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Hey, theres a few questions i need help with urgently, would apreciate any help on as many of them as fast as possible. Thanks in advance.

1.

Find the area enclosed by the curves:

y² = 4 + x and x + 2y = 4

2.

Fine the volume of the solid of revolution generated by rotating about the y-axis the region enclosed by the y-axis and the curves y = 2x^2 - 1 and y =

√(x)

3.

Use the method of cylindrical shells to find the volume of the solid of revolution generated by rotating about the y-axis the region enclosed by y =

√(x+1), y = 0, x=0 and x=4

Differential equations now:

4.

Solve

dy/dx = (x(y²+3)/y

5.

Solve

dy/dx = e^(x-2y), y(1) = 0

6.

dy/dx = x²y-2e^(x), y(1) = -1

Use Euler method with 4 stephs to find and approx value for y(2)

Thank you sooo much for the help

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# Homework Help: Anti-Diff and Differential Equations help.

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