Evaluate the indefinite integral. (Use C for the constant of integration.) x + 45 dx

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Q: 1 Find the sum of the following convergent series: > L n? – 3n + 2 - n=3

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Q: dx b. (x² + 1)(x² – 2x + 1) -

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Q: 4 (3x – 4)³ dx = f(u) du a where (enter a function of x) dx (enter a function of x) = np (enter a…

A: ∫343x-43dx  ---->1Substitute u=3x-4Differentiate du=3dxSince u=3x-4Substitute x=3u=3(3)-4u=5So,…

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Q: A particle moves along the x-axis with velocity given by v(t) = 6t2 – 18 for time t > 0. If the…

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Q: Use implicit differentiation to find y′ and then evaluate y′ at ​(3​,10​).   4x3−y2−8=0…

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Q: Determine whether the pairs of the functions are linearly inde- pendent or linearly dependent on the…

A: NOTE: Refresh your page if you can't see any equations. . take derivative

Q: A ski resort has a lift from A to C, as shown in the figure below. Angle DAC measures 40°. Mountain…

A: Solution: Given:  ∠DAC = 40°So, ∠BAC = 180° - ∠DAC ∠BAC = 180° - 40°∠BAC =140°

Q: Problem 2 For each of the following, indicate the proper equation for work: Constant Pressure…

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Q: Find the sum of the convergent series below. Show complete solution

A: This question is related to infinite series, we will solve it using given information.

Q: Question A street light is at the top of a pole that has a height of 20 ft . A woman 4 ft tall walks…

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Q: Suppose (2,1) is a critical point of a function f (x,y)· If D=4x – 5y and f=x+y, XX classify the…

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Q: (10re", 2.r3 + 3.r² – 12.r, r>0 I<0 Given: ƒ(x) (a) Identify all critical numbers of f. (b)…

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Q: If z=x²sinh then дхду O A. (-x³– 3x²y+2xy² – 32x) / 16+x²- 2xy + y² (16+x²-2xy + y²) ² O B. (x³–…

A: Given  z = x2 sinh-1x-y4 We have to find  ∂2z∂x∂y.

Q: (r² – 25)5/2 2.

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Q: sech³(2x) sech (2x) C. OD. + e2+e-2r 3 10

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Q: Ex If 3=Nメ+J文 3-(x「x)文 find ý (de)

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Q: If f(x) = 4° + 81log4x. then = f'(2) (Answer accurate to 2 decimal places.)

A: Given  f(x) = 4x + 81 log4x We have to find f'(2).

Q: Exv3x² + 4 dx %3D 1 (3x² + 4)v3x² + 4 +c 3

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Q: CONVERGENT

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Q: A tank contains 180 liters of fluid in which 10 grams of salt is dissolved. Brine containing 1 gram…

A: Let the amount of salt in grams at time t be A(t)We have given the initial amount of salt in grams…

Q: Determine whether the following series converges or diverges. If the series converges, determine the…

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Q: 5. If two chords in circle O, MN and XY, intersect at P then ZMPX = 2( MX + NY). 6. If two chords…

A: 5. The given statement is false .

Q: Determine the derivative of each function using the limit definition. 1. Y = 2 – 7.x

A: Topic = Derivative As per guidelines , At  a time only one question can be answered out of different…

Q: The radius of convergence of the series 2 (n!)2 (x– 2) ² is equal to n=1 3" (2n)!

A: Given series ∑n=1∞   (n!)23n (2n)!(x-2)2

Q: Find the Maclaurin series for f(x) = 21 e What is the Maclaurin series of f(x) = 21 e*? 00 Σ (Type…

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Q: Given the function f(x, y) = {ln (x2 + 4y2 − 4)} / [x + 1] Express the domain of f as a set…

A: The given function,      fx,y=lnx2+4y2-4x+1

Q: 2 y = cos( x 4

A: answer is in next step

Q: The cost in dollars for removing p percent of pollutants from a river in Smith County is 72700p 100…

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Q: 3. Give the parametric and symmetric equations of the line that passes through the point (4, -3, 5)…

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Q: Question If 4sin 0 – 9 = -7, where 0 <0 < 2n, what are the values of 0? List your answers as exact…

A: We have to find the values of θ.

Q: Q5. Find if y = Vcos x - 7*

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Q: ` log x dx

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Q: Consider the function f(x)=4x+1. (a) Estimate the area between the graph of f and the x-axis between…

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Q: Find the most general antiderivative of the function. antiderivative.) g(u) = 6u + Vū

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Q: Evaluate the following integrals. x³ + 4x² – 2 dx x² (x² + 2x + 2)

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Q: x2 dx (x² – 25)5/2

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Q: Let an = , п> 1 In(2" + 1) Determine if the series E1 an is convergent or divergent. Explain…

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Q: Find the directional derivative of f at P in the direction of a vector making the counterclockwise…

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Q: Find the directional derivative of the function at the point in the direction of the unit vector. 3…

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Q: #iw.3 Find the areas for the following regions: - Region bounded by y =x= and

A: According to Bartleby's policy we are allowed to solve only 1 question at a time. Here's the…

Q: The radius of convergence of the series Σ - (x – 2) ² is equal to ..... ... n=1 3" (2n) !

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Q: Find the general indefinite integral. (Use C for the constant of integration.) x3 + 12), 343 x*+C 2

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Q: Determine if the improper integral In (x²) dx converges or diverges. If it converges, find its valu

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Q: Find all solutions of cos (z2) = %3D (Leave your answers in exact form and enter them as a…

A: Solution of cos(x)=cos(y) isx=2kπ±y

Q: tan-(n) Consider the series 1+n² n=1 Using integral test, show that the series is convergent

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Q: In(tan-1x) dx с. 1+ x² 1

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Q: (x² + 2x) cos(2x) d»

A: Given problem:- ∫ (x2 +2x)cos(2x) dx

Q: 10n2 + 18 Σ 7η2+ 16η+ 21 n=1

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