By writing the summation of the two power series E=3 (n– 2)(n+1)c,x"-3+ En=0 Cnx" = 0, we obtain: %3D n=D0

Q: What type of DE is the following? xydx + (x2 – 3y)dy=0 O Bernoulli in x Bernoulli in y O Linear in x…

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A: To solve for x

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A: Topic:- limits

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Q: (1- sin@) ) (1-sini (It sine

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A: Since you have asked multiple questions in a single request, we would be answering only the first…

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A: Topic:- application of derivatives

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Q: 16X

A: Since you have asked multiple question, we will solve the first question for you as per our guide…

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A: We know, ddxlog(x)=1x ddxu(x)v(x)=v(x)u'(x)-u(x)v'(x)v(x)2 log(ab)=log(a)-log(b) log(a)n=n*log(a)

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A: Use the substitution and then partial fraction to solve the integration.

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A: Solution:

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A: We need to find limit.

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A: Given: xdydx=y+x2-y2

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A: As per the guidelines, we are supposed to answer only one question at once. Kindly repost the other…

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A: To evaluate the given integral

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A: Given problem:-

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A: We have to find the right hand Reimann Sum.

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A: Given

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A: Use range of cos x which lies in -1 and 1

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A: Topic:- function  Note :- as per our guideline if more than one question uploaded than only first…

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A: Let's find.

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A: Apologies for the inconvenience. The solution is: yt=-1+5t3e-13t [used t place of x in the original…

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A: Limits

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A: To eliminate the arbitrary constant.

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A: Topic = Integration

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Q: Change from spherical coordinates to rectangular coordinates $ = 6. O z2= 3(x² + y²) O z2= 3(x²…

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A: integration

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A: To Find : Values of the given functions.

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Q: Differentiate y = sin¬' (sec(4x²)) A. 8x tan(4x²) sec(4x²) y' V1 - sec2 4x² В. 8x tan(4x²) sec(4x²)…

A: Given query is to find the derivative of the expression.