Question 3. Show that n3 + 4n2 +1 O(n²). %3D n+3

Q: 2en cos 2t s+ 2 Option 2 None of the choices 2s s2 -2 s2 -2 O Option 5 Option 3 2s s2 +4

A: Given :2eln cos2t

Q: verify the given equation. 16.∞∑n=0an(x−1)n+1=∞∑n=1an−1(x−1)n

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Q: Question 2 Show that P.() = %3D 2n+1 IM:

A: To Show : Show that ∑n = 0∞12n+1Pn12 = 13

Q: 3|n(n+ 1)(n+ 2), Vn E N

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Q: QUESTION 9 In a group of 55 students, 35 students are taking MAT1320 and 42 students are taking…

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Q: 4 The value of 2 n=1 3n2 will be + 6n .... .

A: See solution below

Q: Question no. 42 Suppose that [1/4 1/2 1/4 P= a 0 1-a

A: The states are {0,1,2} P=0.250.50.25α01-αβ01-β Pijn=P(Xn=j|X0=i)piin = prob of return to i in n…

Q: The number of elements in S3 satisfying the condition x2 = e is a)1 b)2 c)3 d)4

A: Explanation of the answer is as follows

Q: L(e-3t)= %3D 1 s2- 3 1 .bO s2+3 S-3 1 .dO s +3 1.

A: We can solve it by definition of Laplace method Consider Le-3t = ∫0∞e-ste-3tdt=∫0∞e-(s+3)tdt=…

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: Question 6 Use the substitution method to compute 9r e d. -- + K.

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Q: TL ( - k) = | k-1 a. 6n + (n + 1)(2n + 1) - b. n(n + 1)(2n + 1) c(n²-1) C. O d. n3 e. 00 f. 플 (n +…

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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: 2 Problem 1: Find L-1 s2 + 5s + 6J

A: In this question, concept of Laplace Inverse is applied. Lapalce Inverse The transformation into a…

Q: b) Show that MsE(S²) = (п-1)* c) You are given another estimator of o? which is T² = = (X; – X)² i=1…

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Q: Question 2 then the value of "fx) =L 3+1 O 1 O None of the other choices O 2 O V3

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Q: Suppose that the initial population of deer in a state is 5,000 and is growing 6% each year. Which…

A: Formula used of compound interest  A = p(1+r/n)^(nt) where A is total amount after interest  r is…

Q: b) S. 1 /2n+1 n=1 In+1 c) S̟ =E: In° +1 n=1

A: 7) a) The given series to test is S∞=∑n=1∞e-nn. We can use the integral test for checking the…

Q: QUESTION 1 Ifliafix) -3 and Linf) - F5) -5 -5 -4, then f5): x-5 O annar be denermined. O equals 3 O…

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Q: 2n [3] (b) E for n 21 2k k=0

A: Answer

Q: D. Show that if an 3n3 - 17n2 + 2n - 6, then a, = O(n³).

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Q: 3. The value of c is given by Vn А. /n+1

A: This is a limit problem

Q: Question (1)  Prove , ez1/ez2  = ez1-z2

A: The given equation is: ez1ez2=ez1-z2

Q: (b) Guess the value of x^e-X dx when n is an arbitrary positive integer.

A: ∫xne-xdxlet u = xn+1→dudx = (n+1)xndx = 1(n+1)xndu ; x = u1n+1∫xne-xdx = 1n+1∫e-u1n+1du⇒∫e-u1n+1=…

Q: Find dP if p = In(q³ + 3). bp dp dq

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Q: (a) {cos ((2n + 1)E)-1 n=1 (Ъ) e2n+1 n=1 (c) n³ + n² – n2 + 3 - 1 | n=1 (d) {nsin 프}. n n=1

A: due to time limit I am able to solve first 4 part

Q: nx) in the E 2n is

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Q: Question 4 A If efle) = 1+ z², then f' (z) = A в c) 2z (1+z²) D 2 (e) E) 2z In (1+ z²)

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Q: 2) y-Sy=-5xy* Type:? find general solution. 3

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Q: 4 The value of 3n2 will be + 6n .... n=1

A: We use partial fraction method to find the required sum of the series.

Q: 5n2 For E>0, there is a corresponding N such that -4/0 N. 4 +3 Then the value of L will be

A: Given function is , f(n)=5n24n+3

Q: S 2 1-a Select one: O True O False e²e³dydx = - (₁ e²d²) (²* eºdy) (² dx 2

A: Given :∫01∫21-xexeydydx=∫01exdx∫21-xeydy

Q: Solve the initial value problem %3D 2 — 4г, у(0) 3D —2. (Use symbolic notation and fractions where…

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Q: For numbers 1-5, let X equal the larger outcome when a pair of fair four-sided die The pmf of X is…

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Q: 13 + 33 + 53 + + (2n – 1)3 = n²(2n² – 1) - ... Ensure that you explain the steps taken.

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Q: 2と e こeo437 RK = k(-n.65)

A: To solve this problem, first we should bring all the terms with k to one side of the equation and…

Q: (エ+1)n n=D1

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Q: 8 4 SS e*dædy O e16 – 1 e16 + 1 *+1 el6 2 O 2e16 – 1 O 2e16 +1 O el6

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Q: Question 4 3 k equals to ,2 n(n+1) O n(n+1) o n(n+1) (2n+1) 6. Moving to

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Q: у" — бу' + 13у %3D 0, у(3 - 6y'(9) =7 ||

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Q: (d) (e) n=1 n=1 3n²+ 1 2n² +3 2¹ (n!)² n2(2n!)

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Q: 2-Find L(e-3tsin2t)

A: Given function is, f(t)=12e-3tsin2t Now, from the property of Laplace transformation we get, L(…

Q: Find the sum of the following: 1 Σ 5n² +5n n=1 a. b. n=1 3+2-1 4n

A: a) ∑n=1∞15n2+5nb) ∑n=1∞3+2n-14n series converges: The series  ∑n=1∞an converges to k, then the…

Q: If A = -5 1 then none O A is Skew- Symmetric and non singular

A: Skew-symmetric matrix: A Skew-symmetric matrix is a square matrix whose transpose is its negative.…

Q: Find the radius of convergence and interval of convergence of  Σ 1 to infinity…

A: Find the radius of convergence and interval of convergence of given infinite series.

Q: If z3 + In(e 2 -2 e+e) = 0 az find at the point (0,0) O -3 0 3 О-2 O 2

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Q: 1. Mr. Tejas has a total investment of Rs 10,000 in 3 bank accounts, one paying 5% interest. another…

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Q: If s(n)=3n2−3n+5s(n)=3n2−3n+5, then s(n)=2s(n−1)−s(n−2)+cs(n)=2s(n−1)−s(n−2)+c for all integers…

A: Function represents the relation between dependent variable and independent variable. Function…

Q: -15 ス=スーカー3;w>え崎-k md 。 d o えしデx2) ) 1パx悩)1,) (穴応)し花っ2) - %3D A. 一

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