3. Which of the following pairs of sums are not equal? Σ: Σ ω ΣΑ ΣΗ (a) j- (ω Σί Σα -1) (ω Σι6+1), Συ-) j-2 i-1 j-1 i-2

Q: 100 (e) Σ199 2i(i3 – 1) i=1

A: To find the sum of- ∑i=11002i(i3-1)

Q: Evaluate limz 100 13+15z 5z 7

A: Given,          limx→∞-13x3+15x5x-x2

Q: Evaluate the summation (2i - 1)? - i=1 155 162 165

A: Topic = Algebra

Q: Which of the sums below is equivalent to 4sin (36)cos (5ß)? Select the correct answer below: O 4cos…

A: 2 cos(A) sin(B) = sin(A+B) - sin(A-B)

Q: (x-1) (x-2)(2x-5) Which values of x need to be excluded (because they make the expression…

A: Function is undefine when denominator is zero.

Q: (2z2 + 2z - 1) - (2z? - 3z + 7) = 5z- 8 O True O False

A: Evaluating the value of the expression

Q: n j=11 (j + 2)² = E first step 2nd step 3rd slep 4th slep final answer

A: The given summation,         ∑j=11nj+22

Q: Simplify the following equation (removing the summation symbols): 2a min(k-1,a) Σ Σ (b-k).…

A:

Q: 2-4 Let A Then A -l exists provided that d # -8- %3D 4 d True False

A:

Q: 1. Find the sum: ( a) ΣF, (31-2) (b) Ef-3 T-2) 2 (c) 25, 2i(i - 1)

A:

Q: 5-A] [CLO 1] Suppose that x, y, z € R. Expand the expression so that it is written without…

A: The expression is given as  (2x+3y+1)(8x-5y+3x+5).

Q: Let u = 2i+j-k and w=-3i+4j+k. Find uxw Select one: O 5i-3j- 11k O 5i+ 13j+ 11k O 5i+j+ 11k O None…

A:

Q: The summation 2 i(i+1) is equivalent to -1 Select one: Oa. None of the choices is correct b. CE -1)…

A: Q.Sol .  Here we have to find out sum of ∑i=16 i i+1Recall : - i Sum of first n natural numbers is…

Q: Find det (A) (2 3 4 5 1 32 4 A = %3D 5 34 1 4 2 3 5,

A: To determine the determinant of the below matrix. A=2345  1324  5341  4235

Q: Simpli fy, ( O-1+i O -1+ i" O in+1 01+i

A:

Q: n n-r+1 (a) Prove that "C, =""C,-1 (b) Prove that "C, r

A:

Q: Find the product AB, where 1 a) A= 0 1 1 -1 1 1 -1 -1 %3D -1 1 [1 b) A = 1 -3 1 -1 2 3 2 B = -1 0 3…

A: (a) To find: The product AB Given information: The matrix is A=1010-1-1-110, B=01-1 1-10 -101…

Q: 3 1 3) Evaluate the sum: Σ 2 i=0 i? +1

A:

Q: Let B- 3n - 2m :n, m EN Then inf(B) = nm

A:

Q: Let gcd(a, b) = d then which of the following is correct (i) (ii) b|d (iii) d|(ax – by) v[p a. All…

A: gcd(a,b) = d  So, by definition, d | a and, d | b  &, d | (ax - by) for all integers x & y…

Q: 2. Expand the following summations: a. b. Σxy c. Ef-o(2 + z;) d. E- x+ y e. E(axi+ b)? f. E(2xi+…

A: Multipart:  We need to expand given summations ,  We know that , summation is the addition of…

Q: Find the sum of the following: 1) Σ=3 2 i (i -2)]

A:

Q: Which Riemann sum represents the illustration shown? 3 L 2 1 2 4 6 4 O 8 10 √xi. Axi √æi. Axi xi.…

A:

Q: (a) Write using summation notation: 1 +1 + 1 + 32 + 1 3n (b) Transform the summation by making the…

A:

Q: The number of terms in the exp ansion of ((x +4y)³(x – 4y)³)´ is Option 1 6. 8. 12 2 3 The 5th term…

A:

Q: Σeksin (2-k)

A: The given equation is as follows:∑eksin(2−k) There is no unique solution to the given problem…

Q: Use the Geometric Sum identity to prove that, if r 70, then (1 – x)3 1 =1+ (1 - x) + (1 – x)² + |

A: The objectives to use geometry sum identity to prove the following expression.

Q: Evaluate L{cos² 3t} s² – 18 a) s(s² + 36) s2 – 18 b) s(s² – 36) s² + 18 c) s(s² + 36) s2 + 18 d)…

A:

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

A:

Q: Homework Q1: Apply this formula for the previous table calculations Σαν - ΣχΣν (Σ N √(Σ x² - (Ex)²)…

A: The formula you provided is a bit fragmented, but I'll do my best to explain each part and…

Q: Write in summation notation: the sum of the first 470 odd positive integers. 470 Σ(i-1) i=1 470 Σ…

A: NOTE: Refresh your page if you can't see any equations. . odd integers are the first term is  the…