y = -x² + 2x + 2 y = -x + 2 cetch the region bounded by the graphs of the equations, y 10

Q: y x = y - 10 y (- ) 75 15 2 -30 -20 -10

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Q: Q3: Find the area of the region bounded by the curve y = x³ and the lines y = -x, y = 1. (Draw the…

A: Given problem:- Find the area of the region bounded by the curve y = x3 and the lines y = - x, y = 1

Q: Is the solution region bounded or unbounded? - x+y 2 -6 x 2 - 10 x s 0 ys0 The region is V because…

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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: The region between y =1+1 and y = 9 – 2, for -1 <I<2

A: (2) Given curve is y=x+1 and y=9−x2 for −1≤x≤2 We have to find the area. The graph of the required…

Q: i)Find the area of the region enclosed by graph of fx=x3-x2 and gx= 2x .

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Q: Find and graph the area of the region bounded by the curves, x=-6 ,  x=6 , the x-axis  and the…

A: region bounded by the curves, x=-6 ,  x=6 , the x-axis  and the parabola   x^2-4y-16 = 0.

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

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Q: Determine the area of the given region. The region bounded by y = x2, y = 2x2 - 4x, and y = 0

A: Given, The curves are y = x2, y = 2x2 - 4x, and y = 0 The graph of the region is as below

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 region enclosed by the curves y = 2x and y = 4x- 2. You may find the graph of y…

A: We have given two curves y = 2x and y = 4x-x2 Write the limits of y and x by the given graph: y…

Q: f(x) 7xe-x, y = 0, 0 <x < 1 ketch the region bounded by the graphs of the equations. 3- 2- y 3

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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: f(x) = y = 0 X = -2 X = -1 Sketch the region bounded by the graphs of the equations. y 8p 6 4 -6 -4…

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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: Consider the following equations. x = y2 + 5,    x = y + 7 Sketch the region bounded by the graphs…

A: Given data: The first equation given is x=y2+5. The second given equation is x=y+7.   The graph of…

Q: Q2) A) Graph the curve Y = x (x +5)(x-3) between the value of x [-5, 3], then find the area of the…

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

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Q: 2. The region between the graph of y = 4 - x² and the x-axis.

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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: Find the area of the region between the graph of y=x2 -20 and y=6x-13

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Q: The area of the region enclosed by the graphs of y = x - 2x- 9 and y = x-9 is square units.

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

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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: Find the area of the region bounded by the graphs of y2 = 5 – x and y2 = 4x.

A: Given y2=5-xy2=4x

Q: Find the area of the region bounded by the graphs of the given equations. y=3-x^2, y=3-5x

A: Concept Used: The area between the curve fx and gx on the interval a,b is given by A=∫abfx-gxdx

Q: The area of the region enclosed by the graphs of y = x - 2x -9 and y =x-9 is square units.

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Q: Find the area of the region bounded by the graphs of the given equations. y= 7x-x, y = 2x The area…

A: Given that, Two functions are, y = 7x - x2   and    y = 2x we have to calculate the bounded area by…

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: 23. The diagram shows the curve y = x2 – 6x – 2 and the line y32x-9, which intersect when x=1 and…

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

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Q: 4. (i) Draw the graph and shade the region bounded by the curves  x = y2─ 5y and y = x. (ii)…

A: Given information: The region bounded by the curves  x = y2─ 5y and y = x. (i) Draw the graph and…

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

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Q: 6. Find the total area between the region and the x-axis y -g - 2r, -3 <<2

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Q: Find the area A of the region between the graphs of the equations y2 = 5x x2 = 5y A = symbolic…

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Q: y2 =-x2 +2x+3

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Q: Find the area of the region bounded by the graphs of the given equations. y = - 2x-x, y= - 8 The…

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

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

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

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Q: Determine the area of the shaded region bounded by y = -x² + 8x and y = x² - 6x. Ay 30- 20 10 -30…

A: We first find the x values where the graphs intersect by setting them equal.…

Q: 5. I Find the area of the region enclosed by the curves y = 3x³ - x²-10x and y=2x-x². (x ≥ 0) (a)…

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Q: 4.5x follows. A sketch of the region enclosed by y = x and y = a2 + 1 2- -2 -1 -2 Area of the region…

A: I am going to solve the given problem by using some simple calculus to get the required result.

Q: 5. Find the area of the region bounded by y=x² - 6x +5 and the x-axis. 125 (a) A= square units 3 (b)…

A: To find the area of the region bounded by given curves.

Q: Find the shaded region in the graph. Ay 5- 2 3- y= 2 y = ¢os x + 1 4 T/6 T/ 3 5π/ 6 2π/ 3 II

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Q: a of the shaded region. y 3- = y² -7 x y= 1 X= -8 -6 -4 4 Hy = -1 -2 2. 2. 2.

A: area under the curve can be calculated as:-

Q: Find the area of the shaded region. y x = y° - 10 y 10 75 15 4' 2 -30 - 20 - 10 x = 5 y- y -5 - 10

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Q: Determine which graph corresponds to the area enclosed by the curves y = 2x² and y = x² + 1. 8. 4- 3…

A: Explanation of the answer is as follows