Evaluate ∫SF⃗ ⋅dA⃗ , where F⃗ =(bx/a)i⃗ +(ay/b)j⃗ and S is the elliptic cylinder oriented away from the z-axis, and given by x2/a2+y2/b2=1, |z|≤c, where a, b, c are positive constants.

Therefore surface integral is .

Step-by-step explanation:

Given function is,

To find,

where S=A=surfece of elliptic cylinder we have to apply Divergence theorem so that,

Therefore surface integral without unit vector of the surface is,

1)is not similar since corresponding sides are not in the same ratio

2)are similar since corresponding sides are in the same ratio and corresponding angles are equal

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step-by-step explanation: