6. Given that k is an arbitrary constant, find the orthogonal trajectories of the following family of curves, y = ke".

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A: Sum

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A: solution:∫dxx2+4x+13∫dxx2+4x+4-4+13∫dxx+22+9∫dxx+22+32

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A: Let's find. 

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A: Use integral test for checking the convergence 

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Q: 28) S idx=f /2dx, 28) B)5/2.C D)글지/2.c 29) J 3.²dx=. 29) A) x3 B 3x2 + C C) 6x + C D) x3 + C 30)5sin...

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Q: Consider the differentiable functionf with f(4) =; and f'(4) = If g(x) = f(x²), then gʻ(2) = А. 1 B....

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A: The series divergence test:The simplest divergence test,called the DivergenceTest,is used to determi...

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