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Let F(x, Y, Z)be a Function of Three Variables Cgradfdr\int _ { C } \operatorname { grad } f \cdot \overline { d r }

Question 68

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Let f(x, y, z)be a function of three variables.Suppose that C is an oriented curve lying on the level surface f(x, y, z)= 2.
Find the line integral Cgradfdr\int _ { C } \operatorname { grad } f \cdot \overline { d r }

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