Use the comparison test to verify that the following series converges: 1 Σ n =15+n4

Q: Compute the first four partial sums S1, .., S4 for the series having n th term an starting with n =1…

A: In this question we have to find partial sum.

Q: Determine whether (6x+y^2)dx + y(2xy-3y^2)dy = 0 is exact or not.

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Q: What is the area of the region bounded above by y = 2x and below by y = X on the interval [0, 3]? 8…

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Q: of the curve defined by x=3t-t anc

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Q: The other type of question in chapter 7 is solving trigonometric equation. We will not be practicing…

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Q: Verify that the two planes are parallel. -x + 6y + 3z = 8 1. x + 2y + z = 9 Find the normal vector,…

A: Let's find.

Q: From what I know when I was teaching high school students, they tend to use the so called "Two…

A: Let's find.

Q: 4. y = sec*e - tan*e

A: As per our guidelines we are supposed to answer only one question. Kindly repost others question as…

Q: Let F = (5x,9x, 4) and G = (4,9x, 5). Calculate curl(F). (Give your answers using component form or…

A: The given functions are F=(5x,9x2,4) & G=(4,9x,5)

Q: Find the area of the region enclosed by the rose r= 20 cos 30. NOTE: Enter the exact answer. A %3D

A: Solution is given below:

Q: Simplify the expressions below as much as possible. Leave no negative numbers under radicals and no…

A: Find your answer below

Q: Determine if the series converges or diverges without using the different tests discussed in Lesson…

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Q: Derivatives: using (4 step rule). 4. f(x)=sin3xcos3x 5. f(x)= x² cos(x² +1)

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Q: If A and B are similar, then there exists a matrix P such that Bk = P-1AKP., Use this fact to find…

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Q: Eliminate c from the equatia cxy + c²x + 4 = 0. O x* (y')? + x?yy + 4 = 0

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Q: d Calculate ri(t) r2(t)] and ri(t) x r2(t)] first by differentiating dt dt the product directly and…

A: The given problem is solved below in detail.

Q: y ~ y=x+1 x=4 y=0

A: Given: Now find the x-intercept of the line y=x+1. y=x+10=x+1x=-1x,y=-1,0 Now taking an elementary…

Q: 1 ut du. 8 13

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Q: In R³, consider the triangle formed by X (2,0, 4), Y (0,5, 0) and Z (-2,0,0). Us- ing vector and…

A: Let's find.

Q: Jx + 2x f(x)=- 7х — 4х? 8.

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Q: The geometric series 4 5-2+ 5 16 + 25 8 32 125 625 is convergent. true false

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Q: 2x) dx Find an approximation to the integral using a Riemann sum with right endpoints and n = 8.

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Q: 2 -1 1 2 -2 3.

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Q: Determine if the given sequence converges or diverges. If it converges, what is its limit? 5+ 3n3…

A: As you have asked for the solution of questions a -c only. So I am solving those only. Thank you.…

Q: If f(x) and g(x) are continuous functions, then Sra)• g»] dx = [ f«x)dx• [ g(x)dx.

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Q: dz (b) Determine the by using the Chain rule with the following information: ds 2 X = - s2 2 7 z =…

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Q: EVALUATION. Do as indicated. Write TRUE if the statement is true otherwise write FALSE. 1. The given…

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Q: 8. xy +y2 - x2y' 0

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Q: Use limits to determine all the linear asymptotes of Зд? — 5 if r1. a² + 2x – 3'

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Q: (b) Find the distance from D to the plane containing A, B, and C. NOTE: Enter the ezact answer.…

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Q: Find the length of arc of the given curve.

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A: We have to check convergent of series

Q: 2. For each of the following, state whether the equation is ordinary or partial, linear or…

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Q: 5) (x3 cos 9x dx

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Q: valuate lim v9x² – 5x + 3x

A: Given: limx→ -∞ 9x2-5x+3x

Q: (e) Alternating Series Test: Σ (-1)"-2 3n + 3n

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Q: a) Find the fifth term of the sequence

A: Part a,Given,           The sequence is 169,3115,4621,6127,.....To find : Find the fifth term of the…

Q: 10. On a typographic map, the contour lines show changes in elevation of the land. You and a friend…

A: a) From the figure I have an elevation of 200 ft and the elevation of my friend is = 800 ft. So the…

Q: Consider the function f(z) =1-4x on the interval -4, 5]. Find the average or mean slope of the…

A: f(x)=1-4x2f(5)=1-4(25) =-99f(-4)=1-4(16)=-63The average or mean…

Q: B a12 16 Havithmetis sequence first tom anas and its hasis r= -2 its seven the termay?? 2-17 O az217…

A: Answer -  a1 = 5 Difference (r) = -2 Find 7th sequence

Q: Find a and b such that v = au + bw, where where u = (1, 2) and w = (1, -1). %3D %3D v (0, 6) %3D b =

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Q: Find the following. (0, 1), v = (5, -3) U = (a) ||배 (b) ||v|| (c) |u + v||

A: Explanation of the answer is as follows

Q: 1 Evaluate lim Gnx x→1+ 'Inx х-1

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Q: A block of mass m = 2.00 kg is attached to a spring of force constant k = 410 N/m as shown in the…

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Q: Find the vector v with the given magnitude and the same direction as u. Magnitude Direction I|v|| =…

A: The objective is to find the vector v.

Q: Find the arc length of the graph of the function over the indicated interval. (Round your answer to…

A: Given functionf(x)=32x2/3differentiate w.r.t.xf'(x)=32*23x23-1f'(x)=x-13f'(x)2=x-132f'(x)2=x-23we…

Q: ders of integration. Use the more convenient order to evaluate the integral over the plane dA unded…

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Q: Consider the following. u = (2, -1, 0) v = (-2, 3, 0) Find u x v. Determine if u x v is orthogonal…

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Q: Convert the point (r, 0) from Polar to Rectangular Coordinates (x, y). 1. (3, 7/6)

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Q: Find the mass of the sphere x2 + y2 + z2 = a2 where the density at any point is two times the…

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