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{\bf Math 225 : Quiz\hfill Nov.\ 27, 1991}

Show your work and circle your final answer.

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1. Let $C$ be the curve parameterized by $\r(t) = t\i + t^2\j$, $0 \le t \le 1$. Calculate the line integral $\int_C x \,ds$.

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2. Evaluate the line integral $$\int_C y\,dx + x\,dy + z\,dz$$ where $C$ is
the curve parameterized by $$\r(t) = e^t\i + e^{-t}\j + t\k,\quad 0 \le t \le 1$$


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