area of the region bounded by the parabola y² = 2x2 and the line y = x - 5. 16 17 18 19…

A: Given: y2=2x-2 and y=x-5 Now find the point of intersection between the given curves. y2=2x-2 ;…

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: 3. Find the area of the region bounded by the parabola y? = 2x – x and the line y = x – 5 by taking…

A: We have equation of parabola  y2=2x-xy2=x                                                     ……(1)…

Q: Find the area bounded by the given curve: 16x² +9y² − 64x + 18y-71 = 0 and x² + y² − 4x − 4y+4=0

A: Given the curves, C1:16x2+9y2-64x+18y-71=0C2:x2+y2-4x-4y+4=0. Rewriting, we get…

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

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Q: 9. Find in two ways the area bounded by the parabola y = x², the y-axis, and the lines y = 1, y= 4.

A: Given,  The parabola y = x2  We have to find the area bounded by the parabola, y-axis and the lines…

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: 1. Find the area bounded by the parabolas y= 4x and y'+12x = 36

A: Topic:- application of integration

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

A: Let the graph of the area of the region bounded by the hyperbola 9x2-4y2=36  and the line x = 3 is,

Q: d) Find the volume of the solid formed when the area bounded by the curve y = 3x – x? and the lines…

A: The volume of the solid generated by the revolution of the area bounded by the curve y=f(x), x-axis…

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: (2) Determine the intersection points of y=-x² +9 and y = 5. Then find the area bounded by this…

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Q: Find the area of the region bounded by the given curves.  y=x^2-4x, y=3x+8

A: Let the curves be: The area between curves f(x) and g(x) on an interval [a,b] is given by: Where,…

Q: Find the area of the region bounded by the curves, x = −6 ,  x = 6 , the x−axis  and the parabola…

A: Follow the procedure given below.

Q: y = x³ + 2x? – 8x, y = x³ + 5x? -

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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 bounded by the graphs of the given equations.   y = 3x + 18 , y = x 2.

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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: B) Find the area of the region enclosed by the Parabola y = 2 – x2 and the line y + x = 0 ?

A: The region is bounded by y=2-x2 and y+x=0

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 of the region bounded by the parabola y = 2x2, the tangent line to the parabola at (3,…

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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 f(x) = 16-x^2 and the lines  x=0 and x = 4 and…

A: Givenf(x) = 16-x2lines x=0, x=4 and x-axis(y=20)

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: 17 - Calculate the area of the region between the y = x^2 – 3x parabola and the y = 3x line. O A) 36…

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

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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 parabola y = x2, the tangent line to the parabola at the…

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

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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: Sketch the region bounded by the graphs of y%3= 1 and y=D4-3x, then find its area.

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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: Find the area of the region bounded by the given curves. y = 2ax, y = 2ал*, а > 0

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

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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 bounded by the parabolas x = y²,y = 2/x and the line y = x.

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Q: Find the area of the region enclosed by the curve y=x2-2 and by the line y BO 2. y=x²-2 y=2 Co

A: The equation of the curve is:                                            y=x2-2  The equation of the…