Find the approximately area of the region bounded by the curves y and y = x* – x.

Q: Find the Area bounded by the curves y² = x and x = 2y – y². %3D

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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 a region bounded by the curves y=x3, y= 2ex , x=0, and x=1

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Q: Find the area of the region bounded by the curves: a) y=2x and y = 8 from x =-2 to x=2

A: You have posted multiple questions. As per the instruction, we will be answering only the first…

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: Find the area of the region bounded by the curves 1 y y = 4 and the x-axis using vertical strip.…

A: The given curves are y=1x+82 and y=4.

Q: Find the area of the region bounded by the curve y=1- and the x- axis.

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Q: Sketch the region bounded by the curves x = Vy + 3 , x =y+1 and evaluate the area

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Q: Consider the area of the region bounded by the curves y = 2x +1; x+ y = 7 andx 8. Find y.

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

Q: Find the area of the region bounded by y = ex and y = 12 − ex and the y-axis.

A: Given, y=exy=12-ex and the y-axis   Find the area bounded by the region:

Q: Find the area bounded by the curves y = 3 Vx +1 and y = + 1. %3D

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Q: Find the area bounded by the curve y = x 2 and y = 2 − x 2

A: To find area bounded by the curves y=x2 and y=2-x2.

Q: find the area of the region enclosed by the curves y = 3x, y = -3 and y = 4 – x using integration.

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Q: y2 = 4 – x and y² + y = x + 2

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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 bounded by the curves y = x ^ 3 - 12x, y = x ^ 2.

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

Q: find the area of a region bounded by the curves y= x^3, y= x ln(x^2), x=1 and x=2

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Q: Find the area of the region bounded by the curves y=xy=x  and y=x2y=x2

A: First I have draw the diagram for given curves, then find the area between them. Area between curves…

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 problem is :

Q: Find the area of the region bounded by the curves y = the x-axis using vertical strip. (x+1)2 y = 4…

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Q: Find the area of the region between the curves y=x^3, y=-x, and y=1

A: Area=14 sq.units

Q: a. Find the area of the region bounded by the curve y = x³ and the line y = 4x. ovis for

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Q: Sketch the region bounded by the curves y = /x and y = x/3 and find the area of the region.

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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 = 2x and y = x² – 4x

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Q: Find the area of a region bounded above by the curve y =r' and below by y = 0 over the interval (0,…

A: The region is bounded above by the curve y=x3 and below by the curve y=0. Since the region is over…

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

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Q: Find the area of the region between the curves y = x and y = x². Area between curves =

A: It is given that,  y1=x and y2=x2 Therefore,                    x2=x⇒x2-x=0⇒x(x-1)=0 ∴  x=0,1…

Q: Find the area of the region bounded by the curves 1 y = y = 4 and the x-axis using vertical strip.…

A: We have to solve given problems:

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 line y=4x and the curve y= x+ 3x.

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Q: What is the area of the region enclosed by the curve y=e^x and the lines x=-1 and y=3?

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Q: Find the area of the region bounded by given curves. 1. y +4x = 0 and x+2=0

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Q: Find the area bounded by the curves, y = 2x –x² and y=x-2.

A: Here we have to find the area bounded by the curves, y=2x-x2 and y=x-2 .

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

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Q: Find the area of the region bounded by the given curves. y= x2, y = 4x - x2

A: The given curves are,   y= x2,  y = 4x - x2

Q: Find the area of the region bounded by the given curves. y = x², y = 4x – x² - ly=x²

A: We have to find area of bounded region.

Q: Find the area of the region between the curves x 2y and x + y = 1. Area between curves =

A: Given curves are x = 2y2  and x + y = 1 Here we have to find the area between the curves.

Q: Find the area of the region enclosed by the curves y=x'and y = 4x. (Show clear work!

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Q: Find the area of the region between the curves y=x(2−x) and y=2 from x=0 to x=2

A: To find the area between the curves

Q: Find the area of the region bounded by the curves y=−3x, y=√x  and y=6

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

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Q: Find the area of the region bounded by the curves y = e", y = e¯, x = -2, and x = 1.

A: y=ex, y=e-x, x=-2 and x=1. The graph is,

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

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Q: Find the area of the region between the curves  y= x2 − 4 and y= 2 − x.

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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 y = x² and y = x. Area between curves =

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

Q: Sketch the region enclosed by the curves and find its area. y = |x – 2|, x – 5y + 10 = 0

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Q: A. Find the area of the region between the curves y = x and y = v4 -x.

A: Area of integration problem....

Q: Find the area of the region bounded by the curves y = x2 – 12, from below; y= 20 – x2 from above.

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