Determine the area of the region bounded by y = 4x + 3, y = 6 –- x - 2x2, x = -4 and x = 2. Sketch the graph of the region neatly.

Q: Find the area of the region enclosed by y = 4 / x, y = 4x and x=2

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Q: Find the area of the region. y = x2 − 3x,  y = 4x

A: First graph the given curves.

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

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Q: Sketch the region bounded by the graphs of the equations and find the area of the region y = 6 −…

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Q: Sketch the region bounded by the graphs of the equations and find the area of the region x = y2 + 1,…

A: Given Data The first equation is x=y²+1. The second equation is x=y+3.   Let, f(x)= y²+1 g(x)=y+3…

Q: Sketch the region bounded by the curves 4x2 + y = 28 and x* – y = 4, then find the area of the…

A: Area between curves

Q: Find the area of the region bounded by the graphs of y = x² – 1 and y = 3.

A: By using area bounded by the curve formula, we calculate the required area.

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

A: Area between the curves

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 region by y = x^2 + 4x and the y - axis

A: Area between the y=x^2+4x and y-axis is unbounded .  So, we will find the area bounded by the region…

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: Sketch the region bounded by the graph of the equations and find the area of the region. 1 y = , y =…

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Q: Sketch the region bounded by the graph of the equations and find the area of the region. x = y² -…

A: Solution

Q: Find the exact area of the shaded region: (0, 4) y = 4 - x2 3 (3,-5)

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Q: Find the area of the unbounded shaded region. y = 8xe- y 2.0 1.5 1.0

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Q: Sketch the region and find the area of the region bounded by y = -x2 + 9 and the x-axis.

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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 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: Compute the area of the region enclosed by the x-axis and the curve y = x3 - 7x2 + 10x

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Q: Sketch the region enclosed by the curves y=x+2, y=25-x^2, x=-2, and x=2. Find the area of the…

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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: 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: Sketch the region bounded by the graphs of the equations and find the area of the region. y = 1/x2,…

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Q: Compute the area of the region enclosed by y=3-2x-x2   and the x-axis.

A: First we find the points where it cuts the x-axis. For this, solve the given curve by equating it to…

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 y = 9x2 and y =√(3x)

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

A: NOTE: Refresh your page if you can't see any equations. . the first equation is

Q: Determine the area of the given region. The region bounded by y = 2x2 - 6x + 5 and y = 1

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Q: Find the area of the region bounded by y = 9 – x^2 and y = x^4

A: Let's find area of the region bounded by given two curves.

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: Sketch the region bounded by the graphs of the equations and find the area of the region y = x, 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 = 7x2 + 1, x = 0, x = 2, y = 0

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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 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 enclosed by the graphs of x = y^2 and y = x − 2

A: As per our guidelines we are supposed to answer only one question.  Kindly repost other question as…

Q: Sketch the graph of the region enclosed by y = 4 – x² and y = -x+2 and calculate its area.

A: From the given curve bounded region is shown below:     Now finding the point of intersection:…

Q: Find the area of the shaded region. (9,3) x = y2 (0,0) (9,-3)

A: Using horizonal strip Established double integral

Q: Find the area of the region enclosed by the curves y = | x²- 4 | and y = 4 + x² / 2

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Q: Sketch the region enclosed by the curves y = x2  and y=4x-x2 and find its area.

A: Given: y=x2 and y=4x-x2

Q: Sketch the region and find the area of the region bounded by y = 3x + 1, the lines x = 1 and x = 4,…

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Q: Sketch the region enclosed by y 4x and y = 2x2. Find the area of the region.

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Q: y у 3 х3 + х, х%3D 2, у — 0 y = 0

A: Substitute 0 for y in the equation y=x3+x and simplify, to obtain the limit of x.…

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 region enclosed by y=x^2 and y=2x-x^2.

A: Please refer the attached image for complete solution.

Q: Find the area of the region enclosed by x=y³ and x=√y-6

A: Given: x=y3, x=y-6 For finding areaA of the region enclosed by given curves, we draw graph of both…

Q: Find the area of the region enclosed by the graphs of x =y and x 3y

A: This area is enclosed by the two curves,  y = x2  y = 3x  Thus, we can find the area by sketching…