Using double integration, find the area for x > 0 that is enclosed by the y-axis, the curve y = 4−x^2 and the line y = 3x. Sketch the area of integration.

Q: What is the area of the region enclosed by the curve y=e^x and the lines x=-1 and y=3?

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Q: 3. tind the area bounded by thu follo wing curves: y= X^2-4,y= 0,x = 4

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Q: Find the area between two curves: y=2x-x^2+3 y=x^2-4x+3 Show steps of calculation.

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Q: 2. I3D X-に-A

A: To find: Area of the shaded region in adjoining figure.

Q: Find the area bounded by the ff. curves and lines: a. y = xe^–x , the x-axis and the maximum…

A: To find the are bounded by the curves and lines: (a) y=xe-x, the x-axis and the maximum ordinate.

Q: find: The center of the area for the shaded region.

A: We are given with function and find the area of the shaded region

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A: Let us choose a function f(x) = x2 and say that we want to calculate the ara under f(x) and x-axis…

Q: Find the area of the region between the curves y = x + 1, y = 9 – x², x = -1, and x :2. %3D Area…

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Q: Find the area of the region enclosed by the curves y = x^2 − 1 and y = 7 − x^2.

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Q: Find the area of the region bounded by y = 6x-x? y=2x

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Q: 13. y = 5 x², y=3-x. —

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Q: Find the area bounded by the curve y^2+x-4y=5 and the y-axis.

A: The figure is given below