Sketch the region bounded by the curves x = Vy + 3 , x =y+1 and evaluate the area

Q: Sketch the region enclosed by the curves and find its area. 1 y = 9x² ,y = 9Vã,x = - and x = 1 %3D…

A: since you have posted multiple question in this question so i have solved first question as per our…

Q: Sketch the region enclosed by the curves and find its area. y = x, y=3x, y= -x + 2 AREA =

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Q: Sketch the region enclose by the curves and compute its area as an integral along thex- or y-axis. x…

A: We graph the region using a graphing calculator. The bounded area is shaded. We will use the y axis…

Q: Sketch the region enclosed by the curves and find its area.  y=x, y=2x, y=-x+4

A: Calculus Question

Q: Sketch the region enclosed by the curves and find its area. y = 7x ,y = 7Vx, x = - and x = 1 Enter…

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Q: Sketch the region enclose by the curves and compute its area as an integral along thex- or y-axis. y…

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Q: Find the area of the region R bounded by y-3-x and coordinate axes.

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Q: Sketch the region enclosed by the curves and find its area. y = 7x2 .y = 7 Vx,x = 1 and x = Enter…

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Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y…

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Q: Sketch the region bounded by the curves x = Vy+ 8 , x = y – 4 and evaluate the area.

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Q: Calculate the area of the region bounded by y= Vx+1 and y = x – 2x – 3. %3D

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Q: Find the area of the region bounded by the curves 1 y = (x+6)²¹ Y = 4 and the x-axis using vertical…

A: Given problem is :

Q: Sketch the region bounded by the given curves, then find its area. y = 12 - 3x^2, y = 4 - x^2

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Q: Find the area of the region bounded by the curve y = x2 and the line y = x + 2

A: We have to find the area

Q: Sketch the region bounded by the given curves, then find its area. y = 2x - x^2, y = 2x^2 - 4x

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Q: Sketch the region enclose by the curves and compute its area as an integral along thex- or y-axis. y…

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Q: Sketch the region bounded by the curves y = /x and y = x/3 and find the area of the region.

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Q: Find the area of regions bounded by the curves y = x 3 , y = x .

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Q: Sketch the region bounded by the curves y = vx – 2 , y = x – 4 and evaluate the area

A: Solve by integration

Q: Sketch the region enclosed by the curves and find its area y = 2 – x² and y = x

A: the given curves are y=2-x2 and y=x. To find: the area of the region bounded by the given  curves.…

Q: Determine the area of the region bounded by y = xe¯x² , y = x + 1,x = 1, and the y-axis. %3D

A: Given  y=xe-x2y=x+1x=1x=0  i.e. y axis

Q: 16. y= Vx, y= %3D

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Q: sketch the region bounded by the follownghe cuoves and find the Volome geneoated by Bevolning the…

A: Step 1: The given area is bounded by the lines, The area bounded by the lines y = x, x + y = 4 and…

Q: Sketch the region enclosed by the curves and compute its area as an integral along the x- or y-axis:…

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Q: Sketch the region enclosed by the curves and find its area. y = x, y = 3x, y = -x + 4

A: Given; y=x, y=3x, y=-x+4   Now find the point of intersection between the line y=-x+4 & y=3x.…

Q: Sketch the region enclosed by the curves and find its area. y = x, y= 4x, y= -x + 4 AREA

A: Topic:- application of integration

Q: Compute the area of the region bounded by the curves y = x and y = V (Round your answer to 3 decimal…

A: Find area between the two regions using properties definite integrals

Q: Sketch the region enclosed by the curves and find its area. y = x, y = 2x, y= -x + 4 AREA =

A: The region is bounded by y=x, y=2x, y=-x+4

Q: Sketch the region enclosed by the curves/lines x = y, y =1/x, x = 3 and find its area.

A: given,         x=yy=1/xx=3

Q: Sketch the region bounded by the graphs of y= 1 divided by x7 , y=0 , x=2 , x=5. Then compute the…

A: area bounded by   curve...

Q: Sketch the region enclosed by the given curves and find its area. x = y4,  y = square root of (2 -…

A: We first sketch the region using a graphing calculator

Q: Compute the area of the region bounded by the curves y = Vx and y = x

A: ANSWER:

Q: Find the area of the the Curves bounded region x +y=O by X+y² =2

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Q: Find the area R -region bounded by the curve y=1/x^2 and the lines y=x and y=x/8.

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Q: Sketch the region enclose by the curves and compute its area as an integral along thex- or y-axis. y…

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Q: Sketch the region enclosed by the given curves. Decide whether to integrate with respect to x or y…

A: Let's find area enclosed by given  curves.

Q: | = x – 2 and y =

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Q: Find the area of the region bounded by the curves x = y + 3 and y = x – 1

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Q: Find the area of the region bounded by the given curves. y = 9x In(x), y = 36 In(x) %3D

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Q: Sketch and find the area of the region bounded by the curve y=x2 on interval [-3,0].

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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: Sketch an area bouneded by the parabola y = x´ and the line y = x + 2. Using an iterated ntegral,…

A: We are asked to find the area of the region bounded by the parabola ana the line.

Q: Find the area bounded by the given curve and lines. y = x3,y = 8, and x = 0 %3D

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Q: y = 0, y = 2, y = 2 – (x + 2)´, y = 2 – x -

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Q: Find the area of the region bounded by a curve y = x^2-3 and y =5-x^2

A: Consider the provided curve, y=x2-3  and y=5-x2 Find the area of the region bounded by a curve.…

Q: +4

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Q: Find the area bounded by the curve x = ý +2y and the line x = 3.Use horizontal strip.

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Q: Sketch the region enclosed by the curves and find its area. y = x, y = 5x, y = -x +4 AREA =

A: Given that     y = x , y = 5x , y = -x+4 .

Q: 38. y= |x|, Y = + 3 2

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Q: Sketch the region bounded by the given curves, then find its area. y = x2 - 3x, y = x

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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.