Determine whether the alternating series converges. 00 5ln k k k=3 O The series diverges. O The series converges.

Q: gien oferdone (D- JI) (D +3I); the to the grven finctions e-3%

A: (D-2I)(D+3I)=D2+3D-2D-6I=D2+D-6I Apply the operator on e2x (D2+D-6)e2x=D2(e2x)+D(e2x)-6e2x=D(2e2x)+2...

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A: z=x2+y2+xy ; x=sint , y=et

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A: As per our guidelines we are supposed to answer only one question. Kindly re-post other question as ...

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A: Application of derivative

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A: NOTE: Refresh your page if you can't see any equations. . here t= number of years after 2010 so for...

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A: Here, w=f(p,q,r), p=g(t), q=h(t) &amp; r=k(t) So, 

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A: Solution: Here.  y=cos10x

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A: Topic = Algebra As per guidelines , At a time only three sub-parts can be answered.

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A: NOTE: Refresh your page if you can't see any equations. . compare this equation with  so here we ...

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A: We will use lebnitez's test to find wether the given series is convergent or divergent. The test sta...

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A: NOTE: Refresh your page if you can't see any equations. . to find the equation of velocity take der...

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A: We have properties of cot function to solve this problem

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A: Here, the region bounded by the curve y=sec x, y=0  from x=-π4 to x=π4 about x-axis is:  

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Q: Solve: (3x – 2xy+ 3y)dx = 4rydy (y +3x)(y – x)3 = Ca³ %3D O (y + 3x) (y – x) = Ca³ (y – 3x)(y + x)3 ...

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Q: 5) Evaluate the integral.cusc c for the constan6 of integrafion) 2(ean cx) +6an cx>) dx

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Q: Solve: x'y" + 3xy' + y =0 2_2)

A: Please refer to the image below