Find the area of the region enclased by y and y2. Find the area of the reglon between the curve yS6 and the axis &

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

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Q: area

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Q: Sketch the region bounded by the curves 4x2 + y = 28 and x* – y = 4, then find the area of the…

A: Area between curves

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 enclosed between the curve x½ + y½ = aand the coordinate axes.

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Q: 5 y X a %|

A: The  given curves are , x=y415 , x=y17 is, The curves are : x-y415=0  , x-y17=0x=y15415        ,…

Q: Find the area of the region between the curves y = |2| and y = 1² - 2. %3D %3D Area between curves =

A: Given: y=x    and   y=x2-2

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

A:

Q: Find the area of the regions enclosed by the two curves, y =x +3 and y = 4x+8. %3D

A: From the given problem:   y=x2+3 & y=4x+8       Now finding a point of intersection:…

Q: Find the area of the region enclosed by the curves y = |x² – 4[ and y = 4+

A: We sketch the region using a graphing calculator y=|x2-4| (green)  y=4+ x2/2 (violet)

Q: Find the area between the curves.

A: Given: The curves are y =x and y =xx  .

Q: Determine the area enclosed by the curve r²=4sin(20).

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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: Find the areas of the regions enclosed by the two curves y = 2x? and y = x² + 4x.

A:

Q: Sketch the region enclosed by the curves y=2x, y=〖2x〗^2+x-3, then find its area.

A: The two curves are :                                    y=2xy=4x2+x-3 To determine:…

Q: Find the area of the region enclosed by the curves y=x2−1 and y=8.

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Q: Sketch the region enclosed by the curves y = x² and y = 4x – x² and find its area.

A: Plot the 2 curves and find the area A to be calculated. The shaded region between the curves is the…

Q: Find the area bounded by the curve 5y2 = 16x and the curve y2 = 8x − 24 and provide a correct and…

A:

Q: Find the area of the region that is enclosed between the curves y = x² and y = x + 6.

A: The given curves are, y=x2 and y=x+6. The objective is to find the area of the region that is…

Q: Find the area of the propeller-shaped region enclosed by the      curves      x - y^(1/3) = 0 and x…

A: First we have to find where the curves intersect. Set x equal for those curves and solve for y.

Q: Sketch the region enclosed by the curves x = y² + 2 and x 6 and find its area.

A: Given curve

Q: . Find the area of the region bounded by the curves y = 2x? - 8x + 12 and y = -2x+ 12.

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

Q: Find the area of the region of the enclosed by the curves y = 39 – x² and y = x2 – 33.

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Q: Find the area of the region enclosed by the curves y = 4 24 8 16 x³ and y = 4x.

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

A: Find the solution below

Q: Find the area of the region bounded by the line y = 4 - 2x and the coordinate axes.

A: Given query is to find the area bounded by the line.

Q: Find the areas of the regions enclosed by the two curves, y and y = 2. %3D

A: The given curves are: y=x28y=2

Q: Find the area of the region enclosed by the curves y = x + 5, y² = = x, y = −1, and y = 2.

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Q: Find the area of the region enclosed by the curves y = 7 – 2x² and y = x² + 4

A: We need to find the area of the region enclosed by the curves y=7-2x2    and    y=x2+4. Let us plot…

Q: Sketch the region enclosed by the curves y = x2- 4 and y = 3x − 4, and find its area.

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Q: Find the area of the region between the curves 4x + y = 12 and x Area between curves = %3D

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Q: Determine the area of the region bounded by the curves y = ₁, y = 2x and x = 4

A: This is a problem related to integration. Based on the general formula and concept we will answer…

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

A: Find the area of the region bounded by x= 1/(y2+1) and the y-axis using the horizontal strip.

Q: Find the area of the region enclosed by the curves x=9y², x = 0, and y = 1.

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Q: Sketch the region enclosed by the straight line y = 4x − 4 and the curve y = x2 and find the area of…

A: Given, straight line y=4x-4  and the curve y=x2we have to sketch the region enclosed by given…

Q: Find the area of the region bounded by the curve y?=4x and the lines x = 1 and x = 4.

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Q: Find the area of the triangular region in the first quadrant bounded on the left by the y axis and…

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Q: Find the area between the curve y = sec (4x) and the line joining the points (-,2) and (. 2).

A: Consider the given information: To find the area between the curve and the line joining the points.

Q: Find the area of the region enclosed by the curves y =x and y = 1 FIRO FIRO

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

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

A: y1=x2-4x    and  y2=-2x

Q: Find the area of the region inside the circle x + y = 2 and above the line y = 1. %3D

A: We have above diagram from given statement and area of yellow part , we have to find We can see…

Q: Sketch the curves y = 8 − x^2 and x^2 and calculate the area of the regionbetween them.

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

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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: Find the area of the propeller-shaped region enclosed by the curves x - y1/3 = 0 and x - y1/5 = 0.

A: We have the curves x-y13=0 and x-y15=0. We have to find the area of the propeller-shaped region…

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

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Q: find the area baunded by the curves linest ytAx-8 =0 and y=x

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Q: Find the exact area of the region that lies beneath the curve y = 6x, 0 < x < 27. 19

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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.

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.