z> (x² + y? )+/2 Draw the region: and x² + y? + z² 4 x² + y? + z2 <= 16 and

Q: Find the area of the shaded region. Ay 64- y 64-x2 48- Q 32- 16- -8 -6 -4 -2 2 4 6 8 10 -16- -32-…

A: The area under a curve, f(x) between two points, x=a and x=b can be found by doing the definite…

Q: 2. Find the area of the region bounded by the graphs of y = x2 – 6 and y-3 0.

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Q: 2. Find the area of the region bounded by the graphs of y = x2 - 6 and y-3 = 0.

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Q: Find the area of the region bounded by the graphs of the  2 equations. a)y = −x2 + 10x,    y = 0 =…

A:

Q: Find the area of the region. y = 16 – x4 15 10 -3 -2 -1 1 2 3

A: Given:- y = 16-x4  To find:- Area of region bounded by curve and x axis

Q: Find the three areas of the region bounded by y=2x^2+10, y=4x+16 and the lines x=-2 and x=5.

A: Given: y=2x2+10y=4x+16x=−2x=5

Q: Find the area of the region bounded by the graphs of the equations: f (x) = V5x – 10 g(x) = 2x – 4

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Q: 7. Find the area of the region bounded by the graph of y= 2x-3x+2, the x-axis, and the vertical…

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Q: Find the area of the region bounded by y=x^2 and y=15-2x

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Q: (b) Find the total areas of the shaded region. y = x} y = -2x4 2.

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Q: The area of the region bounded above by y = 7 , below by y = x2 , between x = -2 and x = 2.

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Q: Evaluate (x-2y )à -(r'y+3)cy around the boundary of the region defined by 3C. y = 8x and x = 2.

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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 the graphs of the given equations.   y = 5x − x 2 ​, y= - 4x

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Q: Find the area of the shaded region. y =x4. 32 -2 -5- -10+ -15+ -20- 30+ 35- 40- y = -x 4 O 256 516…

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Q: 2. Find the area of: (a) the region bounded by y = x^2, the x-axis and the line x = 2 (b) the region…

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Q: Find the area of shaded region.

A: Consider the graph,

Q: Find thearea bounded by x=y^2 and y=-x^2

A: The region is bounded by x=y2 and y=-x2

Q: Find the area of the specified region. (Do not count area below the x-axis as negative.) the area…

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Q: Find the area of the region enclosed by y = 4- ², y = -x+2, r = -2, and r = 3.

A: Area under the curve is obtained by using the double integration  The integration is given as…

Q: 3. Find the area of the region bounded the curve f (x) = x² line y = x + 2. Show your complete %3D…

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Q: Find the three areas of the region bounded by y= 2x2+10, y=4x+16 and the lines x=-2 and x=5.

A: Given : y = 2x2 + 10, y = 4x + 16 and the lines x = -2 and x = 5.   To find the three areas.

Q: Determine the area of the shaded region bounded by y = - x2 + 8x and y = x2 – 6x. The area of the…

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Q: Find the area of the region bounded by the graphs of the equations. y = −x2 + 2x,    y = 0

A: y=-x2+2x, y=0 The diagrammatic representation of the area of the region bounded by the graphs of the…

Q: .2 What is the area (in square units) of the region bounded by the graphs of y=x+2, and the x axis…

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Q: y = x2 − 2x,  y = 4x + 7 find area of region

A: y=x2-2x......(1)y=4x+7......(2) Solve the above equation, 4x+7=x2-2xx2-6x-7=0x=-1,7

Q: Determine the area of the given region. The region bounded by y = 2x2 - 6x + 5 and y = 1

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Q: the area of the region bounded by the graphs of y2 = 5 - x

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Q: Determine the area of the given region. The region bounded by y = 6 - 3x2 and y = 6x - 3

A: The given curves are y=6-3x2  and  y=6x-3. Sketch the region bounded by the above curves as shown…

Q: Find the area of the region bounded by y = 2x? - 3x +2 the x axis and the vertical lines x= 0 and x…

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Q: - The region trapped between y = 4x 2 2x² and y = 2x² 1³ is shown below. - I

A: Please refer to the image below

Q: 2. Find the area of the region bounded by y = 2x² +10, y = 4x+16, x = -2, and x = 5.

A: first draw bounded region then find limit of region and using vertical strips find the area

Q: Find the area of the region enclosed by the graphs of y^2 = x+7 and y^2 = 5-x.

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Q: Find the area of the trapezoid that is the region bounded by the lines x = 1 and x = 3, the x axis,…

A: Area bounded by the given curve:

Q: Find the area of the region bounded by the graphs of y2 = 4x and the line 2x – y = 12

A: answer is in next step

Q: Find the area of the region bounded by the graphs of the given equations. y= 2x - 5x + 5: y = x² +…

A:

Q: Find the area of the specified region. (Do not count area below the x-axis as negative.) the area…

A: The area is bounded by the curves:y=25-x2 ; x axis ; x=-5 and x=5

Q: Find the area of the region. y= 7e-x/4

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Q: How many square units is the area of the region bounded by the two curves y = x^2 - 4x and y = x^3 -…

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Q: Find the three areas of the region bounded by y= 2x2+10, y=4x+1 and the lines x=-2 and x=5.

A: Given: y=2x2+10y=4x+1x=-2x=5……1   To find: Area of the region enclosed with the above curve and…

Q: 16. Find the area of the region. -2,4 f2,4) 2- y=x-3x -2

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Q: Determine the area of the shaded region bounded by y = - x² + 8x and y = x² - 4x. AY 30 20 10 0-20…

A: The equation of the curves are : C1: y =-x2+8xC2:y = x2-4x To evaluate : The area of the region…

Q: of the given equations. y = x² - 2x - 24, y = -x² 1

A: Given curves are      y=-x2             . . . (1)    y=x2-2x-24  . . . (2) The graph is given be

Q: Finf the area of the region bounded by y=√x-4, y=0 and x=8

A: Formula to find the area of the bounded region helps to find the required area. integration formula…

Q: 2. Find the area of: (a) the region bounded by y = x^2, the x-axis and the line x = 2 (b) the region…

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Q: Use partial fractions to find the area of the given region. 12 x2 + 5x + 6 y 2 3. 4. 5. 2.

A: Solution:- The given function is  f(x)=12x2+5x+6

Q: Use partial fractions to find the area of the given region. 12 y = x2 + 5x + 6 2 5 4, 2-

A: The given function is y=12x2+5x+6 we have to calculate :-  Area =∫04y dx=∫0412x2+5x+6dx

Q: Find the region bounded by y=2sqrt(x-1), the x-axis, the line x=5 and the line x=17.

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Q: What is the area (in square units) of the region bounded by the graphs of y =x2+2, and the x axis…

A: Here we find the area using integration.

Set Theory

Every field in the present world involves a set. The theory of sets was developed by German mathematician Georg Cantor while working on the “problems of trigonometric series”.