d) 0.01n2 + 0.0000001n4 is O(n2) 0.01n + 0.0000001n* <=0.01n* + 0.0000001n* 0.01n? + 0.0000001n* >=0.0000001n for n>0, O(n*) for n>0 ,2(n°). is O(n") True

Q: 4 G DI -1 Ic < 2/2 - NI 26 letters 10 digits 0-9 digits = 10 digits { possible numbers} 10 x 10 x 10…

A:

Q: Which one of the following are true? (Multiple correct answers possible) |P(A) = 1– P(A') P(A) = P(A…

A: here we have to verify the given options.

Q: What is the probability that given a block n of 30 bits, that you have an error sequence E(X)=P(X)…

A:

Q: Let n=2 and z=-1+i Calculate In (z") Calculate n-In (z)

A: Let, n=2 and z=-1+i, then we have to evaluate:                          lnzn and nlnz

Q: (2x)" A) diverges if |2z| >1 B) diverges if |z| > 1/2

A:

Q: ^n for all n>=6

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Q: Differentiating > (x + 2)" with respect to a leads to O a. En(x + 2)"-1 O b. 0 00 Od. E(z + 2)" 1…

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Q: Use this function to show that 1+(1/3^2)+(1/5^2)+...=pi^2/8   f(x)=.5-(Summation from

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Q: 26 E(- 1)"2n - %3D n=0

A:

Q: (3) Prove that n=2²°² is a square. 2K+1 where K = 1 $ (n)

A: This follows from the definition of euler Phi function

Q: Q2/Determine: 1. L-1 s²+9s+2 2. L-1 L(s+3)(s-1)2. s+1 (s-1)s²]

A: 1. To find the inverse Laplace transform of a given function, we would generally break down the…

Q: If C₁ * x² = c(1) ²¹ + a₂ (1) ²³ t² is the complementary solution of the nonhomogeneous system 3…

A: If the nonhomogeneous system is x'=3-22-2x+-2tt4-1 If the complimentary solution is…

Q: X(z) = z(z+2) (z-1)(z-3) x(n) = u(n) — 223¹u(- -n-1) x(n) == Option 3 3 5 )=-u(n) + 3"u(n) Option 4…

A:

Q: For v= 3 compute the following, and write your answers as integers or simplified fractions. w = 3 4'…

A: Given,  v = 13, 23  w = -14,-34  We have to solve for (a), (b) and (c).

Q: |(25z + 11) e* dz - (25x + 11) +e'z+C 25 (25л + 11) – e'z +C 25 (25л + 11) (25л + 11) — e +C

A:

Q: s2+10s+34 2s+10 If F (t) = L-1{ find F (0) s2+10s+34 O -2 o 1 O-1 o 2 Previous Nez

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Q: 00 The first derivative of the power series f(x) = (-1)" (62)" is n! n=0 O 6 f(x) O f(x) O -6 f(x) O…

A:

Q: By the Fundamental Theorem of Calculus, Part 1 4 ["* vi(2+1)dt = ["^(2√²+11) de dt 4 - = ( 5 -t² +…

A:

Q: Find -2s3 + 9s² – 8s + 18 -1 s (s2 + 4) (s + 1) (3-5e+3 sin 2t ) (4 - 5e' + 2 sin 3t) (1-3e+3 sin…

A:

Q: How do I use Riemann's sums?

A:

Q: 21) f(x)=47x A) (4 ln 7)47x Write summation notation for B) (7ln 4)47x x(In 2) C) (In 4) 47x x(In x)…

A: Finding the derivative of f(x)

Q: • To find sn, we raise $₁ to the power Sn ||*)/2-1/ 1/n 2-1/2) 2(n+1)/2 |sn|1/n Sn = 1/2 n

A: The given step is

Q: dy If y = 9sin x then dx (a) (cosx) 9sin x (b) (In 9)9 sin x (c) 9sin x (d) (In 9)(cosx) 9sin x

A:

Q: Evaluate L{3(sin² 2t )} 24 24 24s 24 а) s(s² + 4) b) d) s(s² + 16) s(s² + 16) s(s² – 16) a O Option…

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Q: Consider the corresponding zero-truncated Poisson distribution. Evaluate the probabilities p, for k…

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Q: •()(2x² + 2x) (4)" ()" 40-x The sum Lx=0 0=x" 230 335 435 None

A: The given equation is as follows: ∑x=040Cx402x2+2x14x3440-x Need find the summation value of the…

Q: ese correct

A: 19) 9x3y2+15x2y-6x23x2 21) 12r3s5-18r2s2+3rs3rs 21) -10a3b2+25a2b5-5a2b-5a2b 24)…

Q: Simplify the given expression: 9 1 % - [+{+C_±-}}] 20 3

A: To simplify the given expression. 920-15+14+56-13-122

Q: Find u, v, and ||u + v||. 4, (a) ||ul| (b) |v|| (c) u + v 'T) = A

A:

Q: 니ut-4) (r-3'- 16 3')] = L. | %3D 8le ( (r-In 3) (r-In 3)2 ( * 2. 64e-3 (r-In 4) 6. (r-In 4)2 2 (-4)…

A: Lapalace transform satisfies linearity property, La·ft+b·gt=a·Lft+b·Lgt By laplace transform table…

Q: The Taylor expansion of f for x→ 10 is f(x) = 10 + 3(x-10)² + 2(x-10)³ + 0((x a) ft (10) = -12 6) fr…

A:

Q: The value of n such that ph pn-1 || 553,5 ,n> 4 is 15.

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Q: What is the number of integer solutions to the equation X1 + x2 + x3 + x4 + x5 = 100 where x1 2 1,…

A: Given , x1 + x2 + x3 + x4 + x5 = 100

Q: 1/(1-2) + 1/(2-3) + 1/(3 · 4)+.....+ 1/{n(n + 1)} (a) n(n+1) (b) n/(n+1) (c) 2n/(n + 1) (d) 3n/(n+1)

A:

Q: Identity 161 For n 2 0, Er2o (4) ()2"-2* = (").

A:

Q: Calculate $\bigcup_{n=1}^{\infty}\left(\frac{1}{2^n},n)$  and prove the equality obtained

A: I have written my intuition as a claim and i  have proved that intuition is right using Archimedean…