Find the area of the region bounded by the curves x + y = 0 and x = y² + 3y.

Q: Find the area of the region bounded by the line y=x, x=2 and by the curve y= (1/x2)

A: Area of the region shaded below÷

Q: find the area of the region that is enclosed between the curves y=x2+2x       y=x+2

A: The given curves are y = x2+2x and y = x+2.

Q: Find the area of the region bounded by the curves.  y = x(x2 - 1) and the x-axis

A: Given curves are, y=x(x2-1)and the x-axis y=0 .   First, find the intersection points:…

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 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: Sketch the region bounded by the curves y = vx + 4 , y=x +2 and evaluate the area.

A: Given Curves are     y = x+4   and    y = x+2  first equation can also be written as  x = y2 -4 now…

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 of the region R bounded by y-3-x and coordinate axes.

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Q: The area of the region bounded by the curves y=x and y= 20-x² is

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Q: The area of the region bounded by the curves y =x and y= 20-x² is

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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: find the area of the region bounded by the curves y=x3 and y = x² between their intersections.

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Q: The area of the region bounded by the two curves y = x“ and y = 4 is

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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: Determine the area of the region bounded by the curves y = x4 - x2 and y = x2 - 1

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Q: Find the area bounded by the region y = 2x + 2 and the lines y = 1, y = 2

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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: Find the area of the region bounded by the curves y = 2x^3 − x^2 − 5x and y = −x^2 + 3x.

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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 the region bounded by one loop of the curve x2 y*(1 – y²) %3D

A: The curve is given as , x2=y41-y2 The graph of the curve is

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

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Q: Find the area of the region bounded by the graphs of the equations. y = Vx(1 – x), y = 0

A: we have y = x(1-x) clearly x≥0we find area of the region        y≥0 if 0≤x ≤1and  y≤0 if x≥1…

Q: = Find area of the region bounded by x² + y² = 4², 10y = -6x and 13y 8x where y > 0. Leave your…

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Q: Find the area of the region bounded by the graphs of the equations y = x² and y = vx.

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Q: Find the area of the region bounded by the curves y = -x² – 3x + 4 and y = x2 – 3x – 4.

A: We first sketch the region using a graphing calculator y=-x2-3x+4 (violet) y=x2-3x-4 (black)

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 of the region bounded by the curves y = x2 -4x and x + y = 0.

A: We will use double integration to solve this

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 area of the region bounded by x2 + y2 = 32, 6y = -6x and 20y = 6x where y 2 0. Leave your…

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Q: Find the area of the region bounded by y = x² – x ,x = 2 , and x & y- axes

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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 x = y + 3 and y = x – 1

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Q: Find area of the region bounded by x2 + y2 = 52, 3y = -2x and 20y = 8x where y 2 0. Leave your…

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Q: Find the area of the region bounded by the curves y = x 2 − 3x + 5 and y = 3x + 5.

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Q: Find the area of R - region bounded by the curve y = 1/x2 and the lines y = x and y = x/8 O 1

A: Given: The curve y = 1x2 and the lines y = x and y = x8. To find: The area of the region bounded by…

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 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 bounded by the parabola x = y -y and the line y = x

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Q: Find area of the region bounded by x² + y² = 42, 9y = -10x and 14y 5x where y > 0. Leave your answer…

A: Given: The area of the region bounded by the curves are x2+y2=42, 9y=-10x, 14y=5x where y≥0 To find…

Q: Find the area of the region bounded by the graphs of the equations. y = Vx(4 - x), y = 0

A: Sketch the area of the region bounded by the graphs of the equations y=x4-x and  y=0 as shown below.…

Q: Find the area of the region bounded by a curve y = x^2-3 and y =5-x^2

A: Consider the provided curve, y=x2-3  and y=5-x2 Find the area of the region bounded by a curve.…

Q: Find the area of the region bounded by one loop of the curve x2 y*(1 – y²)

A: Given:          x2=y41-y2         x=±y41-y2         x=y21-y2 The graph is symmetric about the…

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

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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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Q: Find the area of the region bounded by y = 4x + 6, y = -3x +1 and x = 15. Leave your answer correct…

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