Find the area of the region enclosed by the graphs of x=y^3-14y and y+2x=0.

Q: Find the area of the region bounded by the graphs of the equations. y = -x2 + 4x, y = 0

A: We first find where the two equations meet.  We plug y=0 in the first equation and find x

Q: Find the area of the region bounded by the graphs of the equations.              y = 1 − x4,    y =…

A: We sketch the region using a graphing calculator.

Q: Find the area of the region bounded by the graphs of the equations                       y = x / (√x…

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

A: Given: Two curves y=x2-6 and y-3=0

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: Find the area of the region bounded by the graphs of the equations. y = -x2 + 10x, 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: Find the area of the region bounded by the graphs of the equations. y = -x² + 6x, y = 0

A: Given equation y=-x2+6x,  y=0. The objective is to find the area of the region. "Since you have…

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: Find the area of the region bounded by the graphs of the equations y=x−x3, x= 0, x= 1,and y= 0.

A: Given equations: y=x-x3x=0x=1y=0 The region bounded by the graphs is shown below:

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

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Q: Find the of the region bounded by the parabolas y – 6x = -x² and y + 2x = x² , area

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

A: try to draw the curve first.

Q: Find the area of the region bounded by the graphs of the equations. y = 4 + Vx, x = 0, x = 8, y = 0

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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: Find the area of the region bounded by the graphs of the equation y = x and y= x².

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Q: Find the area of the region bounded by the graphs of the equations.

A: If there are two curves given,say, f(x),g(x) over an interval [a,b] such that over this interval…

Q: Find the area of the region bounded by y = 10x + 4, y = -10x + 3 and x = 14. Leave your answer…

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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 region bounded by the graphs of the equations. 1. y = 5x² + 2, x = 0, x = 2, y = 0

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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: 23. 2x² + y = 0 and y = 8x

A: As per the policy we are allowed to answer only one question at a time. So, I am answering the first…

Q: Find the area of the region bounded by the graphs of the equations.                 y = 8 − x,    x…

A: If f(x) is continuous on [a, b] then area of the region bounded by f and x axis is, A=∫abf(x)dx

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

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Q: Find the area of the region bounded by y=2x2-3x+2 the x axis and the vertical lines x=0 and x=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: Find the area of the region bounded by the graphs of the equations. x-1 y = √x-1, y 2

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Q: Find the area of the region bounded by the graphs of the equations. y = -x2 + 8x, y = 0

A: Let us plot the region.

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: 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 x=-y2  +10 and  x=(y -2)2

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Q: Determine the area of the shaded region bounded by y=−x^2+4x and y=x^2−2x.

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Q: Find the area of the region bounded by y = x³ - 8 the x-axis and the y axis.

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

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Q: Find the area of the region bounded by the  graph y=2x2-3x+2 the x axis and the vertical lines x=0…

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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: 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: Find the area of the region bounded by y=2x2-3x+2 the x-axis and the vertical lines x=0 and  x=2

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Q: Find the area of the region bounded by the graphs of the equations.                 y = 2√x − x,…

A: Given: The equations, y=2x-x and y=0.

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: 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 three curves y = x², y = 8 - x², and 4x - y + 12 = 0.

A: Given: y=x2y=8−x24x−y+12=0

Q: Find the area of the region that is enclosed between y=4x^2-x^3+x and y=x^2+3x.

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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: Find the area of the region enclosed by the curves defined by  y=x2-2x-2 and y-x+8

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Q: find the total area between the region y=3x^2-3, -2< x < 2 and the x axis

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Q: Find the area of the region bounded by the graphs of the equations. y = -x2 + 10x, + 10x, y = 0

A: Clearly we can rewritten the equation y=- x2+10x  as                                        y-25= -…

Q: Find the area of the region bounded by the graphs of the equations.                    y = 1 + 3√x,…

A: Solution: Consider the given equations  y=1+3xy=0and x= 0x =8 First of all, draw these equations and…

Q: Sketch the region bounded by the graphs of the functions and find the area of the region y = x³ – 4x…

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