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

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

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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 y = e* y² = 4x - 4 between y = 1 and y = 2. and

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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: The area of the region bounded by the curves y = I' and y = 2x is %3D 1/3

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Q: Find the area of the region bounded by the three curves y =x², y = 8 – x², and y = 4x + 12.

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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: y2 = 4 – x and y² + y = x + 2

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Q: Find the area of the region bounded by the three curves y = x², x = y³, and x + y = 2.

A: It is given that, y3=x ⇒y=x13let, y=f1(x)=x13y=x2let, y=f2(x)=x2x+y=2⇒y=2-xlet, y=f3(x)=2-x   Area…

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 the region between the curves y = x² +9 and y interval [-1,3]. = 10 + 2x over the

A: Given that:                      y=x2+9y=10+2xBetween [-1, 3]   NOTE: As per our answering…

Q: Find the area of the region bounded by the curve y=x^2−1 and the line y=15.

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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 curve y = x2 and the line y = x + 2

A: We have to find the area

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 curve y2-4r and the lines x = 1 and x = 4.

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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 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 y = e", y = x e", and x = 0.

A: Given curves are y=ex, y=xex Point of intersection of the curves are evaluated as follows.…

Q: Find the area of the region bounded by the curve y=x^3-3x^2+3 and the x-axis.

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Q: Find the area of the region enclosed by curves x=4y^2 ,x=0, and y =2

A: we have to find area of the region

Q: Find the area of the region bounded by the curve y2=4x and the lines x = 1 and x = 4.

A: The given curve is y2=4x and lines x=2 and x=4. From the given information,

Q: The area of the region bounded by the two curves y = x² and y =4 is

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Q: . Find the area of the region bounded by the two curves y = x3 + 3x2 + 2x and y = 2x? +4x.

A: As per Bartleby guidelines rule I am answering only first question because the second question is…

Q: 4.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 between the curves y |Jx and y x2-2 | Area between curves

A: Given,

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: Find the area of the region enclosed by the curves x=9y², x = 0, and y = 1.

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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 bounded by the two curves. y = x2 + 3 y = 7x + 3

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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 x = y + 3 and y = x – 1

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Q: find  the area of the  region bounded by the  curves y²=4px and x²=4py

A: To find the area.

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 the region bounded by the curves y² - 4x = 5 and 4x + 3y = −1

A: We can find the area of the region between the two curves using the double integration method. We…

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

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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.

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 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: 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 between the curves y=x and y=x^3 on the interval [-1, 1]

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