Q2/ Find the area of the region in the first quadrant bounded on the left by the y-axis, below by the curve x 2Vy, above left by the curve x = (y - 1)², and above right by the line x 3 - y.

Q: Find the area of the region between the curve y 4 In x and the horizontal axis for

A: We have to find the area of the region between the curve  y=4 ln x and the horizontal axis for…

Q: The area of the region bounded by y = v9 – x² , the x-axis and the line y=x in the first quadrant…

A: The area between the curves y=9-x2, y=x, x=0 :The area between curves is the area between a curve fx…

Q: The area of the region bounded by y = v9-x² , the x-axis and the line y3x in the first quadrant is:

A: The area of the region is calculated by the double integration, and to solve double integration we…

Q: 4. Find the area of the region in the first quadrant bounded on the left by the y-axis, below by the…

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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 the curve y = x2 + 3x + 2, x = 0, x = 2, and x axis

A: Solution

Q: Find the area between the curves. x = -3, x = 0, y = 1 -x2, y = 0

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Q: Find the area of the region in the first quadrant bounded on the left by the​ y-axis, below by the…

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Q: Find the area of the region bounded by the curves y= 2² - 3 and y = 2x + 5.

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Q: Calculate the total area of the region described. Do not count area beneath the x-axis as negative.…

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Q: Find the area of the region in the first quadrant bounded on the left by the​ y-axis, below by the…

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Q: Find the area of the region between the curves 4x + y^2 = 12 and x =y.

A: 4x+y2=12    and  x=y

Q: Find the area of the region in the first quadrant bounded by the line y=3​x, the line x=4​, the…

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Q: What is the area of the region bounded by the graph of the y= 2/x function x = e, x-e^2 lines and…

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Q: What is the area of the region bounded between the curves y = 6x and y = 4x? What is the area of the…

A: 1) The given curves are  y=6x2 and y=4x First equate both curves 6x2=4x  6x=4    x=23

Q: FIND THE AREA BOUNDED BY THE PARABOLA x = 8+2y-y², THE Y-AXIS, AND THE LINES y = -) AND y = 3

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Q: Find the area of the region bounded by the curve y = 9 - x2 and the x-axis.

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Q: Calculate the total area of the region described. Do not count area beneath the x-axis as negative.…

A: the area is given by A=∫ab|fx-gx|dx here we have fx=7x g(x)=0 a=0, b=16

Q: Find the area bounded by the curve y = x² – 3x 3x and y + 4 = 0

A: We have to compute the area of the region bounded by the curve y=13x3-3x and the line y=-4 using the…

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 of the first quadrant bounded on the left by the y - axis below by the…

A: Given: X=2y^0.5 X=(y-1)^2 X=(3-y)

Q: Find the area bounded by the curve x=y²+2y and the line x=8.

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Q: The area of the region bounded by y = v9- x² , the x-axis and the line y-x in the first quadrant is:

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Q: Find the area between x-axis and the curve defined by   y=2·x2−6·x on the interval [0‍,4].

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Q: What is the area bounded by the curve y = x3 and x = -2 and x = 1? What is the area bounded by the…

A: we have to find area

Q: Determine the area bounded by the curve y = 2x - x^2 + 5 and the line joining the points (3,2) and…

A: Please see the explanation below

Q: Find the area between the curves. x = -2, x = 1, y = 2x2 + 5, y = 0

A: Given, x=-2,x=1,y=2x2+5,y=0

Q: What is the area bounded by the curve y^2 = x and the line x - 4 = 0?

A: We have to determine area of bounded

Q: find the area of the region bounded by the curve y^2=x+1 , both by the x and y axes and the line x=8

A: Using Reimann sums, the area of the region R is given by Sn=∑k=1n∆Ak. This is simply the sum of…

Q: Find the area of the region in the first quadrant bounded by the line y = 8x, the line x = 1, the…

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Q: Find the area on the first quadrant bounded by the curve y = 2Vx and the lines y = 1,x = 4 and the…

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Q: Find the area of the region bounded by the curves y = xe3x-+3 x-axis and the lines x = 0 and x = 1.…

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Q: Find the area of the region bounded by the curve  y = 2x2 - x  and the line  y = x + 4  .

A: To find the area of the curve.

Q: $ find the area of region in the first quadrant bounded on the left by the y-axis, below by curve x…

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

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 between the two curvesx=2-y^2x=y^4

A: Given thatx = 2-y2         ...(1)x = y4            ...(2)

Q: Find the area of the region enclosed between the curves y= 4 -x^2 and x=3 and x-axis within the…

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Q: the area between the curves y = x2 - 8 and y = 4

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Q: Find the area between x-axis and the curve defined by   y = 2·x2 − 6·x on the interval [0,4].

A: Given curve: y=2x2-6x We need to find the area between x-axis and the curve on the interval 0,4

Q: Find the area of the region between the curve y = 2x/(1 + x2) and the interval -2<= x <=2 of…

A: Find the area bounded by curves

Q: Find the area of the region in the first quadrant bounded on the left by the y-axis, below by the…

A: Given data: The given equation of the line is y=x/4. The first equation of the curve is y=1+x1/2.…

Q: Find the area of the region above the curve y = x2-6, below y= x, and above y=−x.

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Q: Find the area of the region in the first quadrant bounded by the line y=3​x, the line x=4​, the…

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Q: Find the area between the curves -16 = 4x- y and -10 = 2x-y.

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Q: What is the area bounded by the curve y^2=x and the line x-4=0?

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Q: Calculate the total area of the region described. Do not count area beneath the x-axis as negative.…

A: Topic = Application of integration

Q: Find the area bounded by the curves y=ex+2, y-axis, y=1, and the line x=3

A: Find the area bounded by the curves y=ex+2 and y-axis, i.e., x=0, y=1, and the line x=3. Limit for x…

Q: Find the area of the region bounded by the line y = 2x – 5 and the parabola y = x² – 4x. - -

A: Graph of enclosed region -

Q: 2 x = 8 – y, x=y¯ - 8 ?, x =y² - 8

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Q: Find the area of the region bounded by the curves y = x2 – 12, from below; y= 20 – x2 from above.

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