1. Find the area bounded by the curves y?=2ax, y?=4ax-a? 2. By integration, show that the area of a circle of radius r is A = rr?

Q: Find the area bounded by the curve y = 4x over the square root of (1 - 2x) and lines y = 0, x = -4…

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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: Find the area bounded by y = (11 – x)7, the lines 3x=2, x=10, and the x-axis

A: We have to find the area bounded by the curves.

Q: What is the area bounded by the curves y=x2+5 and y=−x2, the line x=3, and the y axis.

A: Given that, The curves are y=x2+5 and y=-x2, the line x=3, and the y-axis. Find the area bounded by…

Q: Determine area under curves y = x2 + 3 and y = 7 - 3x. Show with sketch

A: Topic = Application of integration

Q: Calculate the area of the segment cut from the curve y=x(3−x) by the line y=x. Also, sketch the…

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