10 Evaluate Σ(2n – 1). n=1

Q: Find 3 values of r n =120 o(n) such that

A: Ok

Q: Given a positive integer n, let a2,n–1 a2,n a3,n-2 a3,n-1 a3,n An = аn-1,2 аn-1,n-2 аn-1,п-1 @n-1,п…

A: Given: Here the given positive integer n, Let An = 00...00a1,n00...0a2,…

Q: Q. 5 Given that A and B are independent with P(AUB) = 0.8 and P(B)= 0.3, find P(A).

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Q: Select the correct answer from each drop-down menu. (5 – 31)( +iy) (4 – 5i) = (2+1)²–(3–4;)? %3D If…

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Q: Example. Evaluate (1+1)/(1 - 1). From Figure 5.1 we have 1+iz vie. We plot 1-i in Figure 9.5 and…

A: we have (1+i)21-i=(1+i)21-i×1+i1+i=(1+i)312-i2=1+i3+3i+3i21+1=1-i+3i-32=-2+2i2=-1+i

Q: Prove n (2k – 1) = n² - k=1 for every n EN.

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Q: (1.3) Show that n - n (n – k) . k + (k + 1) k k 1 - for any two positive integers k and n with k <…

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Q: Q1 If A 010 1 Par API AYA² KA ナ show That:

A: If , show that .

Q: Determine if S3 e S3 is solvable.

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Q: 1 9 1 dt 1 + t2 %3D II

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Q: Σπ=o2()n+3

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Q: A factory produces two types of electric:! bulbs A and B. In an experiment relating t their life,…

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Q: Q2. Induction. For each integer n > 1, define the sum S(n) as follows: 1 1 1 1 1 S(n) = (2i — 1)(2і…

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Q: find all fau Secmd order factial desirathives. Icoslbxtc)

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Q: (6) L {(1+ te-t)a}.

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Q: Let P(A) = 0.3 and P(AUB) = 0.7. For what value of P(B) are A and B independent? O4/7 1/4 O 1/3 O…

A: Given: P(A) = 0.3P(A ∪ B) = 0.7

Q: (a) Find the left cosets of {e, (1, 2)} in S3. (b) Find the right cosets of {e, (1, 2)} in S3.

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Q: determine L−1[F].

A: Given Data The function is F(s)=4/(s+2)3.   The general inverse transform rule is,

Q: 6. of 00 23 3. From the spinner below, let X be its outcome. 12 1 11 10 4. 7. 6. P(X > 8) -

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Q: Find the value of c such that E enc = 4 n = 0 3 1n 4 C =

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Q: Evaluate I = | J=(1+e-x)²

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Q: Write each expression in sigma notation. (11) a+2a? + 3a' +4a* + 5a° 1 1 3 1 1 1 (15) 5 7 9.

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Q: {In(8n+1) – In(4n +5)} 20. b. 0 c. In(2) d. In(5) e. Divergent а. 2 с.

A: ln8n+1-ln4n+5 Now, limn→∞ln8n+1-ln4n+5=limn→∞ln8n+14n+5…

Q: For any positive integer n, T i=1 (2i – 1) = n2

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Q: Write the sum using sigma notation: 1/5 + 1/9 + 1/13 + 1/17 + ... = Σ n=0

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Q: 3. Prove the following identities for Binomial Coefficients (by using the factorials) A. (1) = n B.…

A: We know that ,Cr=n!(n-r)!×r!nand r!=r(r-1)(r-2)........×2×1

Q: Compute y = F 8c by the three FFT steps for c = (1, 0, 1, 0, 1, 0, 1, 0). Repeat the computation for…

A: As per the question we have : y = FC and we have to calculate the FFT in case of  c = (1, 0, 1, 0,…

Q: Write the sum using sigma notation: cos(4) + cos(13) + cos(22) + cos(31) + ... = n=0

A: Let's write the sum using Sigma notation.

Q: Let F(n) = Ea2n P(d). Show that if F(1) = 1 and that if n > 1 factors as %3D am then la:/2] a1 F(n)…

A: Given problem is Fn=∑d2|nφ(d). The main objective is to show that if F(1)=1 and that if n&gt;1 can…

Q: 6. Show that Autoq(Q[3], 5]) is finite.

A: To show: Autℚℚ35,53 is finite.

Q: 18. Given 7(t) = , Find:

A: Given that,r→(t)=&lt;sint,t,cost&gt;We have to find the  v→(0)Here v→(t) is the velocity…

Q: 2. Calculate Fn, when n=0, using the Binet form

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Q: 1 Let n = Find n + 1 and %3D n + 1 n + 1 = %3D 1 %3D n + 1

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Q: -1 3 -6,Compute A-5I,. 9. Let A=-8 7 -4 1 8

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