Find the nth Maclaurin polynomial for the function. 5x - 1 f(x) = n = 4 %3D x + 1 19 Pa(X) = %3D Need Heln? IRed It

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A: The objective is to use alternating series test to show the convergence of the given series.

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Q: 2. In each of the following, find fyzz, fryx, fxyz. 2. f(x, y, z) = lIn(xyz) + 2² tan¬'(e"Y)

A: I am attaching image so that you understand each and every step. Note:-  2nd subpart is more complex...

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A: This is a integration problem

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A: Given 

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Q: C) Replace the following polar equation by equivalent Cartesian equation. rsine Inr + In cose %3D

A: We can replace the given polar equation by equivalent Cartesian equation as below.

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A: find inverse laplace transform ?

Q: dx The integral can be rewritten as - X (a) lim (-2 + 2V1-s) (b) lim (-1+ 2v1 -s) S-00 00--S (c) lim...

A: First we solve integral, put √1-x=t  And follow step 2nd . 

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A: Given: Create a bucket by rotating around the y-axis the given curve, y=3lnx-1 from y=0 to y=10 Dens...

Q: 16. u du Form Answer .Given: S 10% -dx а) 3 | а" du Find: formula b) | a"du c);| a*du d) =| a"du

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Q: Find the interval of convergence of the power series. (Be sure to include a check for convergence at...

A: The objective is to find the interval of convergence of the series. 

Q: Use the binomial serles to find the Maciaurin serles for the function. 1 f(x) - (1 + x) Σ (x) = %3D

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Q: Find the interval of convergence of the power series. (Be sure to Include a check for convergence at...

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Q: Exact Equations (w3 + wz? – z) dw + (23 + w²z - w) dz = 0 O (w? + z?) = 4wz + c O (w? + 2?) = (4wz +...

A: Given the exact differential equation(w3+wz2−z)dw+(z3+w2z−w)dz=0

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A: In this question we have to solve the following question.

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A: Power substitution  is a  method of integration that aims to replace the nth roots in a function, wh...

Q: Question 2 Which among the following is an improper integral? 2 1 dx x[In?(3x) – 4] Inx dx le? x[In*...

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