Evaluate the double integral / zy° + a°ydA where R = {(x.y)| 2 sxs4, 0

Q: (1) Sketch the graphs y = x¹(x+2) and y = x(x+2) for the domain [-2, 1] shading the areas between…

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Q: Suppose △ABC△ABC with coordinates A(2, 3) B(2, -1) and C(-3, -1) undergoes a dilation about the…

A: (x,y)=>(-2x,-2y)

Q: (b) A region R is bounded by the curve y=2x-4 +1 and the line 2y-x=0. (b) (i) Sketch and shade the…

A: Given equation of the curve is: y=2x-4+1 Given equation of the line is: 2y-x=0 It is given that…

Q: Calculate the area of the plane region bounded by the function Y=X²-4X +5, and the line that passes…

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Q: Find the centroids of the function, y=4x-x^2, y=x (please sketch the graph)

A: Let's find.

Q: find the area of the region bounded by the curves y=x3 and y = x² between their intersections.

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Q: Area under the curve x + y = 3 and the coordinate axis

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Q: y=x² (-2,4) 0 (1,6) (2,4) 3y = 2x + 16 y=-2x+8 X

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Q: Region bounded by y = 1 − x2 and y = 0

A: To graph the region bounded by, y = 1 − x2 and y = 0

Q: (4) Find the area of the region bounded by f(x) = 12 - 3x², the x- - and the lines x = 0, and x = =…

A: The region bounded by functions  , the x axis and the lines  and

Q: Find the area under the curve

A: To find area under the curve defined by the points (20,85), (15,83), (9,80) & (7,78)We can use…

Q: Find the area of the plane region that lies below the line y = 2x and between the parabolas y= 2x^2…

A: Given Curves are:…

Q: y = x - 15 x 10 y = x (4, 4) -6 -4 4 K-4,-4) - 10 - 20 20

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Q: Find the area of ​​region R bounded by y = 2x, y = 5x and y = 5 in the first quadrant  NOTE: The R…

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Q: Find the area of the region between the curve y = 3 - x² and the line y = 1 -x from x = 0 and x = 2.…

A: The region between the curve y=3-x2 and the line y=1-x from x=0 to x=2