Find the area of the region bounded by the curves y x2 and y = rVr + 2.

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 three curves y = x^2 , y = 8−x^2 , and 4x−y + 12 = 0.

A:

Q: What is the area of the region enclosed by the curve y=x(x-1) (x-2) and the x-axis?

A: Given:            Curve: y=xx-1x-2             Area =∫01xx-1x-2 dx+-1∫12xx-1x-2 dx…

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.

A:

Q: Determine the area of the region bounded by the curve y = x³ – x² – 2x, and а. the x-axis b. the…

A: Note: As you asked only part (b) so, I answered here only part (b).

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

A:

Q: Find the area of the region bounded by the given curves: y = x² y = 4x – 22

A: Given: y=x2, y=4x-x2 For finding area of region bounded by given curves, we draw graph of both…

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 curve bounded by the curves y=x* and y=3x+4.

A: We have to find th: e area of the curve bounded by the curves y=x4 and y=3x2+4.…

Q: Find the area of the region bounded by the curves y 5x, y 2x-3 in the first quadrant. %3D

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Q: Find the area of the region bounded by x = and the y-axis using the horizontal strip. 2y²+1

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

A:

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 enclosed by the line y=4x and the curve y=x³ + 3x².

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Q: Find the area bounded by the curve y = 4x - x² and and the lines x = 0 and y = 4. %3D Answer:

A: we can find the area between the curve and the lines by integrating the curve function through lines…

Q: Find the area of the region enclosed by the curves x = 4, y = 1, y = Vx – 4.

A: Since you have submitted two questions, we'll answer the first question. For the second question…

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

A:

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

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Q: 2 y = x - 3x, y=x 3r.

A:

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 given curves. 1. y +4x = 0 and x+2=0

A:

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: Find the area of the region enclosed by the line y=4x and the curve y= x3 + 3x2

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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 curves y = 1 (x+1)21 2 y = 4 and

A: Please refer to the image below

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 enclosed by the curves y=x'and y = 4x. (Show clear work!

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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 enclosed by the curves 4x² + y = 4 and x - y = 1.

A:

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.

A:

Q: Find the area of the region bounded by the three curves y = x², y = 8 - x², and 4x - y + 12 = 0.

A: Given: y=x2y=8−x24x−y+12=0

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

A: Given curves are y=xx2+1 and y=x4-x

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 x = =Dy² +2, y y = x-4 and y = 0.

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Q: Find the area of the region enclosed by the curves: y = x' – 2x², y = 2x² – 3x -

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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 enclosed by the curves: y = x' – 2x², y = 2x² – 3x

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Q: Find the area of region enclosed by the two curves y = Vx +1 and y = v2 x

A:

Optimization

Optimization comes from the same root as "optimal". "Optimal" means the highest. When you do the optimization process, that is when you are "making it best" to maximize everything and to achieve optimal results, a set of parameters is the base for the selection of the best element for a given system.

Integration

Integration means to sum the things. In mathematics, it is the branch of Calculus which is used to find the area under the curve. The operation subtraction is the inverse of addition, division is the inverse of multiplication. In the same way, integration and differentiation are inverse operators. Differential equations give a relation between a function and its derivative.

Application of Integration

In mathematics, the process of integration is used to compute complex area related problems. With the application of integration, solving area related problems, whether they are a curve, or a curve between lines, can be done easily.

Volume

In mathematics, we describe the term volume as a quantity that can express the total space that an object occupies at any point in time. Usually, volumes can only be calculated for 3-dimensional objects. By 3-dimensional or 3D objects, we mean objects that have length, breadth, and height (or depth).

Area

Area refers to the amount of space a figure encloses and the number of square units that cover a shape. It is two-dimensional and is measured in square units.