Find   Where C is the boundary of the area bounded by the graph y = 3x and y = 4-x2 with a positive orientation (use the green theorem)

Q: A curve is such that the area bounded between the curve, the y-axis, the x-axis and the line…

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Q: Find the area bounded by the parabola x² = - (y - 1) and the first quadrant.

A: Intersection points:y=0x2=1;x=1 (First quadrant)(1, 0)x=0:1-y=0y=1(0, 1)

Q: Graph the curves  y= x2- x  and  y =  x3 - 4x2 +3x  on acommon screen and observe that the region…

A: The given curves are as: y=x2-x   & y=x3-4x2+3x First of all we have to find the point of…

Q: Find the area under the curve 2x+3y-6%3D0 from x+63D0 to x-19%3D0

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Q: Find the area bounded by the parabolas y=6x-x2 and y=x2-2x. Graph it

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Q: Calculate the area of the region that lies between the line y=-1 and the parabola y = x²-6x-1,

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Q: find the parabolas x= y2,y= 255¢ and the ine area Of the region bounded by the

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Q: calculate the area of the bounded figure from the graph of the function y = x²-1 and the axis Ox

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Q: Use a change of variables to find the area of the curved rectangle above the x-axis bounded by…

A: Given,Area bounded by:y24-1≤x≤4-y216 , y264-16≤x≤9-y236 , x≥0

Q: Use rectangles to estimate the area under the parabola y = x2  from 0 to 1

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