Find the area bounded by the given curves. y = x4 and y = x7

Q: Q4: Find the area bounded by: e) y = 2* , y= x² + 4x and - 4< x< 0.

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Q: Find the area between the graph of f(x) = 10V and the x-axis on the interval [1, 4]. Write the exact…

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Q: - A. Find the area enclosed by y = 5x – x² and y = x. Solve and Draw. 1

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Q: Find the area of the region enclosed by the graphs of: y? = 15 – x and x = 6. %3D

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Q: Find the area bounded by the given curves and lines. 1 (2–æ)³ x = -2 х — о

A: The given curves are: y2=1(2-x)3x=-2x=0

Q: 2) Find the area bounded by the curve y=x² + x + 4, the x-axis and the lines x = 1 and x = 3. (Draw…

A: Given information: The curve given is y=x2+x+4, x-axis and the lines x=1 and x=3. The area of our…

Q: 1. Find the area of the region enclosed by the equations below. y = x² – 2x and y = x

A: Given function :

Q: termine the area that is bounded by the graphs of the following equations. y = 36x, y = x3

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Q: 8. Find the area enclosed by the line y=x-1 and y' = 2x+6.

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Q: Find the area bounded by the given curves and lines. y? (2-a) x = -2 | x = 0

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Q: find area for given data  z less then 0.1653

A: From the provided information, The area is z &lt; 0.1653 that is P (z &lt; 0.1653)

Q: Sketch the graphs, shade the bounded region and find the area bounded by the given expressions. y=…

A: first take any value of x then find the value of y for x then plot it  Given curve is: y=x The…

Q: Find the area under the curve y = x3 + 3x2 andthe x-axis between x = 1, and x = 3.

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Q: Find the area of the given region using any method. y 1 49 - x² y

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Q: Find the area enclosed between y = x and x = 2 − y 2

A: Given, y=x and x=2-y2 We have y=x and x=2-y2⇒y=2-y2⇒y2+y-2=0 By solving the above equation, we get,…

Q: Find the area of the region enclosed by the graphs of 1 0, and x = 10 1 y = 0, x 1 — 25л2 NOTE:…

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Q: Find the area enclosed by x – y = 0 and 5x – y = 4

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Q: Find the area between y = x^2 + 4, x = 1 and y = 0.

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Q: 1. the bop of y? = x * (3 - x)

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Q: Find the area bounded by y = x+ 4 and y = x2 - 2. Answer:

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Q: Find the area bounded by the curve y = x² and the x-axis and the ordinates x = 1 and x = 3

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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: Find the area between two curves. x = y? 2- x = 9 0- + + + 10x 2 -2- 4 6 8 4.

A: The objective is to find the area between two curves.

Q: Find the area, take the elements of the area perpendicular to the x-axis. x²-y+1=0; x-y+1=0.

A: Given, x²-y+1=0 I.e, x= sqrt(y-1)----- equation 1 x-y+1=0 I.e, x= y-1 ----equation 2

Q: Find the area bounded by y = x + 4 and y = x2 - 2.

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Q: Find the area of the given region.

A: Integration is used to find the area under a curve. So, on integrating the function y=x-x2 from x=0…

Q: Find the area bounded by y= (11 - x)1/2, the lines 3x = 2 and x = 10, and the X-axis. 19.456 sq.…

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Q: Find the area betwen the following curves.  x = -3, x = 1, y = x3 + 8, and y = 0.

A: Answer and explanation is given below

Q: 4) Given the trapezoid shown, express the area in terms of x. - x+1 r+5

A: We have to find the area of trapezoid in term of x.

Q: Find the area enclosed by the given curves y= x?,y = x 2 + 6, x = -2, and x = + 2 32 16 4 O00O

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Q: Find the area bounded by the following curves and lines. y=(x^2+1)/(x+1) and x+3y=7

A: Given  Region is bounded by the curve y=x2+1x+1      and  x+3y = 7 now  find the  intersection point…

Q: Find the area of the given region. y = 1/x2

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Q: c) Find the area between: y = 2x + 3 and y = -x² + 10x – 9 %3D

A: We first sketch the region using a graphing calculator The functions intersect at x=2 and x=6

Q: Find the area bounded by y? = x3, y=2x

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Q: enclosed by Find the area X = 2y² and x = 8 the сикише

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Q: Find the area bounded by the given curves. y = x2 − 1 and y = 8 − 8x2        square units

A: Given :

Q: Find the area of the region bounded above by y = x + 6, bounded below by y = x2, and bounded on the…

A: Area of the region

Q: y= x+2 and y = x -x

A: As per the company guidelines we can solve first question. I hope that the given solution will help…

Q: Find the area of the given region. y = x − x2

A: The given region is the colored portion of the following graph: Lower limit of x value is 0 and the…

Q: Find the area enclosed by the line x=y and the parabola 4.x+y² =12

A: Given that, The line x=y and the Parabola 4x+y2=12   We have to find Area between the Curves   As we…

Q: b) Find the area bounded by the – axis, y = x and y = 2 – x.

A: Area bounded by the curves

Q: Find the area bounded by y = 2 - x squared and y = x

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Q: Find the area enclosed by {x=t3/2+t+6 & y=-t2+5t-4} and the x-axis

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Q: Find the area of the region. f(x) = 25 – x? y 30 25 20 15 10 5 -10 10

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Q: Q: Find the area bounded by y=7- 2x2 and y = x2 + 4

A: .

Q: Find the area bounded by the given curves. y = 3x2 and y = 27

A: The given curves are y = 3x2 and y = 27.

Q: 4ay = x2, and y = x + 3a

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

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Q: 12) Find the area of the region in the first quadrant bounded by y = x and y= x

A: Given query is to find the area of region bounded by given curves.

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.