22n Σ (2л — 1)". - Vn² + 1 3 n=1 Use limit comparison test to show that the given power series is divergent for 5/8.

Q: 1Evaluate the ff. integrals using either integration by pants, trigonometric integrals , trig on o…

A: As per guidelines of bartleby, we are instructed to solve only first 3 subparts of a problem.

Q: If u + v + w = 0 and Ju = 3, |v = 5, |w| = 7 then the angle between u and v is O 21 3 O 5n 3 O None…

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Q: VIII. Use the 3rd Degree Maclaurin polynomial for g(x) = x COS to approximate the value of 0.2…

A: By using the 3rd Degree Maclaurin  polynomial for gx=x cosx2 to approximate the value of 0.2 cos0.1.

Q: If uxv=uxw, u 0 then O None of the choices O v=w+ ku u=v+ kw O w=u+ kv

A: Let a→ & b→ be two non-zeros vectors. Then a→ & b→ are parallel if for some scaler k we have…

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Q: Find the derivative. f(x) = 2^x {ln[cot(x)]}^2

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Q: Find the directional derivatives of Ø = x2yz + 4xz2 at ( 1, -2, -1) in direction 2ax – ay – 2az.

A: Answer is in step 2.

Q: (cos2y — Зx? у?)dx + (сos2y — 2xsin2y — 2x3y)dy %3D0 - |

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Q: Silerch the graph of the . given polarequations

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Q: х2 — х — 2 lim х-2 х2 + х — 6 1. О 1 2. О 4/5 3. О 3/5 4. О 2/5

A: To evaluate: limx→2 x2-x-2x2+x-6 First factorize the numerator and denominator

Q: ralue of (2) for z= 2.36. (note: use 2 decimal places)

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Q: Find dy/dx: a. 3x? – (xy²)/2 = 2y³ b. y = (cosx – nx)^**

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Q: 1.5 (3-x Evaluate the integral L* dy dx using polar coordinate

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Q: In item number 5, the integral of Sx3 dx is obtained by applying what Basic Theorem of…

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Q: (-1)" V2n2 + 5 n er series (x + 1)" n=1

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Q: If substitution technique is used to solve the integral |(12x+3x*)(10x² +x° – 2)´ dx then the -…

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Q: x° – x + 2x –2 dx 3 ?6 -2х + 2) X

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Q: Find the sum of the convergent series. 1 n vn + 1. n=16

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Q: (-1)" V2n2 + 5 Given: power series (x+ 1)" n=1 Determine if the resulting series of constant terms…

A: To solve the following problem

Q: Determine whether the following converges or diverges. 2n + 1

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Q: 3. 2+ 1+ +++ ++ + 2m -2m

A: Answer : y=5sin(x/3)

Q: Direction: Find the antiderivatives of the following functions using substitution rule. 1. S(5x +…

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Q: CoS cos³ 0 5./ d0 1-sin0

A: Given problem:- ∫cos3(θ)/(1-sin(θ)) dθ

Q: Compute the value of the improper integral. (If the integral diverges to oo, type o0; if the…

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Q: If f(x)=2x²- xª, then f(x) has... Jika f(x)=2x²- xª , maka titik ekstrim relatifnya adalah.... 1. O…

A: f(x) = 2x2 - x4 we have to differentiate function and find points f'(x) = 4x -4x3 f'(x) = 0 4x -4x3…

Q: Find an equation of the line that is tangent to the graph of f and parallel to the given line.…

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

Q: If f(x)=sin(sin x) then f'(0) is .. Jika f(x)=sin(sin x) maka f'(0) adalah ... 1. O -1 2. O 1 3. O 0…

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Q: In(arctan(x)) da 1+ x² 1

A: Given that a integration and we solve this integration by using general formula of integration.…

Q: TOPIC: Partial Fraction Decomposition 1. J: 2х3 —х2+2х-2 dx (х2-2х+2)x2

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Q: 5) S dy 5.)

A: The given integral,      ∫28-y2dy

Q: 1 S. xV x¯ – 4

A: => i have provided this answer with full description in step-2.

Q: S (2x² + 3)dx S(5 +) dx 4.) 5.)

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Q: Based on figure below, we get some information: Which of the following statements are true? Gambar…

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Q: 2y 7. 3. Evaluate ST (r+y)dx dy. 32 A) 3 64 C) 3 16 B) 32 D) 3

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Q: y = [Arcsec(tan r)]ecsc 2r SC

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Q: 2 f(x) ; а3D0, Ь%3D1 1+ x %3D

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Q: 24 3y7 ts dy

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Q: rsincr3) drdo

A: To evaluate ∫0π3∫θπ3r sin(r3) dr dθ So, the region of integration is bounded by r=θ, r=π 3& θ=0,…

Q: { II. Consider the sequence í n+ 2)! J n=1 a.) Show that the given sequence is monotone. b.) Use the…

A: Here, the given sequence is: πn(n+2)!n=1∞ Let, an=πn(n+2)!

Q: ax²-3 -,х> 1 x-1 Value of a and b that will make f (x) = continuous everywhere are ... lbx + 2, х <…

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Q: а a а а а а а а 00 a a 0 0 a a a 0 00 0 а

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Q: Let graph (x) as below: -6 Solution of lim f(x)is.... x→0* O -2 O 3 O -3 O 2

A: Consider the graph of f(x)

Q: Find the derivative of f (x) = 4x-10x2+ 8x-2

A: To solve the following problem

Q: + inf 1 п2 — Зп + 2n n=3

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Q: Find rdr 2/2- 27 eVE - 27) Option 1 Option 2 Option 3 None of the choices

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Q: 2. Use integration by parts to evaluate the following. (b) S 3x³V1– 2x³dx -

A: Let 2x3=t then solve it.

Q: 0/ using the test comparing the series Enas n?_2n-3

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Q: (b) S 3x5V1 – 2x³dx -

A: Given,              ∫3x51-2x3dx

Q: an = In(n+1) – In(n) for n E N determine if the following is convergent or divergent Σ an n=1

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Q: EVALUATE THE LAPLACE TRANSFORM OF THE GIVEN FUNCTION USING APPROPRIATE THEOREMS. S(t) = t2 + 3 t".…

A: Given  Laplace transform