Find the radius of convergence, R, of the series. n = 1 5,יל R = Find the interval, I, of convergence of the series. (Enter your answer using interval notation.) I =

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Q: . Using integration by parts: prove that ſ In u du = u In|u| – u + C %3D

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A: This question is based on vectors and parallelogram properties.

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Q: 1. SSin³ 3x Cos² 3x dx 2. JSin* 2пу Сos$ 2пy dy 3. JSin8 3пx Сos83пх dx 4. STan“ x dx

A: 1) Given:        ∫sin53x cos23x dx Using powers of sine and cosine :      substitute u=3x→dudx=3→dx=...

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A: Given query is to find the indicated integral.

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Q: ax+b The function f is defined by f (x) = , for x E R, x # - %3D cx+d' Find the inverse function f1,...

A: Given: Now,               y=ax+bcx+d⇒ycx+d=ax+b⇒cxy+dy=ax+b⇒cxy-ax=b-dy⇒xcy-a=b-dy⇒x=b-dycy-a;   a≠...

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A: As per our guidelines we are supposed to answer only one question. Kindly repost others question as ...

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Q: 5 + 4x 35. у - %3D х+3

A: Find where the expression 5+4x/x+3 is undefined.   At x = -3 function is undefined    n = m = 1

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A: Heren the given series is: ∑k=1∞(-1)k+1k22k+1  

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A: Here, the given demand function is: x=4900ln(25p2)+6500⇒x=4900ln((5p)2)+6500⇒x=4900(2) ln(5p)+6500⇒x...

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A: Given :a=ci+jb=3i+4jangle =π6

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Q: Find the general solution of the equation: y" - y' - 6y = exp(-x) - 7 cos x %3D

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Q: 1. Consider the parallelepiped with adjacent edges u = 6i + 4j + 2k; v= 2i + 2j + 4k; w = 2i + 6k + ...

A: To answer the given questions using the given details.

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Q: Given: 1. v = 2i – 4j + V5 k, u = –2i + 4j – V5 k 2. v =i+k, u = 5i + 12j - 3 Find: a. u·v, [v|, Ju|...

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Q: Write the sum using sigma notation: 1+2+3+4 + ..+ 97 = B, where n=1 A = B = ||||

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Q: Graph the piecewise-defined function. x-3 if xs5 f(x) = 2 if x>5 Choose the correct graph. D. OA. B....

A: The detailed solution is given below Thank you