c. Show that ai+1 ao an ai = 0, 1, 9 P (ai - ai-1), for i=1,2,..., N - 1. a₁ = [₁ + ² + ( ² ) ² + --- +- (²2) ^ ] 0₁, ² 9 9 1+ a1, for i P = = 1,2,..., N.

Q: verify that (AB)C = A(BC)

A: Given matrices:

Q: Let u ,v eR* such that F= 2, F]=3 and ūlv. Then (-27 + 35 ) • (v –ū)=

A:

Q: Let {(=) = In ="(z +2)*(z² + 9)] f'(x) =

A:

Q: Let U=​{1,​2, 3,​ ...,2400​}. Let S be the subset of the numbers in U that are multiples of 3​, and…

A:

Q: 3. If A = {1, 2} and B = {x, y}, then AXB = O {1,x), (1,y), (2,x), (2,y)} O {1,x), (2.y)} none of…

A: We have to solve given problem:

Q: Create the logic circuit diagram for F= XY’ + XZ

A: Given problem Given that   F= XY’ + XZ

Q: 12 -I Vk + 1 k=1

A: To find the sum, first, we need to check the convergence of the series. Here we use the divergence…

Q: Then where a11= where bu by2 = where Cu = a12=== b12 || b33== C12= 0 1 +-6²9) -- (9) A = B= 3 -3 5…

A:

Q: find the'mters ection d Exe sy,z]= [a,0,31++ 4,-2,178 [+sy,z]=[6,-12,--11]+5 [1,2,4]?

A:

Q: Suppose X~ Unif (a, b). Show Vark) = (b-a) ² 12

A: Solution-: Given: X→U(a,b) We want to show Var(X)=(b-a)212

Q: For 1 De

A:

Q: (x– 3) - ? = ? 5. For x2 # 9, x' -9

A: Given Data: Expression: x-32x2-9 Condition: x2≠9

Q: A Find a numbel z That satisfies The condubion g af The MUT I dx= 9 4 -4 O -a 0-15

A:

Q: 12) A(2, 1), B(-1,0), C(5, -3), DI-2, -1) ➜ -AR-3CD = 2

A:

Q: 2. Show that 1 2 = (1 - )( - )(? y)

A:

Q: 3. prove that: det (AB) = det (A) det (B) a - (; ), » - ( ) 2 -1 7 2 B = 2 в 3 %3D

A:

Q: Let X N(10, 23). Then P( X< 10) = %3D

A:

Q: () - (" ;')-(,".) Show that: n+1

A:

Q: 4. -0-0-0-| - [¯-2], ✓= [3³], V W 1. u. u, v. u, and 2. w. w, xw, and x-w W. W 3. 1 W. W 1 u u u= W…

A:

Q: Ifa' = (-5,1,2) and b' (-1,–2,4)and, find a – 3b.

A:

Q: Suppose that f(2, 3,1) = 5, fz(2,3,1) = 2, fy(2,3,1) = 3 and f.(2, 3,1) = -1. %3D Then f(1.9, 3.3,…

A:

Q: [2 4 21 A = l1 3 1 1 1 B = -2 -1 [2 4 D = 4 C = 1 3 21 -1 %3D 2

A: Given A = 242131B = -1111-2-1C = 242131D = 1-1-1-121 Clearly  C = AD = -B

Q: how did the y' and 2y' apearred out of no where in line 7

A:

Q: 10 8- A 6- 2 -10-86 246 8 10 B -8 MathBits.com -10

A:

Q: If 1 A = -9 6 1 6. 2 -T and Q(#) = ' Až, then Q(z1, 12, T3) = Enter z1 as x1, 12 as x2, and 13 as…

A:

Q: Suppose X~N (μ,σ') then X – H - - N (0, 1) o2 O True O False

A:

Q: 1. (а) 52x $* (b) 3' x 32 - 5 2. (a) k* x k? (b) m³ x m 3. (а) у к (-у") (b) -x (-)

A: Given: 1.(a)52×56  (b)33×332.(a)k4×k7   (b)m5×m9   3.(a)y2×(-y10)  (b)(-z3)×(-z4)

Q: 5) For each + ive integer i, where i is equal to three, then find the union and intersection of…

A: 5 Given that Ai=x∈R|−1i&lt;x&lt;1i=−1i,1i. a We have to find the A1∪A2∪A3 and A1∩A2∩A3. Here,…

Q: Ifx+y+z= 1 and x, y, z are positive, then show that ( 1)² ( 1)² ( 1)² 100

A:

Q: & 18) Vaing showj that the idently in

A: Using the identity 1+x2n=1+xn1+xn,                . . . (1) we want to show that 2nn=∑k=0nnk2.…

Q: The solution of the differential equation (x + 1)+o + 1) = 0 is A y=2+x B. y= C. y = x(x- 1) D. y =…

A:

Q: 3 4 Evaluate [, S* 2dydx

A:

Q: What are the zeros

A:

Q: (-8 1 4 (a) If A = 4 4 7 prove that A- = A' where A' is the transpose of A. 1 -8 4

A:

Q: 37) -3x s -9 or 3x >9x - 6 + + -1 1 3 4. A) (-∞, 1] u (3, ∞) -1 4 B) (1, 3] + + -> -1 2 3 C) ø D)…

A: Solution:- given inequality is  -3x≤-9 or 3x&gt;9x-6