Use the Divergence Theorem to find the outward flux of F = (4x³ + 3xy²) i+ (3y³ + eˇsin z) j + (4z³ + eº cos z) k across the boundary of the region D: the solid region between the spheres x² + y² + z² = 1 and x² + y² + z² = 2.

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Q: (b) Show that: cos(x cos 0) = Jo - 2J₂ cos 20 +2J4 cos 40 +

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A: y'=ex-y2ex-e-y y0=0

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Q: 6. Find the general solution of the differential equation given below ex-y y' =26= y(0) = 0

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A: To find: The solution of the differential equation y' tanx sin2y=sin2x+cos2y

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Q: Part bl Let U₁ = 1 + x + 4x², U₂ = 2x + 5x², U3 = 2 + x + 7x². Determine whether these three vectors…

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