Green's Theorem

Practice Questions

Calculus 3 › Green's Theorem

Questions

3

1

Use Green's Theorem to evaluate the line integral

$\int_{c}3ydx-4xdy$

over the region R, described by connecting the points , orientated clockwise.

2

Use Greens Theorem to evaluate the line integral

$\int_C 5y dx - 4x dy$

over the region connecting the points oriented clockwise

3

Use Green's Theorem to evaluate $\oint_C 5xy \ dx +x^3y^2 \ dy$ , where is a triangle with vertices , , with positive orientation.

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