.Find the area bounded by x=y² – 2y and the y-axis. Draw the figur

Q: Find the area bounded by the following curves.  x = 1/2, x = 1, y = 0, y = √ 1-x2/x

A: Given: The curves are

Q: Determine the area that is bounded by the graphs of the following equations. y = 4x, y = x3 %3D

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Q: Find the area bounded by the following curves and lines: 4y = x^2 - 2ln(x), y=0, x=1, and x=4

A: SOLUTION-

Q: Find the area of the region bounded by y = x and y = x O 1/2 O 1/6 O 1/3 O None of these

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Q: Find the area of the region bounded by the following: x = 4 + 2y – y?, x + 2y = 4, x + y = 0 |

A: The area bounded by the curves can be calculated using integration. The integration will be…

Q: 2.) Find the area bounded by the curves y? = 4ax and x? = 4ay %3D

A: The given question has been solved in detail.

Q: Find the area of the region enclosed by x = y and x = 1.

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Q: Find the Area bounded by the curves y? = x and x = 2y – y².

A: Draw the graphs of the given curves and mark the intersection area.

Q: Find the area bounded by the given curves and lines. 1 (2–æ)³ x = -2 х — о

A: The given curves are: y2=1(2-x)3x=-2x=0

Q: Find the area of the region bounded by the following y = x+1, y = 9 – x², x = -1 and x = 2.

A: Explanation of the answer is as follows

Q: Find the area bounded by the given curves.

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Q: 5. Find the area bounded by the lines y = X = è áñd x = 2è.

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Q: Find the area bounded by the given curves and lines. y? (2-a) x = -2 | x = 0

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Q: Find the area bounded by y = (1 ²)² and y = 0.

A: y=(1-x2)2 and y=0

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: O Find the area of the region that lies inside the first curve and outside the econd curve.

A: We have to find the area of the region that lies inside the curve r=-2sin(θ) and outside the curve…

Q: Find the area enclosed by x – y = 0 and 5x – y = 4

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Q: Find the area between the graphs of y = x and y = (x – 2)- | O 9/2 O 4 O -9/2 O 1

A: Given: y=x and y=x-22 Now find the point of intersection between the given curve and line. y=x ;…

Q: Find the area between y = x^2 + 4, x = 1 and y = 0.

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Q: 3. Calculate the area enclosed by the graphs of y = e* and y = x², the y-axis and the line x =1

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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: 7. Find the area bounded by the curve y = x? +x + 4, the x-axis and the ordinates x = 1 and x = 3.

A: Given; y=x^2+x+4

Q: Find the area between y=x+3 and y=x^2+1

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Q: 5. Find the area between x = y + 1, y = Vx and x = 0.

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Q: Find the area bounded by the given curves, axes and/or lines. 1. y? + x – 4y = 5; y-axis %3D

A: Note: As per our company guidelines we are supposed to answer the first question only. Kindly ask…

Q: y = x², y = 0, x = 1, and x = √5

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Q: B) Find the area bounded by y = 2x²+10, y = 4x +16, x = -3 and x = 6.

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Q: FIND THE AREA BOUNDED BY THE WRVE ay THE x-AXIS AND THE UNE X- 2a.

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Q: Find the area of the region bounded by y=−x3 + 3 , y = x , x = −1 , and x = 1

A: The region of whose area is to be calculated is noted from the following graph:   The region is the…

Q: Find the area enclosed by the given curves. y = x3, y = 4x O 4 O 2 8 O 16

A: topic - area enclosed by curves

Q: Determine the area to the left of g (y) = 3 – y and to the right of x = -1.

A: It is given that x=3-y2 so y=3-x therefore the graph is parabolic as shown in the figure and the…

Q: Compute for the area between z = ±1.43.

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Q: Find the area bounded by y =e*, x=0, y = 0, and x= 2.

A: topic - area bounded by 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: Find the area bounded by the following curves and lines. y=(x^2+1)/(x+1) and x+3y=7

A: Given  Region is bounded by the curve y=x2+1x+1      and  x+3y = 7 now  find the  intersection point…

Q: Find the area bounded by y? = x3, y=2x

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Q: Find the area bounded by the given curves. y = x2 − 5 and y = 4 − 8x2 _____________ square units

A: Given curves y=x2-5 and y=4-8x2. The objective is to find the area bounded by the curves.

Q: Find the area bounded by the curve c²y=x³, the x – axis, and the line x =2c.

A: We find the area bounded by the curve using the integration. Before finding the area, first, we will…

Q: y= x+2 and y = x -x

A: As per the company guidelines we can solve first question. I hope that the given solution will help…

Q: Find the area contained by the curve y x(x – 1)(x + 1) and the x – axis.

A: Graph of the function y=x(x-1)(x+1) will be as following

Q: B. Find the area bounded by y = x2 – 2x – 3 and y = x + 1. | -

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Q: Find the area bounded by y(x + 2) = 1, x = 0, y = 0, and x = 4.

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Q: Find the area bounded by y = x2 and y = x+2.

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Q: 3. xy = a², y = 0, x = a, x = 2a.

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Q: 2. Find the area bounded by the line x – 2y + 10 = 0, the x- axis, the y – axis and x 10.

A: The red line is x=10 and the blue line is given line i.e. x-2y+10-0 Given x-2y+10=0This can be…

Q: Determine the area that is bounded by the graphs of the following equations y = 4x, y = x3

A: Our Aim is to determine the area bounded by the graphs of the equations:-y=4x and y=x3

Q: Find the area bounded by the line y = x+2 and parabola y = x².

A: We can solve this as follows:

Q: Find the area bounded by the following curves. y = 9- x2, y = 0, x = - 1, x = 2

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Q: 4ay = x2, and y = x + 3a

A: