Computer Science Archive: Questions from February 02, 2024
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Find o\\\\int_C vec(F)*dvec(r) for the following, where 0<=t<=1 :\\n(a) F(x,y)=(x^(2)+y^(2))vec(i)+yvec(j) and vec(r)(t)=t^(2)vec(i)+t^(3)vec(j) \\n(b) F(x,y,z)=xvec(i)+z^(2)vec(j)+xyvec(k) and
4. Find \( \oint_{C} \vec{F} \cdot d \vec{r} \) for the following, where \( 0 \leq t \leq 1 \) : (a) \( F(x, y)=\left(x^{2}+y^{2}\right) \vec{i}+y \vec{j} \) and \( \vec{r}(t)=t^{2} \vec{i}+t^{3} \vec1 answer -
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