determine the area of the region bounded by y=2x^2 + 10 and y=4x + 16

Q: Find the area of the region bounded by y = -x² – 6x – 3, y= -x2 – 8x – 13, x = -5, x = -2.

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Q: Determine the area of the region bounded by y = 3x2 and y = x + 2.

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Q: Find the area bounded by the curve y=4x-x² and the lines x=-2 and y=4.

A: See below

Q: Determine the area of the region bounded by x = y² + 1, x = 5, y = −3 and y = 3.

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Q: Sketch the region bounded by the graphs of the functions. y = x2 – 8x + 16, y = x2 – 24x + 144, y =…

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Q: area of the region

A: Consider the given equations, y=2x2+10y=4x+16x=-2x=5 It is observed that the region is bounded only…

Q: Determine the area of the region bounded by x = 2y and x = y3 – y.

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Q: Find the area of the region bounded by the graphs of the equations. y = 4x + 2, x = 0, x = 2, y = 0

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Q: Find the area of the region bounded by the graph of y=-3x+6and y axis.

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Q: Determine the area of the region bounded by y=2x^2+10 and y = 4x+16

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

Q: Find the area of the region bounded by the graphs of the equations. y = 8 + Vx, x = 0, x = 8, y = 0

A: Let's plot the graph : consider a vertical rectangle. So limits : y → 0 to (8 + x3 )x→ 0 to 8

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

A: Given  The equation  is  y = 5x2 + 2,    x = 0,   x = 2,    y = 0 Formula for area under the curve…

Q: Evaluate the area of the region bounded by x=y^2 and y^2 = 6-x

A: To find the area

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

A: Given that, Two equations are following, y = 5 - x2  and y = 5 - 5x We have to find the area bounded…

Q: What is the area of the region between the graps y = x – 1 and line y = -x – 1

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Q: Find the area of the region bounded by the graphs of the equations. y = 7x2 + 5,  x = 0,  x = 2,  y…

A: Graph the equations. We have to find the shaded area.

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

A: we have to find the area of the region bounded by the graphs of the equations: y=-x2+x+6y=0 as we…

Q: Determine the area of the region bounded by x=--y2  +10 and x=(y -2)2

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Q: Find the area of the region bounded by the graphs of the equations.                y = x − x3,    x…

A: The graph of bounded region by the curves y=x-x3, x=0, x=1, y=0:

Q: Determine the area of the region bounded by x=3+y^2, x=2-y^2, y=1 and y=-2. *

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Q: Find the area of the region bounded by the graphs of the equations                y = 6x2 / (x3 − 2)…

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Q: Find the area of the region bounded by the graphs of the equations. y = 5x2 + 3, x = 0, x = 2, y = 0

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Q: determine the area of the shaded region bounded by y=-x^2 +8x and y=x^2-6x

A: Find the x coordinates of endpoints of the area

Q: Find the area of the region bounded by the curves x = y3 - y2 and the line x = 2y. %3D

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Q: determine the area of the region bounded by x=y^2 - y - 6 and x= 2y + 4

A: Determine the points of intersection for the two functions graphically. We can see from the graph…

Q: problem in photo attached

A: Given,

Q: Sketch the region bounded by the graphs of the functions. y = x2 - 4x + 4, y = x2 - 12x + 36, y = 0

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Q: find the total area of the region between the graphof ƒ and the x-axis. ƒ(x) = 1 - √x, 0 ≤ x ≤ 4

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Q: Find the area of the region bounded by the graphs of the equations. y = 7x2 + 1, x = 0, x = 2, y = 0

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Q: Determine the area of the region bounded by y = 2x2 + 10and y = 4x + 16.

A: The area of the region bounded by the functions f(x) and g(x) over the interval [a,b] is:…

Q: Find the area of the region by bounded by the graphs of y=x2+2x and y=-x+4 on the interval [-4,2]

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Q: Find the total area of the region enclosed between the curves: 10x² +24x and =-x³ +10x² 24x

A: The objective is to find the area bounded between the curves.

Q: Find the area of the region bounded by x 2y and y=2-- %3D

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Q: Determine the area of the region bounded by y= 2x2 +10 and y= 4x +16

A: Please see the diagram below to understand what's going on:

Q: Determine the area of the region bounded by x=y^2+1, x=5, y=−3 and y=3

A: .

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

A: Following is the graph First obtain the points of intersection…

Q: Determine the area of the region bounded by x=3+y^2, x=2−y^2, y=1 and y=−2.

A: Given that the region is  x=3+y2 And is bounded by x=2-y2, y=1 and y=-2. Hence we can write the…

Q: Find the area of the region bounded by the graphs of the equations. 3 y = 2 + Vx, x = 0, x = 8, y =…

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Q: Find the area of the region bounded by the graphs of the equations. y = 9 + Vx, x = 0, x = 8, y = 0

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Q: determine the area of the region bounded by y= 8/x, y=2x and x=4

A: The equations are y=8x, y=2x, x=4

Q: Find the area of the region bounded by y = x2 - 4x + 3 and y= -x2 + 2x + 3. Set up

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Q: Sketch the region bounded by 1 + 2, y = -x, x= 1, x = 2 y = - %3D and FIND its area.

A: To sketch: the region bounded by the curves: y=1x+2, y=x2, x=1, x=2. And also, we need to find the…

Q: Find the area of the region bounded by y = 3x²-x² - 10x; y=-x² + 2x

A: We have to find the area bounded by curves, y=3x3-x2-10x, y=-x2+2x

Q: Find the area of the region bounded by the graphs of x = 3-y^2 and x = y+1

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

A: Follow the procedure given below.

Q: Find the area of the region bounded by y=-x^2+3x+1 and y=-x+1

A: Please see the diagram below to understand what's going on:

Q: Determine the area of the region bounded by x = –y² + 10 and x = (y – 2)².

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Q: Find the area of the region bounded by a curve y = x^2-3 and y =5-x^2

A: Consider the provided curve, y=x2-3  and y=5-x2 Find the area of the region bounded by a curve.…

Q: a of the region bounded by y=4x-x^2 and y=x

A: the area bounded by two curves f(x) and g(x) is given by ∫abf(x)-g(x)dx now  y=4x-x2 and y=x2-2x…