Calculate the area described by the equation y= -6x² +24x + 10, bounded by the lines x = 0 and x = 4

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

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Q: Calculate the total area of the region bounded by the line y= 6x^2 + 9, the x-axis and the line x =4…

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Q: Find the area bounded by the equations, y=2sinx, x=3, and y=-1/3x.

A: Given- y=2sinx , x=3 and y=-13x To Find- The area bounded by the above equations, Identity Used-…

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: Find the area of the region between the line y = 2x and the curve y = x²+ x – 2

A: y=2x --------(1) y=x2+x-2 -------(2) For points of intersection…

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

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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 = 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. x² + 8x, y = 0 y 200/3

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Q: he area bounded by y^2=4x and the line 4x-3y-4=0.

A: In this question, the concept of Integration is applied to determine the area bounded by two curves.…

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

A: for finding area we need to first draw the graph of given data then use suitable limit and then…

Q: Find the area of the region enclosed by the line y=4x and the curve y=x³ + 3x².

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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 y = 2x2 + 10, y = 4x + 16, x = -3 and x = 4.

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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: What is the area of the region enclosed by the curve y=x^2 and the lines y=x+6, x=0 and x=5?

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Q: Find the area of the region bounded by the x-axis and the lines x =- 2 and y =- 4x + 20.

A: It is known that area of region bounded by the curves is given by the integral, A=∫abf2(x)-f1(x)dx…

Q: Find the area of the region bounded by y=square root of 2x, y=3x-4, and y=0

A: Recall: Area between the curves:      If f(x) and g(x) are two continuous functions and f(x) ≥g(x)…

Q: . Find the area of the region bounded by the curves y = 2x? - 8x + 12 and y = -2x+ 12.

A: Hey, since there are multiple questions posted, we will answer first question. If you want any…

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: What is the area of the region bounded by y = x^2, the x-axis, and the lines x = 2 and x = 5, using…

A: Given function is, y=x2 Limits for x is, x1=2x2=5

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

A: Required area is…

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 area enclosed by curves y=2x, y=4x^2

A: Area enclosed by two curves is the measure of the area occupied by their intersection.

Q: Find the area of the region bounded by y = 9x2 and y =√(3x)

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Q: Find the area of the “triangular” region bounded on the left by x + y = 2, on the right by y = x2,…

A: Graph the given equations first.We have to find the area of the shaded region

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

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

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 bounded by the parabola f(x) = 16-x^2 and the lines  x=0 and x = 4 and…

A: Givenf(x) = 16-x2lines x=0, x=4 and x-axis(y=20)

Q: Find the area of the region bounded by y = x; y 8-x' and y 4x +12.

A: It is given that, y=f1(x)=4x+12,y=f2(x)=8-x2,andy=f3(x)=x2 Area under the bounded region can be…

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 enclosed by the line y=4x and the curve y= x3 + 3x2

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Q: Find the area of the region between the line y = 2x and the curve y = x2 + x − 2

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Q: Find the area of the region bounded by y = x² - 5x + 6, the x axis, and the vertical lines x = 0 and…

A: Given that y = x2 - 5x + 6 ; y = 0 (x - axis) ; x = 0; x= 4  We have to find the area of the region…

Q: Find the area of the region bounded by the two curves. y = x2 + 3 y = 7x + 3

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

A: Given; y=2x2 +10 y=4x+16

Q: Determine the area of the region bounded by y = 2.r2 + 10 and y = 4x + 16.

A: We sketch the region using a graphing calculator

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: y = 2x ,2 y+ 4x – 8 = 0

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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 in the second quadrant bounded by y= -x and y=x^4

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Q: Find the area of the region bounded by y = 7x + 7, y = -9x + 4 and x = 15. Leave your answer correct…

A: The solution of the problem is given in the next steps.

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 bounded by the curves, 2x² + 4x + y =0 and y = 2x.

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

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Q: Find the area bounded by y= 2x³ and y=x³ + 3x²=4.

A: 2) To find the area bounded by the curve f(x)=2x3  & g(x)=x3+3x2-4. To find the intersection…