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ointxydx+x^(2)dy,quad C is counterclockwise around the rectangle with vertices
(0,0),(2,0),(2,5),(0,5)
(a) Evaluate the given line integral directly.

$\oint x y d x+x^{2} d y, \quad C$ is counterclockwise around the rectangle with vertices $(0,0),(2,0),(2,5),(0,5)$ $\newline$ (a) Evaluate the given line integral directly.

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Find the magnitude of a vector

Full solution

Q.

\oint x y d x+x^{2} d y, \quad C

is counterclockwise around the rectangle with vertices

(0,0),(2,0),(2,5),(0,5)

\newline

(a) Evaluate the given line integral directly.

Calculate Total Tape Needed: Step $1$ : Determine the total amount of tape needed and the amount per roll. $\newline$ Total tape needed = $8,000 \, \text{cm}$ , Tape per roll = $2,000 \, \text{cm}$ . $\newline$ We need to divide the total tape needed by the amount of tape per roll to find out how many rolls are required. $\newline$ Calculation: $8,000 \, \text{cm} \div 2,000 \, \text{cm} = 4$ rolls.

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