The area of the region bounded by the curves 8x =y° and 8x = 2y+y2 -2y is

Q: Sketch the region bounded by the graphs of the equations y = −x2 + 3x + 1, y = −x + 1 and find the…

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Q: The area of the region bounded by the two curves y = x²and y 25 is Square Units

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Q: Sketch the region bounded by the graphs of the equations f(y) = y2 + 1,        g( y) = 0, y = −1, y…

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

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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 = -6, y = 6, the y – axis and the parabola y² –…

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Q: у%3D 2х — х", у%3D 2х — 4х -

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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: The area of the region enclosed by the curve 4x2+25y²=50 is:

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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: The area of the region bounded by the two curves y = x and y = 64 is Square Units

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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 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 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 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: The area of the region bounded by the two curves y=z' and y 64 is %3D Square Units

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Q: The area of region bounded by the parabola y? = 4x and the line %3D y = 2x – 4 is -

A: We have to find the area of the region bounded by the parabola y2=4x and the line y=2x-4

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

A: Given: y=x2y=4

Q: Find the area of the region between the line y=2x and the curve %3D y =x² +x-2.

A: Given:          y=2x and the curve y=x2+x−2

Q: The area of the region bounded by the z-axis and the curve = ²t - 1, y = 1-t² equals to: [2(1-1²)e²…

A: Solution

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 region bounded by the curve y=x²-2x and y=-x²+4

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Q: 2 y = 12 – 3x", y= 4 – x- — х |

A: Let's find.

Q: Find the area of the region enclosed between the curves defined by the equations y = x² – 2x + 2 and…

A: Solve the following

Q: Sketch the region enclosed by the given curves. y = 3 cos(9x), y = 3 – 3 cos(9x), OSxS1/9

A: Solution is in step 2

Q: Find the area of the region bounded by the curves, y = -6, y = 6, the y – axis and the parabola y2 –…

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Q: Sketch the region bounded by the graphs of the equations f(y)=y / (√16 − y2) , g( y) = 0, y = 3 and…

A: Concept:   The calculus helps in understanding the changes between values that are related by a…

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. у%3D 2х—х2, y = 2x² – 4x

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Q: find the area of the region bounded by the parabola x=y^2+2 and the line y=x-8

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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 of the region enclosed by the curves y = sin x and y= sin 2x for 0sxsn.

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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 region bounded by the curves x= 2y+6 and x y-1.

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Q: Find the area of the region bounded by the curves, y = -6, y = 6,the y – axis and the parabola y² –…

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Q: Find the area of the region bounded by the given curves. y = 2ax, y = 2ал*, а > 0

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

A: NOTE: Refresh your page if you can't see any equations. . given equations are so the first…

Q: The area of the region enclosed by curves is    curves x=2y^2              x=0 , y=3

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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: The area of the region bounded by y = sin(3x), y = 0, x = 0, and x = is 12

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Q: Sketch the region enclosed by the given curves. y = 4 cos(5x), y = 4 – 4 cos(5x), 0sxS a/5

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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: The area of the region bounded by the two curves y = x² and y = 9 is Square Units

A: Draw the both curve than find their intersection points and integrate in that interval.

Q: Find the area of the region bounded by the curves, y = -6, y = 6, the y – axis and the parabola y2 -…

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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.