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Question

Mathematics Question on Application of Integrals

A. CF.drˉ=sCurl F.n^ds∮_{C}\vec{F}.d\bar{r}=\int\int\limits_{s}\text{Curl}\ \vec{F}.\hat{n}ds
B. CMdx+Ndy=R(Nx+My)dxdy\int\limits_{C}Mdx+Ndy=\int\int\limits_{R}(\frac{∂N}{∂x}+\frac{∂M}{∂y})dxdy
C. grad is a vector normal to the surface ∅ = C
D. ∅ is the maximum rate of change of ∅
Choose the correct answer from the options given below

A

A, B, D Only

B

B, C, D Only

C

A, C, D Only

D

A, D Only

Answer

A, C, D Only

Explanation

Solution

The correct option is(C):A, C, D Only.