. Compute each of these double sums. 3 b) Σ Σ (3i +2j) i=0j=0 3 2 a) Σ Σ (i-j) i=1j=1 32 c) ΣΣj i=1j=0 d) Σ Σ i3;3 i=0j=0

Q: 100 (e) Σ199 2i(i3 – 1) i=1

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

Q: 4. Ifx, = 60 and x = 90, find each of the following: %3D a. (x, - 7) b. Σx-7 C. (x, + 2) d. Ex # 60…

A: Since you have asked multiple questions we answer only question number 4.

Q: Which Riemann sum represents the illustration shown? 32 24 La 16 8 X 1 2 3 O 1 0 1 3 0 1 i=0 2x₁ 3…

A: Here, the height of rectangle is calculated at the right end point of sub intervals. Therefore, 1st…

Q: Calculate S3, S4, and S5 and then find the sum S = using the identity 4n2 – 1 n=1 4n2 – 1 2 2n – 1…

A:

Q: A shopper buys cat food in bags of 3 lbs. Her cat eats 3434 lb each week. How many weeks does one…

A: Given that A shopper buys cat food in bags of 3 lbs. Her cat eats 3/4 lb each week

Q: Use the triangle below to prove the triangle sum theorem.

A:

Q: b) Transform the summation by making the specified change of index variable :k to j using formula…

A: Given summation is: ∑k=17kk+2k-3 The given formula is: j=k-1

Q: 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),…

A:

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

A:

Q: 2i +1 i(i +1) i=1

A:

Q: 1 Calculate the sum Lrea (r - 2)(r - 3) ww ww

A:

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

A:

Q: 22 and 21 21 in the form x + iy. 10 + 3i and z2 = 15 – 5i. Find 22 Let z1 - 21 22 22 21 ||

A: Given complex number is

Q: Σ 9n n = 1 Identify an-

A:

Q: 2 3 2 3 2 3 Let G= S3 and H={(; 3 2 Then the number of disjoint cosets in G/H is H. 6 O 3 2 O

A:

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 all values of t for which

A: We are given the determinant of the matrix as 0:   So,           Let's find the determinant of the…

Q: Find the orthogonal complement S+, and find the direct sum se st. -{8} (a) Find the orthogonal…

A:

Q: 2) Σ=1 (2i – i3)

A: ∑i=1n(2i - i3 ) 2∑i=1ni - ∑i=1n i3   here we use formula  ∑i=1n i = n(n+1)/2 ∑i=1n i3 = n2(n+1)2/4…

Q: =8, d=9 ation u such that (a, b, c, d) = p

A: The value of a, b, c and d are given as follows, a=5, b=13,c=8,d=9. To find the permutation μ, such…

Q: Transform the following sum by making the change of variable j =i-3. Here, n23 is an integer. 2 – 4i…

A: We use the given relationship between i and j to transform the given sum.

Q: 3. The Wronskian of {x 2,x 2} Select one: а. 3 5. b. x С. Х d. i5/2 m/N O O O

A: The Wronskian(W) of two differentiable functions f(x) and g(x) is given by the equation;…

Q: 1. Find the sum: ( a) Σ (3i-2) (b) Ej-s 70 2 =3 jG-2) (C) Σ25, 2i(i – 1)

A: To find the sum of the given finite series. Note that: ∑i=1n1=n∑i=1ni=n(n+1)2∑i=1ni2=n(n+1)(2n+1)6

Q: 2. Copy of Which of the following is equal to this sum: 3+9+27+81++3 3300 3301 -1 O a. -1 008 b.…

A: Option (a) is correct. See the attachment

Q: b\ Find the domain of the functions: (1) y = (2) y = = (3)f(x) =

A:

Q: ( d ) Σ0, 3i (i2 + 2) i=1 3i(i² + 2)

A:

Q: Select the mathematical expression that is equivalent to the sum Σ}=fzjj+7 j=-2 1) Σ in-3 j=-2 2)…

A:

Q: Question 67 Find the sum (4z2 - 5z) + (2z° - z2 + 3z) A. 6z3 - 6z B. 6z - z2 - 2z C. 2z3 + 3z2 - 8z…

A:

Q: Σ Compute (528i) = i=1

A: Step 1:The given series is: ∑i=1n​(5i2−8i)To find the sum of the given series, we can use the…

Q: 6. show that the set A = {P= (₁4₁2) (R³ | 1²4 + √²2+x2 is an open out.

A:

Q: 2. Find a Boolean product of Boolean sums of literals that has the value O if and only if x = y = 1…

A: 2) Given that boolean function Noted that Noted that Here 1st sum is 2nd sum is 3rd sum is

Q: i Li=1Zj=1 (G+1)² "iYj

A: Topic:- expection of summation