Given F = ar sin ϕ + aϕ3 cos ϕ and the quarter-circular region shown in Fig. 2-22,a) deter...

Given F = ar sin ϕ + aϕ3 cos ϕ and the quarter-circular region shown in Fig. 2-22,

a) determine  F · dℓ, and

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b) find ∇ × F, and verify Stokes’s theorem.

Fig Path for line integral (Example 2-14 and 2-16)

Example 1

Example 2