Find the area of the region that is enclosed between y = 11x² – x³ + x and y = x² + 25x. %3D -

Q: Find the area of the region bounded above by y AY -x² + 8 and below by y = x². ==

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Q: Find the total area of the region between the curve and the x-axis. y= 2x-x2; 0sxs2

A: Explanation: Given curve is: y=2x-x2 Here x is from 0 to 2 To find the total area between the curve…

Q: Find the area of the region below y=x^2−x+2 and above y=2 for 3≤x≤6.

A: The given curves are y=x2−x+2 and y=2 and the interval is 3≤x≤6 To find the area of the region.

Q: Find the area of the region enclosed by x + y = 2 and x + y = 0

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Q: Find the area of the region between y = 5x“ and y = x- + 6.

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Q: Find the area of the region enclosed by the graphs of x = y2 and y = x - 2

A: Ans: Given curves    x=y2, x=y+2

Q: Find the area of the region between y = x2 and y =  -x2 + 18x.

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Q: Find the area of the region bounded by y² = 4ax and x² = 4ay.

A: We have to find the area of the region bounded by y2=4ax and x2=4ay.

Q: Find the area of the region between y² = x and x = y +2.

A: Given,  y2 = x   and  x = y+2  We have to find the area of region between y2 = x   and  x = y+2

Q: Find the area of the region below y = x² + 2x 4 and above y = 3 for 2 < x < 5. %3D Area

A: Recall:            Area=  ∫abf(x)-g(x)dx  We have, f(x)=x2+2x-4, g(x)=3, a=2, b=5

Q: Find the area of the finite region in the first quadrant bounded above by y=4 and below by y=4x^3

A: Given,

Q: Find the area of the region between x = 2y and x = y3 — y.

A: Given x=2y and x =y3-yThe area between f(x) and g(x) are two continuous functions and  f(x)≥g(x)  on…

Q: Find the area of the shaded region. y =x²+1 y -x 2

A: Since your question has multiple questions we have solved the first question for you.     Consider…

Q: Find the area of the region bounded by y = xInx and the x-axis between x=1 and x = e

A: Using formula of Area Under The Curve.

Q: Find the area of the region between the line y = 2 - x and the x-axis, for 0 < x≤ 4.

A: In this question, the concept of integration is applied. Integration Integration is a method of…

Q: Find the area between the curve y = x3 – 6x2 + 8x and the x-axis.

A: We have to find the area between the curve y=x3-6x2+8x and the x-axis.

Q: Find the area of the region bounded by y = ¾(x + 2), x = 2 and the x-axis.

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Q: Find the area of the region bounded by y^2 = 8x and y = 2x.

A: y2 =8x -----equation(1)y =2x -----equation(2) Squaring both side equation (2) ,we get y2 =4x2 Now…

Q: Find the area of the region enclosed by x=y^2 and y=x-2

A: To find the area of the region enclosed by x=y2 and y=x-2

Q: Determine the area of the region enclosed by y3x^2 and y=x^1/2

A: To find the area of the region enclosed by the given curves.

Q: Find the area bounded by y² = 4a(y-x), y² = 2a(x+2y-3a) and the x-axis

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Q: Find the area of the region bounded by the curve y = 9 - x2 and the x-axis. Answer:

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Q: y y = x 1 y = x V1 – x2

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Q: Calculate the area of the region that lies under thecurve and above the  x-axis. y =2x - x2

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Q: Find the area of the region between y=x^1/2 and y=x^1/3 for 0≤x≤1.

A: the area of the region between y=x^1/2 and y=x^1/3 for 0≤x≤1.

Q: Calculate the area of the region that lies under thecurve and above the  x-axis. y =1- x2

A: The graphical representation of the area is,

Q: Find the area of the region enclosed by x = y3 and x = Vy - 6.

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Q: Find the area of the region bounded by y²-x=0 and y²+x=2₁

A: Find the area of the region bounded by y^-x=0 and y^+x=2

Q: Find the total area of the region between the curve and the x-axis. 9) y = (x + 4)3; 0 <x<3

A: The Area Under a curve The area under the curve between two points can be found by a definite…

Q: Find the area of the region bounded by y O and Y – 8x8 + x°. -

A: First find intersection point of y=0 and y=-8x8+x9 by equating each other  ∴ -8x8+x9=0…

Q: Find the total area of the region between the curve and the x-axis. 7) y = 2x - x2; 0 sx<2

A: Given, The curve  y = 2x-x2   ;  0≤x≤2 We have to find the area of region between the curve and the…

Q: Find the area of the region bounded by = y ; x=2y²_4

A: The given functions are x=y2 and x=2y2-4 To find the area enclosed between the curves.

Q: Find the area of the region that is enclosed between y=7x^2-x^3+x and y=x^2+9x

A: Given First find out the intersection points where the graph of both equations meet Set both…

Q: Find the area of the region bounded by the given y = 4ax, y = 4ax°, a > 0

A: The given curves are  y = 4ax y = 4ax3 Intersection point of both curves 4ax = 4ax3 4ax(x2 - 1) = 0…

Q: Find the area of the region bounded by 12x y=

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Q: Find the area of the region enclosed by the graphs of the functions y = 8 - x², y = 7x, and y = 2x…

A: This question is based on application of Integration.

Q: Find the area of the region enclosed by x = y² – 4y + 2 and x = y - 2.

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Q: Find the area of the region bounded by the graphs of y = x +6x, x = 0, x = 2, and the x-axis.

A: Answer

Q: Find the area of the region bounded by y = 6x-x? y=2x

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Q: Find the area of the region.  y = x2 − 2x,  y = 5x

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Q: Find the area of the region between x = y3 and x = 3y — 2.

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Q: find the area of the region bounded by y=(x+2)^2-1, the x-axis, x=-1, and x=2.

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Q: Find the area of the region bounded by y^2= 8x and y = 2x.

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Q: Find the area of the region between the x-axis and the curve .3 y = x³- 4x - 2 < x<2 ?

A: Let us first plot the graph of y=x3-4x, -2≤x≤2.

Q: Find the area of the region between y2=x and x=y+2

A: The area between curves is the area between a curve fx and a curve gx on an interval a, b given by…

Q: Find the area of the region enclosed by x=y³ and x=√y-6

A: Given: x=y3, x=y-6 For finding areaA of the region enclosed by given curves, we draw graph of both…

Q: Find the area of the region enclosed by y = x² – 2x and y =3.

A: Our objective is to find the area.

Q: What is the area of the region between  y=x^2 -2x-3 and the x-axis from x=0 to 6?

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Q: Find the area of the region enclosed by the graphs of x =y and x 3y

A: This area is enclosed by the two curves,  y = x2  y = 3x  Thus, we can find the area by sketching…

Q: Find the area of the region that is enclosed between y = 9x² – x° + x and y = x² + 16x.

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