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

Q: Find the area of the region. y = x2 − 3x,  y = 4x

A: First graph the given curves.

Q: area

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Q: Q2) Find the area of the region bounded by the ( yı=v=x ), (y2=x+2) & ( y3=0).

A:

Q: The area of the region bounded by y = x² , and x = y² is: Select one: а. 2 3 O b. 1 1 3

A: Draw the given curve of graph.

Q: Find the area of the region bounded by the parabola  y2=4x and x2=4y

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

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Q: Q2) Find the area of the region bounded by the (y=V4+x ), (y;=2-x) & ( y;=1).

A: Double integral is used to integrate the function of two variable over two-dimensional region.…

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: find the area of the region. 2y = 4/T, y = 4, and 2y + 2r = 6

A:

Q: Find the area of the plane region bounded by y = x°, x = -2 and x = 2. %3D Answer:

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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 y = v9– x² , the x-axis and the line first quadrant is: O 9(n+2)/8…

A: Given: To explain the correct option of the given statement as follos,

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 in the 1 quadrant bounded by y = x2 + 1, y = 1 – x², and x = 1.

A: The given equations of the curve are y=x2+1, y=1-x2 and x=1. Compute the area bounded by the above…

Q: Find the area of the region bounded by y = x', x = y°, and æ + y= 2. = x²,

A: Given: y=x2 ,x=y3 and x+y=2 Graph:

Q: Find the area of the region bounded by y = ex,    y = e3,    x = 0

A:

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

A: The area between any two curves f(x) & g(x) on an interval [a, b] is given by the formula:…

Q: Determine the area of the region bounded by x = y² – y – 6 and a 2y + 4.

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

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Q: Find the area of the region bounded by x = y² and 3y = 2 +x

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Q: Find the area of the region bounded by the curves, x = −6 ,  x = 6 , the x−axis  and the parabola…

A: Follow the procedure given below.

Q: 156. Find the area of the region D, bounded by y = √4x², x= √3, which is the region x=2, and y = 0.

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Q: Find the area of the region enclosed by the graphs of 1 VI- 472' Y =0, x = 0, and x = 4' 1 — 4г?

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Q: (b) Find the area of the region enclosed by x = y² and y = x – 2

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Q: Q2) Find the area of the region bounded by the (y=v-x ), (y2=x+2) & ( y3=0).

A: Take strip along x axis and solve it.

Q: Determine the area of the region bounded by x = y² – y – 6 and 2y + 4.

A: According to the fundamental theorem of calculus ∫abf(y)dy=F(b)-F(a), where dFdx=f(x). The equation…

Q: Find the area of the region bounded by y = (1/8)(-x² + 6x +7) and y = -6. Answer:

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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 area of the region enclosed by the graphs of 1 1 y = %3D V1– 972' 9 = 0, x = 0, and r 6. |

A:

Q: Find the area of the plane region bounded by y = x - 4x and y% x(2-x). Answer

A: As per Bartley guidelines we are supposed to answer only one question per post.  This post contains…

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

A:

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 between the parabolas x=1 +yt and H=x-2x.

A: Area between curves.

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 enclosed by x = y² – 4y + 2 and x = y - 2.

A:

Q: Determine the area of the region bounded by y = 2.r2 + 10 and y = 4x + 16.

A: We sketch the region using a graphing calculator

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

A:

Q: Find the area of the region:  R={ xϵR2 | x=0, y=3x2 , y=4-x2 }.

A: The given region is R=x∈ℝ2| x=0, y=3x2, y=4-x2 The objective is to find the area of the region.…

Q: Find the area of the region under the curve y = 6x? + 4x + 3 from x = -1 to x = 2.

A: integration is the process of finding the anti-derivative function of the given function. The…

Q: Find the area of the region bounded by y = Vx- 5 and x – 3y = 3. O 1 9. O 1

A: We have to find solution

Q: Find the area of the region bounded by the graphs of y = x2, y= x² – 2r +3 and y= 2x- 1.

A: Given curve is y=x2, y=x2−2x+3 and y=2x-1 we have to find the area of the region bounded by the…

Q: Find the area of the region enclosed by y = –x² +6, y = x, y = 5x, and x > 0.

A:

Q: Q5: Find the area of the region R bounded by the carves y = x2 – 1 and y = x -

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Q: Find the area of the region enclosed by t 4x² + y = 4 and x* - y = 1.

A: Here we have to find find the area enclosed by the region 4x2+y=4 ...............(1) and…

Q: Find the area of the region described in the following The region bounded by y = 24 Vx and y = 3x?

A: Given, y=24x & y=3x2 To find limits of x we have, y=24x =3x2⇒24x =3x2⇒8x=x2 Now squaring on the…

Q: Find the area of the region described in the following The region bounded by y = Vx,y = 2x - 15, and…

A: Consider the curves  y=xy=2x−15y=0

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

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Q: Find the exact area of the region bounded by 2y = 4√√x, y = 4, and 2y + 2x = 6

A: Here we have to find the area of the region.

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

A: Our objective is to find the area.

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.