8n5 + 3n Let an no +7 (a) Determine if the sequence an is convergent or divergent. O Convergent O Divergent (b) Determine if the series an is convergent or divergent. n=1 O Convergent O Divergent

Q: x+1 For the function g(x) = , 2 a. Determine the equation for any vertical asymptotes, if there are ...

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Q: Classify the series as absolutely convergent, conditionally convergent, or divergent. 2(-1)*+1_k+ 10...

A:   ak =(-1)k+1 k+10k(k+11) {bk} =k+10k(k+11)bk - bk+1 =k+10k(k+11)-k+11(k+1)(k+12)=k3+23k2+142k+120-k...

Q: Question * The derivative of the function y = x(tan¬1(3x))² is:

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

A: Taylor series of function fx at a is defined as:       fx=fa+f'a1!x-a+f''a2!x-a2+f'''a3!x-a3+…=25+dd...

Q: B) Find for the following function: X + tan(xy) = 0 dx

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Q: Find the radius of convergence of the power series. (If you need to use co or -00, enter INFINITY or...

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Q: Solve the given differential equation by separation of variables. dy ху + бу — х — 6 - - dx ху — 5у ...

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Q: (4-x² f (x, y, z) dy dz dx

A: Please see the below picture for detailed solution. 

Q: Write the first five terms of the sequence: (17 ln n +00 n=1 Determine whether the sequence converge...

A: The given sequence is 17ln(n)nn=1+∞. We have to check whether the sequence is converges or not. A re...

Q: Find the indefinite integral. (Use C for the constant of integration.) sin4 20 de

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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: View Policies Current Attempt in Progress Use the ratio test for absolute convergence to determine w...

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Q: Question 3 Determine whether or not each of the following sequences is (i) bounded, (ii) monotone, a...

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Q: 4. Determine whether the planes are between them. 2x – 3y + 4z = 5; x+ 6y + 4z = 3 parallel, perpend...

A: This question can be solved using the concept of angle between two planes.

Q: Question * Using integration by parts, the integral Sxsec(2x) tan(2x) dx is equal to:

A: The integration of the integral is xsec(2x)tan(2x).

Q: dX; = X;(ydX, + tdt), d Хо 3D 1.

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Q: 11. Simplify the following function by rewriting it as one fraction. (Your final simplified result s...

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Q: 9)6

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Q: 2х — 4 f(x) = n = 4 x + 1 P4(x) = Need Help? Read It

A: We will find the mclaurian polynomial. 

Q: Use the difference an+1 – an to show that the given sequence {an} is strictly increasing or strictly...

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Q: a) f(x) at x = 0 b) fx) 3x at x = -4 X-7

A: a) f(x)=6x at x=0b) f(x)=3xx-7 at x=-4

Q: Q5) A) Graph the curve Y = - 2 x (x -4)(x + 6)(x - 2) between the value of x [0, 4), then find the a...

A: The curve y=-2xx-4x+6x-2 between the value of x∈0, 4

Q: Verify that the indicated function is an explicit solution of the given differential equation. Assum...

A: We have to verify that y= e-x/3is the solution of differenital equation 3y'+y=0  

Q: (a) If f(x) = V3 – x, find the inverse function f. %3D

A: Topic = Functions

Q: ) de 1 cos330 cos830. sin³30

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Q: Solve the given initial-value problem. The DE is a Bernoulli equation. y1/2 dy + y3/2 = 1, y(0) = 16...

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Q: What is the slope of (5, -3) and (-1, 6)

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Q: Find the domain of the vector-valued function. r(1) =In(1– 1)i+v4-1j O (-1,4] O 14,-1] O 1,4) O (1,4...

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Q: dx For the integral which of the following options is correct? -1 (x-1)3 (A lim 3(x-1)3 w--1 B lim 3...

A: Qe will ise basic definition of integration to solve the given problem.

Q: Q5) A) Graph the curve Y = - 2 x (x - 4)(x+ 6)(x- 2) between the value of x [0, 4], then find the ar...

A: y=-2x(x-4)(x+6)(x-2)Interval: 0, 4Y-intercept:(0, 0)X-intercept:(0, 0), (4, 0), (-6, 0), (2, 0)   Fu...

Q: Q3) A) Graph the two equations and find the points in which graphs intersect x+y = 0, y= -(×TDÍA UNI...

A: Given

Q: Find the distance from §= (1,1,5) to the line L: x=1-1, y=2-1, z=31.

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Q: find the nth Maclaurin polynomial for the function in sigma notation. 11 cos(Tx) po(x) : P1(x) : P2(...

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Q: By completing the square, dx the integral S is equal to: (x+5)Vx²+10x+21

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Q: (0) E sin ) sin 2(n+ 1) - n=1

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Q: Find the domain of a function of the form f (x) = va – x².

A: Given function:- f(x) =√(a-x2)  To find:- Domain of given function f(x) 

Q: Find the radius of convergence and the interval of convergence. 00 (z+ 6)* k=0 Radius of convergence...

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Q: Tutorial Exercise Find the indefinite integral. sin 70 V cos 70 de Step 1 To solve the integral sin ...

A: Given problem:- ∫sin3(7θ) √(cos(7θ)) dθ  

Q: QS) A) Graph the curve Y-- 2x (x - 4)(x + 6)(x - 2) between the value of x (0, 4). then find the are...

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

A: We will check at each point of interval to determine the continuity or discontinuity.

Q: Answer and give a brief (1-2 sentence) explanation for each of the following questions. (a) Suppose ...

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Q: Find the derivative of the function. y = xe¬x/ y' = %3D

A: ddxxe-x7  

Q: We found that the power series converges on the interval (1, 5), but the ratio test is inconclusive ...

A: Radius of convegence of the power series,  ∑ak(x-c)k, k ranges from 0 to infinity is given by, 1/R=l...

Q: Consider the following differential equation. (25 - y?)y' = x2 x2 Let f(x, y) Find the derivative of...

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Q: Find the slope of the line tangent to the curve y = sin x at the point where x = 3

A: Given: y=sin5x To find: The slope of the line tangent to the curve y=sin5x at the point where x=π3

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

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Q: 48. Use spherical coordinates to evaluate y'Vx +y +z dz dx dy

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Q: ) Evaluate the following integral: S V2 + sin 3t cos 3t dt

A: We have to find solution of given integral.

Q: y y 12 12 10 8 6 4 2 21 X 2 4. 8 10 12 4 (d) Show that the slopes of the graphs of f and f are recip...

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Q: X+イ (X+6x+3)

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