(11) Evaluate the integral x-2y dA 3x - Y where D is the region bounded by the lines x - 2y = 0, x - 2y = 4, 3x - y = 1, and 3x - y = 8. Hint: Use the change of variables u = x - for r and y in terms of u and v. - 2y and v= 3x - y and solve

Q: 1. Let y = x² + 1 and y = −2x + 1. (a) Graph the two functions together on the same plane. Find the…

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Q: Q2: f(x. y)- x/y over the region in the first quad- rant bounded by the lines y x,y 2x,x 1,x-2

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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 area of the region bounded by y = 2x2 + 10, y = 4x + 16, x = -3 and x = 4.

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Q: Q2) A) Graph the curve Y = x (x +5)(x-3) between the value of x [-5, 3], then find the area of the…

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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 of the region bounded by y = x2+ 2x – 1, y =÷+x-÷, x = -3, x = 1.

A: Find your answer below

Q: Find the three areas of the region bounded by y= 2x²+10 , y=4x+1 and the lines x=-2 and x=5.

A: We need to find the area between two curves. The area between two curves y=fx, y=gx for x∈a,b is…

Q: Find the betwween/bounded by area the Curue u=4y-x² and The line. 4=8-Zx.

A: Sketch the two curves From the graph, we observe that both curves intersect at x = 2 and x = 4.

Q: y = 2x2 + x - 6 y= x² - 4 y 5- (2, 4) 4+ 3+ 2+ 1+ + + -3 -1 -1+ 1 X -2+ -3+ -5 -7+ 3.

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Q: Find the area of the region bounded by y = 9x2 and y =√(3x)

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Q: an isosceles triangle has a baseline between (0,0) and (x,0), while the third corner is placed in y=…

A: Let's find.