Calculate the total area of the region described. Do not count area beneath the x-axis as negative. bounded by the line y = x, the x-axis, and the lines x = 0 and x = 7

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: Find the area of the region bounded by y=0 and y = -5x + x° 47 42 37 42 57 21 57 42 37 21

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Q: 3. Find the area of the region in the first quadrant that is bounded by y=Vx , x-axis and y=x-2. |

A: 3) To find the area under the curve in first Quadrant

Q: Find the area of the region enclosed by x = y and x = 1.

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Q: Find the area of the region enclosed by x + y = 2 and x + y = 0

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Q: Find the total area of the shaded region. 1.5- 1- 0.5- 0 y x=12y³ 6 x=12y² (12,1) 12 18

A: The equation of the curves are: x = 12y3 x = 12y2 The graph of the curves is To evaluate: The area…

Q: Find the area of the region enclosed by: y = x³ and Y = = x4

A: Given curves are  y=x3 and y=x4 Point of intersection of the curves are obtained as follows.…

Q: Find the total area of the region enclosed by the curve x = y^(2/3) and the lines x = y and y = -1.

A: To determine the area bounded by the curves.

Q: Find the area of the shaded region. y y = Vx 3 마1, 1) x = 27 1 y = X 5 10 15 25 20 2.

A: The area under the graph can be determined by integration. Let, Boundary points are, x1=1 and…

Q: Find the area of the unbounded shaded region. 1 y = x2 + 1 y 1.0 0.5 .4 -2 2 05

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Q: Find the area of the shaded region. y 3 y = Vx 11, 1) x = 27 1 y = 10 15 20 25 2.

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Q: b) Calculate the area of the region.

A: Integrate the given integral with respect to dθ.

Q: Evaluate the area of the region bounded below by y = x* and above by y = x.

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Q: Determine the area of the given region. The region bounded by y = x2, y = 2x2 - 4x, and y = 0

A: Given, The curves are y = x2, y = 2x2 - 4x, and y = 0 The graph of the region is as below

Q: Find the total area of the region enclosed by the curve x=y^2/3 and the lines x=y and y=−1.

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Q: Find the area of the region enclosed by x = y and a = 1. %3D

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Q: Calculate the area of the region bounded by x+y = 4, r + y = 8, x = 0, and I = 5.

A: Given:         Area of region bounded by x+y=4…

Q: Find the area of the “triangular” region bounded on the left by y = √x, on the right by y = 6 - x,…

A: Concept: The simplest area calculations are for squares and rectangles and to find the area of a…

Q: Find the area of the shaded region. y 4h 3 y = V x 2 1 1, 1) X = 27 1 y = 5 10 15 25 20

A: Topic- application of integration

Q: Find the area of the region bounded by y = x^2 - 5x + 6, the x-axis, and the vertical lines x = O…

A: here we have .............the x-axis .............upper and lower limit (2 vertical lines)

Q: Compute the area of the shaded region. y=-x+4 p+X =Á O 2 16 8. 32

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Q: Determine the area of the region enclosed by y=x^2 and y=x^1/2 A) 1/3 B) 1/4 © 1/5 D 1/6

A: To find the area enclosed between the two given curves.

Q: Find the area of the region enclosed by these graphs and the vertical lines x = 0 and x = 3. square…

A: The given function is, fx=-x2+2x+4 and gx=-x+4 To sketch the function. To find the area of the…

Q: Find the area of the region bounded by y=−x3 + 3 , y = x , x = −1 , and x = 1

A: The region of whose area is to be calculated is noted from the following graph:   The region is the…

Q: (b) Find the area of the region enclosed by x = y² and y = x – 2

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Q: Find the area of the shaded region. y y= xV4 x y=0 2 y= 0 -2 SQuare units 21

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Q: 4. Find the area of the region enclosed by y = –x² + 6, y = x, y = 5x, and x 0.

A: Area bounded by the region y=-x2+6, y=x and y=5xFirst we sketch the region

Q: 3. Y = x°; y= x°

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Q: Find the total area between r

A: Given: r=4sin(θ)r=7sin(4θ)

Q: Calculate the area of the region that lies under thecurve and above the  x-axis. y =2x - x2

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Q: Find the area of the enclosed region y=x^1/2 y=1/2x x=9

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Q: Find the total area of the region y%= -x-+ 9;0< x 5 05 6. O 10 6. 10 3 98 3

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Q: Find the total areas of the shaded regions

A: according to given figure areaA of shaded region is given by A=∫01x13-x12dx…

Q: Find the area of the region enclosed by x = y and x = Vy– 6.

A: The graph is shown below:

Q: x=(y– 13 2- x=3-y 1 T= 2Vy

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Q: В. Find the area enclosed by the given curve, the x-axis, and given lines. x²+10, x=1 and x 3 3 4. y…

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

A: Our objective is to find total area of the region bounded by y=2x,the x-axis,and the lines x=2 and…

Q: Find the area of the shaded region. y 4 3 2 1 (1, 1) 2 y = √x y = 4 X 6 X = 8 8 X

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Q: Find the area of the region bounded by the given y = 4ax, y = 4ax°, a > 0

A: The given curves are  y = 4ax y = 4ax3 Intersection point of both curves 4ax = 4ax3 4ax(x2 - 1) = 0…

Q: Find the area of the given region. y = x − x2

A: The given region is the colored portion of the following graph: Lower limit of x value is 0 and the…

Q: Find the area of the shaded region. y y = x 2 11, 1) X= 27 1 y= 5 10 15 20 25 3.

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Q: Find the area of the region.  y = x2 − 2x,  y = 5x

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Q: Determine the area of the region enclosed by y=x^2 and y=x^1/2

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Q: Find the area of the region enclosed by y = –x² +6, y = x, y = 5x, and x > 0.

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Q: Let R be the region enclose by the graphs of y=lnx, the line x=3, and the x-axis. Calculate the…

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Q: Find the area of the region enclosed by these graphs and the vertical lines x = -1 and x = 0. |…

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Q: Give the area of the region enclosed by y=2- x and y=x²

A: To find the intersection of both graphs, set the equations equal to each other and solve for x

Q: Given the curve y = x' and the line y = 2 – x. Find the area of the region bounded by the curve and…

A: Area bounded by the curve y=x2 and the line y=2-x

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…