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GATE ME 2015 Set 2 — Question 37

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NAT+2 / -0MediumLine, Surface & Volume IntegralsVector CalculusEngineering MathematicsGauss Divergence Theorem

Engineering Mathematics → Vector Calculus → Gauss Divergence Theorem

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The surface integral ∬S1π(9xi−3yj)⋅n dS\iint_S \frac{1}{\pi} (9x\mathbf{i} - 3y\mathbf{j}) \cdot \mathbf{n} \, dS over the sphere given by x2+y2+z2=9x^2 + y^2 + z^2 = 9 is ________
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