Hfe Rfa, bj, prove the triangle ineguatity for integrats: , ) drs (Hint: Recall that ƒ - f - S integrable functions.) and |f| - 1* +S¯ where f* and f- are both nonnegative Riemann

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A: To prove- If the given function is differentiable at (0,0).

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A: Please see the below picture for detailed solution.

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A: We discuss here, the differentiability of a function of two variables.

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A: For the solution follow the next step.

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A: Simplify the integral:  ∫Ωr→r3∇→r4-R4r5+7r3+2dτ=∫Ωrr3r^r^ddrr4-R4r5+7r3+2r2sinθdrdθdϕ…

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Q: Let F(x,y) = (3x +4xy)i + (2x² -y³j

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A: The given function,The aim is to find the following,(i) Check continuous at .(ii) Check…