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Q: (-1)" Given: power series (x + 1)" 2n2 + 5 n=1 ii. Find the interval of convergence of the power…

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Q: Calculus

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Q: x + 2, untuk x 3 The following statements are true, except x + 2, untuk x3 Pernyataan dibawah ini…

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Q: Given cos(x) = (-1)" n=0 (2n)! -x2n for all x ER, Express the integral cos x dx as a power series.

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Q: In(arctan(x)) dx 1 + x2 1

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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: 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: Write the partial fraction decomposition of the rational expression. Check your result…

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Q: Determine whether the following series is conve rgent or divergent. (1.) 37 (use Integral Test.)…

A: Let's find.

Q: Function f(x) = 3x4 – 4x3 – 12x2 + 5 increasing on interval ... Fungsi f(x) = 3x4 – 4x3 – 12x2 + 5…

A: We know that a function f(x) is increasing on the interval , if for every point in the interval…

Q: +o0 In(tan -1 x) dx 1+x2 1

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

A: To find the values of a and b that will make the function continuous everywhere.

Q: n Vy(x- y) + y² + 6

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Q: Solve for the general solution of the following differential equation and determine whether it is…

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

Q: Determine whether the series is convergent or divergent. (-1)"3"² En=1 2 -1

A: An absolutely convergent series is convergent. P-Test: The series ∑n=1∞1np converges if p&gt;1 and…

Q: Solve for the following integral: 1 -dx (e2x – 4)5/2

A: I=∫1(e2x-4)52  dxu=-2xdx=-12 duI=-12 ∫due-u-452v=e-u −4dv=-e-u du-dv(v+4)=duI=12∫1v52 (v+4) dv

Q: Vx² – 4 dx

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

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Q: Suppose f(x) is a function that satisfies the following conditions: f(15) = 20, f' (15) = 2. Also…

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Q: Given the integral of S cos² x dx,

A: O integrate the given function.

Q: +oo (-1)"n" sin" () ' Σ 2n n=1

A: According to question,Given series,∑n=1+∞-1nnnsinn1n2n

Q: I. Evaluate the following integrals. 1. / 20- dx 2 x)5/2" x(9 – In².

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Q: (b) S 3X5V1– 2x³dx -

A: Given,             ∫3x51-2x3dx

Q: Solution of lim (Vx² +1 – x) is ... x→ 00 Tentukan lim (vx² + 1 – x) x→00 1. O 1 2. O infinite 3. O…

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Q: x² - 25 The antiderivative of - dx is x2 -25 - sec-lx+ C. A True (B False

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Q: dy y dx when y = 1 and x = 1 in terms of %3D

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Q: du 2. f 1-cos? 2u

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Q: Using Lagrange multipliers, find three positive numbers whose sum is 9 and such that the sum of…

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Q: Question 2:- Applying the properties of logarithms to simplify expressions a. logs 8 + logs 1 b.…

A: This can be done as follows:

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: 10. [ tan 0 de 12.f cos do 3

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Q: x° – x + 2x –2 dx 3 ?6 -2х + 2) X

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

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Q: Given: Em 00 tanm tan m+1) q. Find the Sum of this Convergent series.

A: Given that ∑m=1∞1tan-1m-1tan-1m+1Solution…

Q: tan- (n) Σ Consider the series 1+ n2 n=1 Show that the given satisfies the condition of integral…

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Q: Determine whether the following series is convergent divergent. or (-1)"3n² 4n2–1 n=1

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Q: In Sx-/25+> 25+ x2 dx , we let x = 5sine. (A True B False

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Q: ¥2/3 6. cos'x sin x dx 5.

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Q: xdx S- can be solved by either algebraic subsitution or integrataion by parts. X-1 A True B) False

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Q: (x+ 1)" of constant terms when x= 0 cent.

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Q: Determine whether the following series is convergent or divergent full solution pls and write what…

A: Let's find.

Q: an = In(n+1) – In(n) for n EN determine if the following is convergent or divergent { an } n=1

A: Solving

Q: +oo Consider the power series 22n (2x – 1)". n=1 Determine the radius and interval of convergence of…

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Q: Sllerch the graph of the 18r=4sine given polacequations

A: Given

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

A: u x v = u x w v = w but u is any other value so  v = w + ku

Q: Solve for the general solution of the following differential equation and determine whether it is…

A: Note : As per our guidelines we are supposed to answer only one question if there are multiple…

Q: Test for exactness and find the general solution of: (cos2y – 3x²y²)dx + (cos2y – 2xsin2y – 2x³y)dy…

A: To solve the following differential equation

Q: eries 1)" 2 + 5 rmine if the resulting series of constant terms wh ely convergent, conditionally…

A: We have to find the following conditions according to the given information

Q: 6a2 + 23.x – 9 The antiderivative of f (a) = is F (x) = a ln (æ + 3|) + bln (lal) +d In (r – 1|) +C…

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