State the area of the region, determined by the lines, y = 6zr, y = 3x + 2, y = 6x – 11, y = 3x + 9 with proper uv-transformation i. integrand function (integrant fonksiyonu) ii. the limits of u (u nun sınırları) ii. the limits of v (v nin sınırları) Oi. 1/9 ii. 2 s us 11 ii. 2 s v s9 Oi. 1/3 ii. 0 sus 11 iii. O s v s9 Oi. 1/3 ii. 2 s us 11 ii. Os vs 9 Oi. 1/3 ii. 0 sus 11 iii. 2 s v s 9 Oi.9 ii. 0 su s11 iii. 2 s v s 9

Q: Let R be the region bounded by the curve y = r and the line y = 2x. Use inequal- ities to describe R…

A: In this question we have to describe the area of region by using vertical cross section

Q: State the area of the region, determined by the lines, y = 14x, y = 4x + 2, y = 14x – 4, y = 4x + 7…

A: we know we will use jacobian to transform the change of variables here .

Q: Let IR be the region in the first quadrant bounded by the curves y = x3 and y = 2x – x². Compute the…

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Q: Sketch the region bounded by the graphs of the equations and find the ar ea of the region (a) y = x³…

A: Question-(B) . NOTE: Refresh your page if you can't see any equations. . here we have…

Q: 6. Find the centroid of the region bounded by the given curves. y = x 2 , y = 6 - x

A: Given: y=x2, y=6-x

Q: Sketch the region enclosed by the given curves. y = 3 cos(5x), y= 3 – 3 cos(5x), 0 < x< 1/5 y y 6- 2…

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Q: Z=fGx,y)= within Regron %3D メ -४ Sketch and label region (ラ×30 Set up rals SS f(x, y) dA as SS S…

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Q: Determine the region bounded x=y2-6y+10 and x=2y+4

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Q: fof 8 6 5 1 3 2 5.6 8 9 10 1 Find the centroid of the region displayed in the graph. (x, y) =

A: We have to find the centroid of the shaded region:

Q: Calculate ff (2x + y) dydx, Where R is a region bounded x-y²-1 ,x=3,y=-1 and y=2 R

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Q: Sketch the region enclosed by the given curves. y- Vx- 3, x - y - 3

A: To find the area of enclosed region of the given curves, first we find the intersecting points of…

Q: Sketch the region enclosed by the given curves. y = 4 cos(x), y = 4 - 4 cos(x), 0 s xs n y y 4 2 1.0…

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Q: Calculate line integral F-dr where F(x, y) = (7x + y, 5x + 2y) and C is a rectangle with vertices…

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Q: The region between the graphs of y = x² and y = 3x is rotated around the line x = 3.

A: Given data:   The expression first curve is: y=x2. The expression for the second curve is: y=3x. The…

Q: Find the area bounded by the region y = 2x + 2 and the lines y = 1, y = 2

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Q: 2. The region bounded by x = 2 y, x = 0, y = 9 is rotated about the y - axis.

A: Given Data: The given curve is x=2y. Rotated about y axis. The limit for y axis is (0, 9).

Q: The region R is bounded by y 4 %3D and y = x +3. -

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Q: Let R be the rectangular region with (1,2) , (2,3) , (3,2) and (2,1) as corners. Use change of…

A: Changing the variables

Q: Find the centroid of the region bounded by the graphs of f(x) = x2, g(x) = 2x, x = 2, and x = 4.

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Q: 4. Sketch the region R= {(x, y)|y < x < /1- y²,0 < ys v2/2}. (Hint: graph all of the four "curves".)

A: R=x, y| y≤x≤1-y2, 0≤y≤22 The four curves are   y=x x=1-y2y=0y=22

Q: 9) Find the centroid of the region bounded by the graphs of y =-x“, y=0, and x=3.

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Q: B- Find the area between the curve (y-√x - 2) and the lines (y-4-x),(y=0).

A: We have given three curves-y=x-2y=4-xy=0 First we will find intersection of first two curves…

Q: rotate the region bounded by y=2x+1, x=4 and y=3 about the line x=-4

A: Solution:-

Q: Find the area of the region bounded by the curve y2-4r and the lines x = 1 and x = 4.

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Q: integrate ƒ over the given region.Quadrilateral ƒ(x, y) = x&gt;y over the region in the first…

A: Given,

Q: Rotate the region bouNded by X= (y-3)² and x= 16 about the x=-5

A: 1st we will find shaded region bounded by given curve and line

Q: Sketch the region enclosed by the given curves. y = 3 cos(9x), y = 3 – 3 cos(9x), OSxS1/9

A: Solution is in step 2

Q: State the area of the region, determined by the lines, y = 13z, y = 2z + 2, y = 13z – 4, y = 2x + 7…

A: we will use transformation and jacobian here.

Q: Rotate the region bounded by y= x- 2x + 4 and y X+14 about the X- axis

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Q: Sketch the region enclosed by the given curves. 4x y = 1+ x2 4x2 y = 1+ x3 y

A: Given area can be given as below :

Q: Use Polar coordinate to evalute ff gdA, 8 where R is the region Bounded by the life line yet, the…

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Q: Let R be the region in the first quadrant bounded by the curves y = x³ and y = 2x – x² Compute the…

A: Volume about y-axis

Q: Let S be the region bounded by the curves y = x and x = y²/2.

A: (a) Area of region bounded by given curves, S=∫02(2x-x)dx    (Area= ∫abf(x)-g(x)dx)

Q: R is the region bounded by x2 + y – 4 = 0 and x – y +2 = 0 and it is revolved about y = 0.

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Q: Find the area of the region bounded by y = 5-x2, y 2x+2, y=-x-1, a. in terms of x b. in terms of y y…

A: We will find out the required value.

Q: Find the area of the region bounded by the curvesxy= 1,xy= 3,y= 2x, and      y= 3x by using the…

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Q: Sketch the region bounded by the graphs of y%3= 1 and y=D4-3x, then find its area.

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Q: Sketch the region bounded by the graphs of the functions. (x) - Vx, 9(x) = x y y 1.5 1.5 1.5 1.5 1.0…

A: Given curves f(x)=x7, g(x)=x For their points of intersection,…

Q: Determine the absolute maximum and minimum values of f(x, y) = 2+4x–2x²+4y-y² on the region R…

A: The region bounded by the x-axis,y=3x and x=2 is:

Q: - the region 1, x = 0, y = %3D

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Q: It is possible for a region in the xy-plane to be both type 1 and type 2 at the same time.

A: This is possible.

Q: Find a such that the line x = a divides the region bounded by the graphs of the equations into two…

A: Given,    y = x,  y = 4  and  x = 0 So the region bounded by these curves is given by shaded region…

Q: Calculate line integral F-dr where F(x, y) = (7x + y, 5x + 2y) and C is a rectangle with vertices 0,…

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Q: R is the region bounded by y = x², y = 4x - x² and the line x = and it is revolved about y = 0.

A: Given regions are, y=x2y=4x-x2y=0 Now, using Washer method by the formula, V=π∫abR2-r2dx

Q: Define the region bounded by y = 0, y=4Vx , y = 24 - 2x and y = X -4 using vertical and horizontal…

A: The equations of the bounding sections are: y=0y=4xy=24-2xy=x-4 The equations are plotted on a…

Q: Sketch the region enclosed by the given curves. 1 у %3 2/х, у 3 8х, у %3D —х, 2 x > 0 y 5 4

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Q: find the are of the plane region bounded by the urves y=3x2 and y=16-x2

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Q: Find the area of the unbounded shaded region. 2x y = x* + 5 1.0 0.8 0.6 0.4 0.2 х 2 3 4 5

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Q: Consider the region bounded by the curves y= X,y= 3-2x, and y=3 %3D

A: 1) Shaded the region :