2n+2 – 3" Σ - 2. Determine 6n+1 n=0

Q: n(n+1)(2n+1) 2.Prove k2 = for n > 1. 6. k=1

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Q: n? O Show that ¬-2n= 0(n²). Show your work and give specific

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Q: find the 4th term of (2n^2-3m)^4

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Q: Evaluate fff. 5y²dV where E is the reqion below x + 3y + 6z = 9 in E the first octant.

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Q: arctan(n) (iv) (-1)". n3 +n +1 n=1 [ Select ] n! 5n n=1

A: Solve the 4 and 5

Q: 0.02x10.05x2 = -0.19 0.03x₁ +0.04x2 = 0.52 ○ X₁ = 5, X2 = 8. O x₁ = 7, 2₂ = 8 O x₁ = 8, 2 = 7 O x1 =…

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Q: 2eln In cos 2t 8 + 2 None of the choices Option 2 2s s2 – 2 s2 – 2 Option 5 Option 3

A: This question is based on Laplace transform.

Q: [3n+ 2 (-1)A In 3n + 6 n=1

A: Express the alternative series test for convergence. If ∑n=1∞(-1)nan or ∑n=1∞(-1)n+1an converges if…

Q: (-2)"+1 n+ 5" (2n)! 2n - n! - n (a) (b) (-1)". n=1 n=1 (c) E(-1)": (n!)'3" (2n + 1)! (d) 5 (-1)"…

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Q: 2. Find the formula of the general n th term . (i) (1,3,5,7,.) (1 2 3 4 (ii) 2 3 45" 11 (iii) 48 16'…

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: 15 Σ (3k +2) K=11   (Find Sn)

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Q: n-1 For all n > 2, 4+ 3n4" – 4n+1 - j=1 9.

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Q: The solution of e² = -2 for n = 0,±1,±2,. is %3D ... Select one: O a. In2 + in(1+n) O b. In2 +…

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Q: (-1)"n2n+1 n=0 32n-1(2n+ 1)! The sum of the series is 3 18 O 9/3 1 18 tan() 3 9 tan Click Save and…

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Q: neN's ;i- n(n+1) 2 JKI Ŝ i - n(n+1) لكل

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Q: :Find the first 3 terms for (1 (-1)*1 (2n – 1)!J n+1

A: We have to find the first three term of the given series.

Q: use gauss's trick to determine R(n)=2+3+4+...+(n-1)+n+(n+1)

A: It is known that sum of first n numbers is n(n+1)2  that is  1+2+3+----+n=n(n+1)2 Gauss trick method…

Q: Ex : Express the Sum o+ 2+4+6+8 in Sigma nata tion. -2

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Q: (-1)"(п + 2) 2n+1(n +1) Compute the exact value of n=0

A: The geometric series formula is ∑n=0∞rn=11-r, where r<1. Simplify the numerator of the given…

Q: 4- 3. m22 = %3D 2. 47° m23 = 5. 52° m24 = m25 = irectionci I Find th

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Q: Find Pr (|w| < 0.2)  where W ~ N (-1,4)

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Q: 2. Let, a1= 3 and for n ≥ 2, an = 2an-1 + 1, express an in terms of n. for n ≥ 3, an = 2an-1+ bn-1…

A: NOTE:- AS POSTED MULTIPLE INDEPENDENT QUESTIONS. WE ARE ANSWERING ONLY FIRST QUESTIONS FOR YOU AS…

Q: (-1)"(n+ 2) 2n+1(n + 1) 4. Compute the exact value of n=0

A: Given series is  ∑n=0∞-1nn+22n+1n+1

Q: nd all values of z for which zª + 2 – i2/3 = 0 and represent them geometrically. |

A: To solve the given equation by using D'Moivre theorem we find the point. The 4 value of z satisfy…

Q: cos(n") In(4) 1. 1 2. n In(n) n%3D 6n + 3 (-1)" n=1 1 4. n - 5 3.

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Q: a) ) (tan¬'(n+ 1) – tan-1n Σ n=1 2n+1 b) 32n+1 n=1 2n +3 ) Σ 5n +1 n=1

A: To find whether the series converges or diverges and also their sum .

Q: 4 1 -1 0 -3 -1 0. 0. 1 -4 by using cofactor expansion. 1 4 3 -2 5 -3 1

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Q: 3. Find a closed form for sn = i-1 (15 — 5і). Sn (3 – 8i). 4. Find a closed form for sn = i=1 Sn ||…

A: close form is given below

Q: (-1)"(n + 2) 2n+1(n + 1) Compute the exact value of n=0

A: The ratio test can be used to assess if a series is converging or diverging. The following are the…

Q: 7 45 and fourth term of (3x -) 6. Find the product of expressed 2 as P.

A: The complete solutions are given below

Q: 2 1.5 0.6 09 1.2 Reason for similarity?i * SSS- * SAS- H AA 1 NNS

A: SSS (Side-Side-Side) SSS Similarity Theorem: If all three pairs of corresponding sides of two…

Q: 2 -1 2 3 0 1 5 1 -2 03 -2 -4 1 6 7. Check your answer in item 6 using Cofactor expansion. 1

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Q: 5- 3 9-22 Evaluate the integral -3 ! VP +y*dydz. a) b)3n c)9n d)27x e)81x 10 a

A: The equation of a circle(in cartesian coordinates) centered at (h,k) and having radius r is given by…

Q: 5-4cos(n) %3D and bn 9. %3D n2 Let an n2+1

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Q: (-1)" (n+ 2) 2n+1(n + 1) Compute the exact value of

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Q: Rewrite -5sin(x)-6cos(x) as Asin(Bx+C) (B  (round A & C to 2

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Q: Find a formula for Sn, n > 1, if sn is given by 6 7 3' 5' 7' 9' 11 4 8 - Sn =

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Q: Putting •7/2 •7/2 In = cos2"0 de and Jn = 0? cos2"e de for any non-negative integer n, show the…

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Q: 2) al X, X2 ,-.,Xn ~lid exporentíal ( 4 100/ b) Xg, Xz,=-- Xn~íid N(44i 44)=) 9= E Xi ~ ? %3=…

A: It is an important part of statistics. It is widely used.

Q: (In 2x)' In V k.

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Q: 00 (1) 2n 27. n=1 А. 2 В. -3 С. D. Е. Divergent

A: (27). The sequence is defined by To determine : The value to which the sequence converges.

Q: 2+4+... +n lim 7n2 + yn

A: limn→∞2+4+....+n7n2+n

Q: 5n+7 Find supremum of A :|n E N 4n+12

A: Given set isℝ A = 5n+74n+12 | n∈ℕ We know that a number u is the supremum of a nonempty subset S of…

Q: n +1 5n An bn n + 2' 4n2 – 3' { 400/n -1/(400n2) n even { Į 7 n/(1+n²) 1 901 п оdd Cn dn

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Q: -25 (1+j2 Show that (3+j4 2- = 57 + j24 -j - 2

A: The expression to be proved is  -2521+j23+j4-2-j5-j=57+j24

Q: (b) Show that V n 20 > (2i +3)3' = (n+ 1)3"+1. i=0

A: To Show- Show that ∀ n ≥ 0 ∑i=0n2i + 33i = n + 13n+1.

Q: 3k +1 a) Let ak = 2k Find ak k=1 (– 1)" b) Let b, n2 + 1 2 Find bn n=0

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Coordinate Geometry

Coordinate geometry, also known as analytic geometry or Cartesian geometry in classical mathematics, is a type of geometry that is studied using a coordinate system. Coordinate geometry is a branch of mathematics that describes the position of points on a plane using an ordered pair of numbers called coordinates.