Find the interval of convergence of the power series. (Be sure to include a check for convergence at the endpoints of the interval. If the interval of convergence is an interval, enter your answer using interva notation. If the interval of convergence is a finite set, enter your answer using set notation.)

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A: As per bartleby guidelines we only give first three question answers. 

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A: Here we have to find values of  K,n from the integral after U substitution as shown below

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Q: 2. f(x)= Vr² +x+1 %3D

A: Let's find. 

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A: Given,            fx=lnx , n=4 , c=4To find : The nth Taylor polynomial for the function at n=4, cen...

Q: Find the indefinite integral. 2+ 4x + 3. dx B+ 6x² + 9x + 2 Step 1 du/dx dx Let u = Begin by rewriti...

A: The given integral,       ∫x2+4x+3x3+6x2+9x+2dx

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A: Solution is given below:

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A: Explanation of the answer is as follows

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A: As per Bartley guidelines we are supposed to answer only one question per post. This post contains m...

Q: Determine whether the series converges, and if so find its sum. Enter the exact answer as an imprope...

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Q: A series has n-th partial sum given by sn = 9+2e . Calculate the sum of the series. an n=1 Σ an

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Q: MY NOTES ASIK YOUR TEACHER Consider the following differential equation. (x y?)y - y2 Let (x, y) FIn...

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A: Solution of given integration question is written in below steps.

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Q: A. Find the following limits: 2t2+3t+1 iii. lim 2t-1

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Q: 3. S(x) = (x2/3 – 1)*

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Q: Find the radius of convergence and the interval of convergence. Σ k + 10 k=0 Radius of convergence: ...

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A: Since you have posted multiple questions i can do first question as per our company guidelines pleas...

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Q: 1. An inverted conical tank with 14 m height and 6 m radius at the top is full of water. Calculate t...

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Q: fourth-degree polynomial with integer coefficients that has zeros 3i and –1, wit -1 a zero of multip...

A: To find a fourth‐degree polynomial with integer coefficients that has zeros 3i and -1, -1 a zero of ...

Q: Q5) A) Graph the curve Y = - 2 x (x - 4)(x + 6)(x - 2) between the value of x ( then find the area o...

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Q: 3x2+8x-12 dx x3+7x2+12x

A: As per the instruction, we will be answering only the first question.     ∫3x2+8x-12x3+7x2+12xdx=∫ -...

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Q: Classify the series as absolutely convergent, conditionally convergent, or divergent. (-1)k+1 k7/6 k...

A: The given series is: ∑k=1∞(-1)k+1k76 Let, ak=(-1)k+1k76; k≥1

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Q: Find the Taylor polynomials of orders n = 0, 1, 2, 3, and 4 about x = xo and then find the nth Taylo...

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Q: Show that the function f(x) = 1 – I - x² is continuous on the interval [-1, 1].

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Q: Fill in the table with the correct information by referring to the function f below. The table conta...

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Q: Use the formula for the binomial series: m(m-1).(m-k+1). k! m(m-1) (1+ x)" 1 + mx + 22 + ... + %3D 2...

A: We have to obtain the Maclaurin series for 1+x5

Q: Integrate the following: xdx 1. S x²-x+1 xdx 2. S V9x4-1 dx 3. S XVx-1

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Q: Given 1. In the sequence 0 ,-5, -10, -15, what is the 3rd term? 2. If az = -3, d= 4, what is the 1* ...

A: AP 

Q: inconclusive, then say so. 5* Σ 00 If p = + 0, enter "inty". i The series converges. The series dive...

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Q: Question 1: Differentiate the functions. a) f(x) = 2 – 5cosx +x4 + 3* b) f(«) = +

A: I am attaching image so that you understand each and every step.

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Q: /2 1 - dx J7/3 1 + sin x – cos x 7. .

A: Since we are given with the multiple number of question and our guideline is solve first question on...

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Q: • 2 f(x)dx 2 du There is a function f(x) such that when u= - x°, the resulting integral is Evaluate ...

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Q: the

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