Find the radius of convergence of the power series. (If you need to use co or -co, enter INFINITY or -INFINITY, respectively.) 00 x5n (5n)! n = 0

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Q: 4. S)(1-x²)dx 5. S(e2t)dt

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Q: 4 5. Find the sum of the series 2 (2n + n³) n =1

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Q: u+1 Using u-substitution, the integral S f(x)dx reduces to a new integral f g(u)du. If g(u) evaluate...

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Q: .2 d 5 1 Зx3 + x2

A: We will evaluate the given integral as shown below

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Q: prove that tanx V secxsinxtanx %3D

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A: Solving the problem by finding the value.

Q: ans ) Find the lengthaf the Projection of the line jeining (-1,2,) ane -19 2) on the Plane 2X-y-27=4...

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Q: " + y = 12 cos 2x - sin x. A. " + y = sin 3x +4 cos x. A

A: Given: y''+y=12cos2x-sinx

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A: see below the answer and explanation

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Q: What is the derivative of (6 x+1)5 (4 x-21)16 (21 x-23)3 (3 x+25)4 y = In with respect to x? [(dy)/(...

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Q: 3T en: S 5x² cos 3x³dx. If u = 3x³, then the resulting integral is S f(u)du. Find f (").

A: Given query is to find the indicated function.

Q: 3. For the series 2 + 6 + 18 + 54 + etc., find; (i) the .... .. 12 term (ii) the sum of the first 19...

A: Question: for the series 2+6+18+54... Find 12 th term  Find the sum of 19th term

Q: The integral / 2' )cos(2*) dx takes the form k cosu du when u=2* and f (x) =x- 5. What is the value ...

A: we use the formula ddx(ax)=ax lna

Q: Evaluate f (22 -1)(z2+3z+2) O a. 구미z+11+ + 흡nz-1-mlz + 21 +C ㅇ b. 글mle+11 + 1 + 습nz-11+ 옮mlz+ 21 +C ...

A: Solving the problem by finding the integration.

Q: 1+ In x Find f (x) so that when u = f(x) the integral dx can be rewritten as cot u du tan(f(x))

A: So our approach in this question by substitution method . We can assume a function u in terms of 'x'...

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Q: Given: S 5x² cos 3x³dx. If u = 3x³, then the resulting integral is S f(u)du. Find f (*):- ... 5/7 5/...

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Q: Determine whether the series is convegent or divergent. If it is Convergent, find its sum. If s an=l...

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Q: The exponential model A = 676.7 e0.031 describes the population, A, of a country in millions, t year...

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Q: For the following function ds find the antiderivative s that satisfies the given condition. dt ds -=...

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Q: ential equation. ect answer below. 5-12 + C

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Q: 4) Verify the identity using the definitions of hyperbolic functions. e2x + 1 e2x – 1 coth x

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Q: Given: S 5x? cos 3x³dx. If u = 3x³, then the resulting integral is f f(u)du. Find f ().

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Q: 1. 4(х- 3) 2. 2x( 2x + 2) 3. Зx(x-4) 4. 4x(x +7) whn

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Q: Evaluate the derivative. 6) f(x) = csch¬1(6/x)

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Q: What is the average rate of change of the functin g(x) = 2x^2 -9 on the interval [4,7]

A: g(x)=2x2-9 on the interval [4,7]

Q: If g(x) = f'(x) and if g(x) = (cos x – x sin x)e* cos x, then S g(x) tan(f (x))dx is

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Q: x2 f(x) Let k(x) %3D x+2 Find k' (-1), given that f(-1) = 3, f'(-1) = –1.

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Q: sec x dx

A: We will evaluate the given integral as shown below we will apply reduction formula to solve the inte...

Q: Determine f(x) so that cos(In²x) f (x) dx = sin(In²x) + C

A: Let t =log2 x and follow step 2nd . 

Q: dx x² 4.x

A: ∫dxx2+a2=ln|x+x2+a2|+C

Q: 8. Let /(x) -x +x + 1 and g(xr)-x-3. Find the following new functions. サー メェx-』 ( 3. f subtract WOLE...

A: As per bartleby guideline I can solve only one question.(8) if you want other solution pls reupload.

Q: dx Vx + x

A: topic - integration 

Q: Find the indefinite integral. sinh(2 – 7x) dx Step 1 First, let u = 2 - x. Now, differentiate u with...

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Q: Let u = 10TX. The differential of u with respect to x is du = 1072 20 7 Step 2 Rewrite the integrati...

A: topic - indefinite integral

Q: Determine which of the following expressions are equivalent. Show your method. Hint: there are two e...

A: Here we will find which expressions are equivalent,

Q: Last month, Kaitlin's average daily balance on her credit card was $1,950.77. The annual interest ra...

A: minimum payment on the card is the interest charge plus 2% of the ending balance or $25, which ever ...

Q: Find [(dy)/(dx)] if the curve is defined by 7 x² e7 Y + 6 y2 e2 x = 16. %3D [(dy)/(dx)]

A: Given:     7x2 e7y + 6y2e2x = 16

Q: (-4x-12) dx For f (x+10)3(x-4)3 F(x) – 1. What is F(3)?

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Q: Evaluate the double integral Jo J-y? dxdy

A: To evaluate: ∫02∫-4-y20dx dy

Q: 3. For the series 2 + 6 + 18 + 54 + ... etc., find; (i) the ..... th 12" term (ii) the sum of the fi...

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