[3 5. Let A = and B = [, Find C = (AB)"

Q: ds if s = Find dt 7t + 3 ds dt II

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Q: 27 Find (all) the value(s) of c such that 3c 3can - 8. n=0 (A) c= 3 (B) с%3D 4 (C) c = -}, (D) c = }…

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Q: Evaluate h(2), where h = (gon. s (2) = –ig(2) =?+1 1 f (z) . h(2)

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Q: Compute A?x and A3x the correct way: ´1 0 () 0 1 A = 3 0 2 0 1 1 1

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Q: To the recipient, the following commendation is given in its standard form max z = Ax1 +B x2 A=6…

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Q: Consider a, = V4n² + 3n – 2n for n > 1. %3D -

A: Introduction: The sequence is a set of functions with the set of natural numbers as the domain of…

Q: 8. If s is t less than four times u, what is t in terms of s and u ? F. 4u + s oG. 4u- s H. u+s J. U…

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Q: 3. Show that if A-1 exists, then f eAT dr = A-(eAt – I) = (e4t – I)A-1.

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Q: - the following sys 2z = 1 Bz = 3 az = b

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Q: 3. Prove that {12a + 4b |a, b e Z} = {4c\c € Z}.

A: as per our guidelines we are supposed to answer?️ only one question. Kindly repost other question as…

Q: Answer the following question accordingly: a) Let A=|2 3 -1 3 a and B-l= where %3D 2 5 a ato and a $…

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Q: 1 If z = 2 V3 -i, then find ()*

A: Given complex number is: z=-1-3i2 Find the conjugate of complex number: z¯=-1+3i2 Find z¯4?

Q: Σ n=1 5n Vn3 +1

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Q: re 'C' is z-

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Q: Find the value of c such that enc = 5 n= 0 C =

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Q: 2 Let C: z-2|=1 and I = dz. Then C z2-4

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Q: · (b + c) = ² 7. Prove that à. = a · b + ac for all a, b, c € R³.

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Q: /2 5b) What is ll xl)=(2 ²) if x= G,s%2;X3=--) toce where -n/2 2. and Xn = L?

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Q: If z1 = 1+ jb , Z2 = re¬1² , z/z2 = -10 , determine all possible values of b and r %3D

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Q: 1 Show that xn-m)}-2X(2). assu me. Zera 1c

A: As per the company's rule, we are supposed to solve one problem or three subparts. As there are two…

Q: (a) Evaluate . z²e1/z where c is z = 1.

A: note : as per our guidelines we are supposed to answer only one question. Kindly repost other…

Q: 12 y' (12x +5) (4y* +3)° b. If y* +3y-4x' = 5x+1, then prove that y"(4y +3) = 24.x--

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Q: 4 16 Define T: R? - R° by T(x) = Ax, where A = 1 3 -

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Q: Show that |Re(2)| + |Im(2)| < v2|=| for any : € C.

A: Since you have asked multiple question, we will solve the first question for you. If you want any…

Q: Ex let x be with pmf 1=,2,3, 16 O find c P(X)2)

A: We want to find the value of c and P(X≥2) and P(X2=9)= ?

Q: 5. (BH) Calculate det B, where 0. 4 1 1 В — 1 -2 4 -1 2 1 -1 0 7

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Q: Which of the following is S(x) = x2 - 7x + 10 %3D 11-5x S(x) = 3x-8 S(x) = 6- x f(x) = /2x – 5

A: We can find which option is not one to one as below.

Q: Let X~N (6,2) and P(X>a)= 0,3 Find a?

A: GivenX~N(6,2)Mean(μ)=6standard deviation(σ)=2

Q: Prove indirectly: "V n E Z, 4 ł (n² – 2)."|

A: Ans:Let us assume that 4/n2-2;∀n∈zthen we have there exist a positive integer k such…

Q: a) Let Z = 7 – 13i, find: i) Im ) ii) (Re Z)?

A: Complex Numbers: The complex number is basically the combination of a real number and an imaginary…

Q: 1. Let s, =2+j8 md -, = 4+j36. Show that a. -1+- = -+- 1 -1- -2 -1 -2 = -1-2 -1 : b. C d. =2 ||

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Q: Q(x) = √3/2+² Ser fet de Prove that & QQ (-∞ ) = 1

A: Here we can use Gamma function formula Γn = ∫0∞ xn-1 e-x dx to evaluate the given improper integral.…

Q: 4 Evaluate f, S, 6xy² dydx

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Q: Name the two lines and the transversal that form each pair of angles.

A: A transversal is defined as a line that cuts through two lines.

Q: show: o f(2) dz f(2)dz (Z-Zo) (C) (2-20)2 (C)

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Q: Verify that Al2 = I½A = A for an arbitrary A E M2x2(C).

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Q: 3 Reverse the order of whyndien of ? X (6x-2) dyds x- 4

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Q: x, and x, in terms of t.) 2 1 -1 1 1 -1 1 2 1 2 2

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Q: toxyız)=e xehe of Lexe fie rehe rexe

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Q: P(x) 1 2 5 6 IRound to fonur darimal nlarae ae neerlad 4)

A: here use binomial distribution with parameter p = 0.7 and n =6 for binomial theorem ,…

Q: 3, 5x 60(x2 + *), 3 b) Y = In 7.

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Q: Write equation for each ellipse

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Q: -25 (1+j2 Show that (3+j4 2- = 57 + j24 -j - 2

A: The expression to be proved is  -2521+j23+j4-2-j5-j=57+j24

Q: (c) Derive the following formulae (i) n(n+ 1) r = r=1 n(n+ 1) (2n + 1) 6. [=1 (ii) n(n+ 1)]2 2 r=1

A: A sequence is referred to be in arithmetic progression when the common difference between two…

Q: I find B such that AB = C. If 5 0 3 A = 2 01 9. C = 3 5 c- (* :)

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Q: II. Let U = R, { x € R | 26x + 25x = 0}, J = { x €R | |4x + 2| > 10 } and K = { x € R | x? – 3x – 4…

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Q: Derive the following formulae (i) (ii) (iii) Σ Π r=1 έρ r=1 = Σμ r=1 r= n(n+1) 2 n(n + 1) (2n + 1) 6…

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