(10,00 Puanlar) 8- Determine the area of the region enclosed by the curves y = 1+ Vz, y=3 – z, x-axis and y-axis in the first quadrant. 1911 b Boş bırak

Q: 9: Find the area of the region enclosed by the curves y x? and x = y about x-axis

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Q: 1) (. B enclosed by the curves Find the exact area of the region y = x² and y=x+ 20. Write your…

A: As per the Bartleby guidelines I am answering only first question. Kindly repost and ask to answer…

Q: 2/ determine the area of the region enclosed between the curves x= 0.sy-3 and y=x-1? ans/ 18

A: Topic- Application of Integration

Q: 4 Find the area of the region bounded by 2x = y² +1 and the y-axis using the horizontal strip.

A: See below attachment.

Q: 4. Find the area of the region bounded by the horizontal strip. y² +1 and the y-axis using

A: Topic = Area

Q: Find the area of the region enclosed by the given curves.  y=2cos(3x), y=2sin(6x), x=0, x=π/6

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Q: 2/ determine the area of the region enclosed between the curves x= and y=x-1? ans/ 18 3/ Find the…

A: Given (2) The given curves are x=12y2-3 and =x-1. (3) The given curves are y=x3 and y=x.

Q: 3) Find the area of the region enclosed by the curves: y =x, and y = 2x – x

A: For the given curves  y = x2 and y = 2x-x2  Area of the region enclosed by the above curves are…

Q: 6.(. Find the area of the region enclosed by the curves y = x² +1 and y = x +3.

A: I am solving this in step 2

Q: 5.a) Find the area of the region enclosed between the curves x= y? and x= 4? (Sketch the region)

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Q: 5- Determine the area of the region enclosed by the curve y-3- V, and the lines y-5- z, x-axis and…

A: We have to determine the area of the region bounded by the curve y=3-x and the line y=5-x, x-axis…

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

A: We have to find the area

Q: Find the area of the region enclosed by the curves y=x2−2 and y=2.

A: Integration is done after calculating the intersection points of both the equations.

Q: Determine the area of the region enclosed by the curves y = 1 + vE, y=3 – z, x-axis and y-axis in…

A: The area is the measure of the amount of space occupied by a plane figure. It is measured in terms…

Q: 8. Detemine the area of the region enclosed by the curve y = x +4 and y = x+4. %3D

A: The given curves y=x2+4 and y=x+4

Q: 3. Find the area of the region bounded by the curves y = 1 (x+1)2/ the x-axis using vertical strip.…

A: Solution :

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

A: Given equations: x=y……1y=1x……2x=3……3

Q: Find the area of the region between the curves 4x + y? = 12 and z = y. Area between curves =

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Q: 4 Find the area of the region bounded by x = 2y²+1 and the y-axis using the horizontal strip.

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Q: 2. Find the area of the region enclosed by the curve =x- 4 and y = x - 2.

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Q: 1/ Find the area of the region enclosed between the curves y= 2x2+10 and y=4x+16 and ,x=-2 and x=5?…

A: As per our guidelines we are supposed to answer only one question. Kindly repost other question as…

Q: 44.a) Find the area of the region enclosed between the curves y=1+x, y=1+4x, and y=3-x (Sketch the…

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Q: 27 Find the area of the region bounded by, b. The curves y=x-5x and y 25-x

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Q: 3) Find the area of the region enclosed by the following curves. y = x² and y = -x² + 8x + 10 %3D

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Q: 6 - Determine the area of the region enclosed by the curves y=3 – VI, y=5 – 1, x-axis and y-axis in…

A: Plot the graph for the given functions.

Q: 5. Sketch the region enclosed by the given curves and find the area bounded by the curves y = Vx –…

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Q: Determine the area of the region enclosed by the curves y=1/x, y=1/x2, and x=9.

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Q: Find the area of the region between the curves y = x| and y = x? – 2. Area between curves =

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Q: 4/Find the area of the region enclosed between the curves y=0, x=TT/4, x= TT/2 ? ans/ 1/2

A: The curves given to us is  y=cos2x,y=0x=π4,x=π2

Q: 3. Find the area of the region enclosed by the two curves y = x² and y = -2x² + 3x.

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Q: 12 Find the area of the region enclosed by the curves y and y = 6 x2 1+ 16

A: Here we have to find the area of the region enclosed by the curves y=12/(1+(x2/16)) and y=6 .

Q: What is the area of the region enclosed by the curves y=e^x, y=x^2-1 and the lines x=-1 and x=1? O…

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

A: Sketch the region and integrate in y variable.

Q: Find the area of the region enclosed by the curves x + y² = 3 and 4x+ y? 0 %3D

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Q: problem in photo attached

A: Given:

Q: 5. Find the area of the region enclosed by y = 4 – x², y = 3x and r-axis.

A:

Q: 4. Using vertical element, find the area bounded by the curve y(4 + x²) = 5 and the upper half of…

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Q: 2. Find the area of the region enclosed by the curves and x, 0 < *< 2. y = y = (x2 + 1)2 4*

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Q: Find the area of the region R enclosed by the curves y = x ^3 and y = x^2

A: Ans;

Q: 2. Determine the area of the region bounded by x = y? – 4 and y = and sketch a graph of the region.

A: We graph the region using a graphing calculator  y=x/3 (red) x=y2-4 (black)

Q: 4- Find Ix and Iy For The Region Bonded by y=x² and y=Vx 5- Find the area of The Cirde x+9=4 From…

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Q: 7) Find the area of the region enclusced by the curves y=x² and

A: Please refer the attached image for complete solution. THANK YOU !

Q: Determine the area of the region enclosed by the curves y = 3 VI, y=5– T, X-axis and y-axis in the…

A: The area between the curves y=3-x and y=5-x on interval 4, 5:The area between curves is the area…

Q: 2) Find the area of the region enclosed between the two curves y = x² and y = -x? + 4х.

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Q: 3)   Sketch the region enclosed by the curves x =y 3 ,  y= sqrt(2-x), and y=0 Find its area

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

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Q: 1. Find the area of the region enclosed by parabola y=x an line y = 2.x.

A: Topic:- area under the curve

Q: 2/ determine the area of the region enclosed between the curves x=: and y=x-1? ans/ 18

A: Given the curves is x=12y2-3 and y=x-1

Q: 1. Sketch the region R between the graphs of y = |r], y = x² – 1. Find the area of the region R.

A:

Q: 2. Find the area of the region between the curve, x = y² + y −6, y- axis and y=0; y = 3.

A: we need to find the area bounded by the 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.