Numerical Value Questions

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1.
If the area bounded by y^2 = 4x and y = mx is 8/3, find the value of m.
2.
The area bounded by y = x^2 and y = kx (k > 0) is 9/2. The value of k is:
3.
The area of the region {(x,y): y^2 <= 4x, x + y <= 3, y >= 0} is:
4.
The area of the region {(x,y): x^2 + y^2 <= 1, x + y >= 1} is:
5.
The area between y = x^2 and y = a (a > 0) is 4*sqrt(2)/3. The value of a is:

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