By applying integration by parts, we have Jx° In x dx = x10 In x +10 + C 10 100

Q: Write the first five terms of the sequence: {13a"} ´ 13 In n ] +00 n n=1 Determine whether the seque...

A: {13ln(n)n}The nth term of the sequence isan=13lnnna1=13ln(1)1=0a2=13ln(2)2a3=13ln(3)3a4=13ln(4)4a5=1...

Q: Determine the area and circumference of the following circles. 17. 18. 19. 5 in 5 in 28 cm

A: Area and circumference of a circle

Q: Find the indefinite integral. (Use C for the constant of integration.) 9. dx XV 81 - (In x)2 |

A: Here we will solve the given integral,

Q: Solve the differential equation. 5y' = 4 ex/5 + y + y The solution is y = 4x +C X 5 5 e (Type an exp...

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Q: Write the first five terms of the sequence: 11 ln n) +oo Determine whether the sequence converges, a...

A: To write the first five terms of the sequence.11 ln nnn=1+∞To determine whether the sequence converg...

Q: Solve using the U-Technique Question 1 Consider the integral 2nx g(x) dx . There is a function g(x) ...

A: Given

Q: Use the graph to determine the behavior of the function between the indicated p Behavior of the func...

A: In this question we have to find behavior of the function.

Q: Find the point on the curve y = 23/2 for which the tangent line to the curve is perpendicular to the...

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Q: Find the equation of a NORMAL LINE in SLOPE-INTERCEPT FORM to the given cu below f (æ) = (x² + 1)* %...

A: Note: The normal line is defined as the line that is perpendicular to the tangent line at the point ...

Q: y6_y²+7 h (y) y2+3y

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Q: prove that tanx = V secxsinxtanx %3D

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Q: Car A is traveling west at 50 mi/h and car B is traveling north at 60 mi/h. Both are headed for the ...

A: topic - application of derivatives

Q: Solve the initial value problem:  y'= (3x^2)y+2x^2 ; y(0)=1

A: Given problem:- y' =(3x2)y+2x2 , y(0) =1 To find:- Solve the initial value differential equation

Q: Classify the series as absolutely convergent, conditionally convergent, or divergent. Σ (-1)*+1 k7/6...

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Q: The manager of a large apartment complex knows from experience that 120 units will be occupied if th...

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Q: Consider the following sequence: {an} = {n – n}, Use a+1 - a, to show that the given sequence {a, } ...

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Q: Given: (25(x)dx e-x3 There is a function f (x) such that when u = -x³, the resulting integral is Eva...

A: topic - functions

Q: Evaluate the integral. |a cos(6 z) dz =| %3D

A: Topic:- integration

Q: 1. lim G3th)g

A: Evalute limh→0-3+h2-9h

Q: If the solution to fe sec (ex**)dx is equal to k tan(e**) + C, find the exact value of k 1. 2e 2e (0...

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Q: 12 1. Given that sine and 0 < 0 <", find sin(20) and cos(20) 13'

A: We know in the first quadrant that is 0&lt;θ&lt;π2 both sin and cos take positive values. cos(θ)=±1-...

Q: Find the indefinite integral. J. x cos 107Tx2 dx

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Q: Consider dx and using u-substitution in rewriting the integrand as a function of u and du. x(1+Vx) D...

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Q: Evaluate the integral. 15e cos(2x) dx

A: To evaluate the given integral

Q: - 2y : Sketch in one coordinate plane the circies 2x – 6y + 6 = 0. Then, find their points of inters...

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Q: Problem 2: A piece of string whose length is given below is cut into two pieces. One piece is used t...

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Q: If cotx 12 find the other trigonometric functions

A: topic - trigonometric ratios

Q: 9=1-5t Gas. d= o ans

A: As per the guidelines when multiple question are posted in single pic  then we are supposed to solve...

Q: Solve the initial value problem. ds 281(7? – 5)°, dt s(1) = 12 4 (71² – 5) + 4 The solution is s = 2

A: This is a problem of integration. By using below formula we will calculate integral and then will su...

Q: 6. ху\ + (1+х)y %3Dе*, у(1) — 0 7. sinx y'+2y cosx = sin2x, y : 2 6.

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Q: Find the general term of the sequence, starting with n = 1. Determine whether the sequence converges...

A: Given:

Q: If g(x) f'(x) and if g(x) (cos x - x sin x)e*cosx, then f g(x) tan(f(x))dx is x cosx In(e*cosx) +€ s...

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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: Determine whether the following sequence is convergent or divergent. Justify your answer {Vn- Vn+1}

A: We need to determine that sequence n-n+1 is convergent or not.

Q: Consider the integral 2h* g(x) dx. There is a function g(x) such that when Inx the resulting integra...

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Q: Use the ratio test to determine whether the series converges. If the test is inconclusive, then say ...

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Q: The sum of the series 1 is: A) 1. B) 2. 1 C) D) E) Diverges. A) B)

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Q: dx +x tan y= dy sec y 1+tan

A: The given differential equation is; dx/dy +xtany=secy/(1+tany)

Q: prove that tanx V secxsinxtanx

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Q: prove that (sin?acos?x)(tan²x + cot?a +2) = 1 %3D

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Q: The value(s) ofp for which the series E-1 is (1+n*)-P convergent using the integral test: A) p2 1. B...

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Q: Write the first five terms of the sequence: 11 ln 7n) +00 In n n Determine whether the sequence conv...

A: Given: ∑n=1∞11ln nn

Q: 2 tan(4x-1)-3 cos²(4x-1) If we let u = 4x – 1 for the S dx, what will be the resulting integrand? co...

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Q: (2x² +)x dx (x8 + 4x5 + 4x²)² Using u-substitution and transformation of the integrand, then the pow...

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Q: Let A= [a, b c, d, e) and B=(a, b, c, d, e f g, h). Match the given sets in the left to the sets in ...

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Q: Find dx2 Given: -2xy – 2y² = 1

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Q: equations

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Q: Gravel is being dumped from a conveyor belt at a rate of 30 cubic feet per minute. It forms a pile i...

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Q: Using the limit comparison test the appropriate b, that is used to make the series E In(n) converges...

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Q: Find the indefinite integral and check the result by differentiation. (Use C for the constant of int...

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