Given That $\vec{G}=3 x^{2} \vec{i}+10 y^{4} \vec{j}$ Find a Function G So That

question 59

Short Answer

Given that $\vec{G}=3 x^{2} \vec{i}+10 y^{4} \vec{j}$ find a function g so that $\vec{G}=\operatorname{grad} g .$ Use the function g to compute $\int _ { C } \vec { G } \cdot d \vec { r }$ where C is a curve beginning at the point (2, 4)and ending at the point (0, 1).

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