1. Sketch the region of the plane bounded by the lines x = 0, y = 2x and y = 4, then calculate its area.

Q: Find the area of the region bounded by the curve y2=4x and the lines x = 1 and x = 4. A 21/2 square…

A: Given the curve y2=4x and the lines x=1 and x=4

Q: Calculate the area of the shaded part y = x + 3 and y = x³ – 3x + 3. y3x+3 Area 1 Area 2 (2, 5) + y…

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Q: Find the centroid of the region cut from the first quadrant by the circle x2 + y2 = a2.

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Q: (2) Determine the intersection points of y=-x² +9 and y = 5. Then find the area bounded by this…

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Q: enclosed betw parabola y = x2

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Q: B) Find the area of the region enclosed by the Parabola y = 2 – x2 and the line y + x = 0 ?

A: The region is bounded by y=2-x2 and y+x=0

Q: Find the area of the plane region bounded by the curves y = √x − 1, y = 3, the x-axis, and the…

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Q: Find the Surface area of the portión of the cylinder ya + z² =9 above the rectangle in the xy plane.…

A: Cylinder y2 + z2  = 9,z = 9-y2,0 ≤ x ≤ 2,and-3 ≤ y ≤ 3