Find the area of the shaded region. y y3x² 3y 2 x+16 8 (1, 6) 4 (2, 4) (-2, 4) 2 y = 8 – 2 x -4 -2 4 A = 2.

Q: Find the area of the region lying to the right of x = y? -4 and to the left of x = 2-y².

A: Use given curves x=y²-4  => y²=x+4 is a parabola  with axis of symmetry is (-4,0) And x=2-y²…

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: Find the area of the shaded region. y y = x - 15 x 20 10 y= x (4, 4) -6 2 (-4, -4) - 10 - 20 A =

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Q: Find the area of the shaded region.

A: The given shaded region is

Q: Find the area of the shaded region            ,  x  = 2y - y 2    , x = y 2  - 4y ,   (-3 , 3 )

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Q: Find the area of the shaded region. y 8 y= 5 x – x 6. (3, 6) 4 2 y= 2 x X -1 4 5 2.

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Q: Find the area of the shaded region. (-11/4, 11/2) 10 y 8 x = y² - 6 y 6 4 -2 x = 5 y-y² 5

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Q: Q3:B/ Find the areas of the regions enclosed by the line and the curve y = x* – 4x? + 4 and y = x?

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Q: Find the area of the shaded region. 2 -1 square units y=x+ - 2x³ y=0

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Q: Find the area of the shaded region below. y x = y² – 4y (-3, 3) x = 2y – y²

A: We have to find the area of the shaded region.

Q: Find the area of the shaded region: 1. y=x+4 (3,7) (-2, y=r-2

A: Area between the curves

Q: y = 2 y = x x²

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Q: y y= 4x y3= 2 y345– x

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Q: Find the area of the shaded region. Ay y =x - 2x3 y = 0 -1 2 -1- square units 2.

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Q: Q5 (a) Find the area of the region enclosed by the lines and curves, y=x' -2,and y =2

A: Since you have asked  multiple questions in single request  so we  will be answering only first…

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

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Q: b) Find the area of the shaded region. 1) ii) y= T x=-y 2Fx= 2- y²

A: we have to find the area of the shaded region.

Q: Find the area of the shaded region. y 3y= 2 x+ 16 (1, 6) 6 4 (2, 4) (-2, 4) y = 8 – 2x -4 -2 2 4 2.

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Q: X = -y A y 2Fx = 2- y² -2

A: Recall: Formula Area=∫abf(y)-g(y)dy  We have,  f(y)=2-y2, g(y)=-y

Q: Find the area of the shaded region. y y=x² (-2, 4) -2 A = -4 6 4 2 (1,6) |3y=2 3y=2x+16 (2, 4)…

A: The area of region R which is bounded by the curves f(x) and g(x) between the lines x=a to x=b and…

Q: Find the area of shaded region.

A: Consider the graph,

Q: Find the area of the shaded region. y. 8- x= y-6y (-35/4, 7/2) -12 -10 -4 x=y-y

A: Please refer the attached image for complete solution.

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: Find the area of the region enclosed by the two functions y=7x2y=7x2 and y=x2+6.y=x2+6.

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Q: Find the area of the shaded region. y =x²+1 y -x 2

A: Since your question has multiple questions we have solved the first question for you.     Consider…

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 shaded region. y x = y -8 -6 -4 -2 4 Hy=-1 2.

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Q: Find the area of the region between y = x2 + 9 and y = 2x + 10

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Q: Find the area of the shaded region. y = x2 - 4x + 3 yx-1 3

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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: Y A x = 2y x = y² – 3

A: Given: The graph containing two curves x=y2-3  and  x=2y as follows:

Q: problem in photo attached

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Q: y y = x² + 1 5. y = x 2.

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Q: Find the area of the shaded region. y y = 9x-x 20- 15- (7, 14) 1아 5- y= 2x 10

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Q: (b) Find the area of the shaded region y=1 y=5-x^2

A: We have to compute the area bounded by the curve y=5-x2, the line y=1 and the y-axis. We will use…

Q: Find the area of the shaded region. y 31 x = y - 4 y = 1 x= e -2 2 4 y= -1

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Q: Find the area of the shaded region. x = y² - 4 -2 y 3 -3 y = 1 x = e² 2 y = -1 4 X

A: Given graph:-

Q: O and 8x8 + x°. - Find the area of the region bounded by y = 0 and y

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Q: y = x(x2 – 4)

A: We have to find the area of the shaded region.

Q: Find the area of the region between y = 6x² and y = x² + 7.

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Q: a) Find the area of the shaded region. 1) ii) y= T 2x=2-

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Q: Find the area of the shaded region: y y = x - 15 x 20 10 y = x (4, 4) -6 2 4 6. (-4,-4) - 10 - 20

A: QUESTION-  Find the area of the shaded region

Q: Find the area of the shaded region. y 3 x= y - 3 y = 1 x = ey - 4 -2 2 4 y = -1 -2 -3 2.

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Q: Find the area of the shaded region. y 2 x = y' -9 y= 1 x= e - 10 -8 - 6 -4 -2 4 Hy = -1 -2 2.

A: To find the area between the two curves f(y)=x=ey and g(y)=x=y2-9 Area between curves:…

Q: Find the area of the region enclosed by y = x² – 2x and y =3.

A: Our objective is to find the area.

Q: 2+ y =x+ - 2x3 1 y = 0 2 -1

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Q: y = x2 - 4x -2x

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Q: Find the area of the shaded region below. y A x= y² – 4y (-3, 3)- x = 2y – y?

A: Using the method of Integration

Q: Find the area of the shaded region below. y A y= 5x – x² (4, 4) y = x Area = %3D

A: The figure is given by To evaluate : The area of shaded region.

Q: y1=x2+2x+1 y2 =2x+5 Find the area of shaded region

A: