nd 12 22 Lt 32 +. n 00 n3 n³ + ...+ n3

Q: Q1: Let A [1 2 3;4 5 6;7 and B-19 8 7 6 5 4 3 2 1 C=[1 2 3; 4 5 6;7 8 9] Find A-4 B-3C ?

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Q: 6. Σ. 4n² - 9 n=1

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Q: If L(4sin(3t) + 2cos(9t)) = 4AS³+Bs²+Cs+D (s²+9)(s²+81) the value of B is

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Q: 6°c2 6°c3 Let S= 1+6³c+ 2! 612c4 + 3! 4! If In S = 4536, then find c. О 18 о 3 O 9 O 21 O 15 O 24

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Q: fΣ (α + bk)- 6n and n+1 k-1 (ak- br) = 1 = then ar - n+2 k-1 k-1 O None 3 5. O 2

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Q: 3 R°. Is it true or false that

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Q: Assume that n / 7 = q R3. What is (3n + 4) / 7

A: Givenn/7 = qR3n = 7qR3

Q: 5. Ifn = 2250 then find p(n) (a) 600 (b) 1 (c) 768 (d) 6084

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Q: 42. 8T n=1 (n!)" nin

A: Consider the series ∑n=1∞(n!)nn4n   To Find: whether given sum exists or not i.e., given series…

Q: C. n In n n=2

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Q: Q3: Prove that (9":n e Z) (3":ne Z) but (9":n E Z) (3":n E Z).

A: We have to prove that 9n:n∈ℤ⊆3n:n∈ℤ but 9n:n∈ℤ≠3n:n∈ℤ

Q: (-5)2 n (b) En-1 n²,97n 00

A: Part b,

Q: L{cosh 3t} = s2+32 Select one: O True O False

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Q: b) n2 +n+1 n +n2 c) el/n 72 72=1

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Q: Q4 Determine i) S Inßx x²dx Sax+8 ii) çdx x²+4x4B

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Q: Show that n*-n3.5+300n + 234n²log n³ + nVn10 e 0(n*)

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Q: 2n if 1sn< 457 | Зп +1 b) {a,} where a, ={ne"* if 457 <n< 2100 4n –1 if n22100 5n+7

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Q: 2n B. ) 2 (1+n2)3

A: Given: ∑n=1∞2n(1+n2)3

Q: Show that MP-1 (n) + (m+1) Pm+1 (n). - (2m +1) " Pm (n] =>

A: The objective is prove that mpm-1x + m+1pm+1x - 2m+1 x pmx = 0. To show the given result we will use…

Q: n°(r + 4)" 2 .n20/3 infinite, type "infinity" or 'inr".

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Q: (5) {1,2} C P({1, 2}).

A: Given  set is {1,2},  we knew that power set of a given set is set of all subsets of the given set.…

Q: b%3D (Do not round until the final answer. Then C= (Do not round until the final answer. Then i A =

A: Triangle: a=9, c=5, B=540 We know b=a2+c2-2ac cos (B)A=cos-1(b2+c2-a22bc)C=cos-1(a2+b2-c22ab)

Q: μ1 = μ2 = 0, n2 = 27 and n1 = 19; thus df is:

A: Given that, μ1 = 0, μ2 = 0, n1 = 19, n2 = 27. df is degrees of freedom for testing the hypothesis,…

Q: Q8 Let P(A) = 0.9 and P(B) = 0.8. Show that P(A n B) 2 0.7.

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Q: n^2+5n=24

A: Given,

Q: п? +1 n- 2n2 +n – 1 n=2

A: Alternate series is convergent if  Terms of series are decreasing and limit of an as n -&gt;…

Q: V = 144n LA = SA = (Leave in terms of n)

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Q: n! 00 is 2.5.8....(3n+2) Zn=1 а. 3 b. 5 с. d. 3.

A: For the following problem,

Q: n=9, p=0.2x<3

A: Here we need to find P(X&lt;3).

Q: (2n)! 2" (n!)² ii. WIW!

A: using the concept of radius of convergence....

Q: n2 when m 4 Evaluate 10m+ 5 and n = 4. %3D

A: Evaluate 10m+n24 when m=5 and n=4

Q: 2n 2 3n2 +4 n=1

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Q: For the given statement Sn, write the three statements S1, Sk, and Sk+1.

A: Given, (a).  Sn=1+2+3+....+n=n(n+1)2(b). Sn=12+22+32+....+n2=n(n+1)(2n+1)6write the three statements…

Q: 3. n2 + 7n + 10

A: The telescoping series ∑n=1∞3n2+7n+10

Q: Q.8 Í xPn+1®n+2dx= Evaluate: n+1*n+2° -1

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Q: ъ) n EN COn n > 0, (2n)! < 22n . (п!)?

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Q: n3 - 2 Lt 2n' + 3n – 4 Find n+00

A: Given query is to find indicated limits.

Q: 20 n 27 = loo64tnl00/31

A: In this question, some logarithmic property is applied. logab=logbloga logab=bloga

Q: Q2: Find the convolution of the following two signals: X(n)-26(n) + 8(n-2) +38(n-3). h(n) = 2 (0;…

A: Sol

Q: Is 2 (n² + 6n + 9) equivalent to (2n + 6)(n + 3)? O True False

A: (1) Function ht=15+60t-16t2 Given that value t=10…

Q: C d. M8 n=1 n=2 (n + 1)! 22n-2 (-1)" nln n

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Q: 1 Please evaluate 2 n=2 n²+2n –3

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Q: P (Z > 1.28)=?

A: Z is a random variable that follows standard normal distribution with mean 0 and variance 1.

Q: 2. m-n²÷m²-2mntn? (m-n)2 (m-n)4 mstn3 m²-mnth?

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Q: Since n;.n;=1 and n=n23D(2/2)/5 then n3 +3/5 %3D

A: Thanks for the question :)And your upvote will be really appreciable ;)

Q: Since n.n=1 and n-n2=(2/2)/5 then n3 +3/5 %3D

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Q: n² +1 Q# b 5n + 2n n=1 2 5

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Q: Evaluate if possible a) 2 ∞ Σα η=4 n2+4n+3

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