4z2+4 Let C: |z+1|=4 and I = % dz. Then z²-1 I=0 by Cauchy-Goursat Theorem O None of these O I=4ni I=0 (without applying Cauchy-Goursat Theorem) O I=2ri O I=-2ni

Q: Find the dual of the Boolean expression T+r.0+ ryz O T.(T+0). (T +y+ z) O r. (r.1). (T + y+ z) O…

A: The dual of Boolean expression is given as follows :

Q: HW 2: If Z - N(0,1), find a) p(Z > 1.2) b) p(-2 <Z< 2) c) p(-2 <Z < 1)

A: If Z~ N(0,1)   which means clearly it is standardized normal distribution table.

Q: How many zeros does the function below have 1 31 - g(1) + Vi +1- 3.1, (-1,1) O A) 4 O B) 3 C) 0 O D)…

A: Given:

Q: )(2n) for conplex number sequance show that if lm En=1 then 3no fN such that for for Hn 7 no o Znto.…

A:

Q: dx Evaluate • (1– 2x)² 1 2 O-1 H/2

A: NOTE: Refresh your page if you can't see any equations. . ...............(1) substitute…

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

A: Evaluating the value of the expression

Q: 18 16х + 17 dx Evaluate

A: ∫xndx=xn+1n+1+C where n≠-1

Q: Q.1A) Evaluate 2 (4-x*) 4 cosy dydx 4-y

A:

Q: Which one of the following is equal to Scot (™) do? 2 ○ 2/4 sec² \sin (12) ○ 2) | + c 2 In sin (18)…

A:

Q: (b) Find a closed-form expression for Ak+1, k1, where 0 0 23 30 -18 -235 A 0 9

A: Given that Now the eigenvalues of A obtained from Eigenvector corresponding to .

Q: 28 If √1− xº + √1− yº = a³(x³ - y³) lf dy 1-y6 2 x²

A:

Q: 5- Find L-1 5² (s²+4)² by using Convolution theorem.

A:

Q: -1 2 1 Let A Compute AAT and AT A. 1 0 1 1 -1

A:

Q: 6-2 x and y are independent and uniform in the interval (0, a). Find the p.d.f. of (a) x/y,

A:

Q: I. True or False. 1. N is closed under subtraction. 2. Z is closed under division. 3. Vx2 = -x if x…

A: A detailed solution is given below.     (As per our guidelines, We are supposed to answer only 3…

Q: * Given : the constants C,D; the functions F1 (1eof argum G/2; the predicates P/1, R12,Q13- Which of…

A:

Q: Determine inf H and sup H for H = (-1, 0), H = {0, 1}U(2, 3),

A: As per the guideline i am uploading the first two. For the other two kindly resubmit the questions…

Q: The real part of sech (2-j3) is -3.7245 -3.5906 O 0.0403 O -0.0106 -0.5309 1.0357

A: The Euler's formula is widely used formula in complex analysis. It makes a bridge between the…

Q: 2a In R^ show that : 2 as 211x11² + 211|4|1²³ = || Xx+y|11² + 11x-y₁1² ( This is known a the…

A:

Q: Suppose that X and Y ave random variables with E(X) = 2 , E'(Y) = 5 and E(X*) = 8, E(Y®) = 30 and…

A:

Q: Let f: AB and 9: B→C be defined as follows: f(a) = 4a² +2 and g(b) = 26-7 Compute the following: (a)…

A: Let A=B=C=x|x is a real number Let f:A→B and g:B→C be defined as  fa=4a2+2andgb=2b-7 Hence…

Q: Show that ▼ƒ(x) = ["* V²ƒ (x + 7(y − x)) (y − x) dr. - Show all your work pls.(readable…

A: We will use the basic knowledge of integral calculus and vector calculus to answer this question.

Q: Find the characteristic equation of the recursive relation an 송,Mn 2 1. O 3r – 1=0 Or+3=0 Or-3= 0…

A:

Q: π Show x² x² + x² +1 4 √3 -∞0 4 Hint: x² + x² +1= (xª + 2x² +1) − x² = (x² +1)² −x² dx =

A: The objective is to show that ∫-∞∞ x2x4+x2+1dx=π3

Q: DeMorgan's theorem states that Select one: a. (A + B)' = A' * B b. (AB)' = A' + B' c. A' + B' = A'B'…

A: We are given some statements to verify De Morgan's theorem. We can do this in the following way:

Q: Find the singular values σ₁ ≥ σ2 of 01 = 02 -1 -27 A = -2 1 -2 2 9.

A: Find the singular values σ₁ ≥ σ₂ of the matrix A: Singular values of a matrix are the square roots…

Q: Problem ID: PRA3NDM Shaggy earned $7.55 per hour plus an additional $100 in tips waiting tables on…

A: See the attachment

Q: if z=x+iy find real x and y such that |z+3|=1-i(z-2)

A:

Q: z2+5z+6 "f(2) = and C: z=3, then f (z)dz =? %3D3• N-2 O a. 0 O b. #0 Oc f(z) is not analytic O d.…

A:

Q: Creani Cet G4)= ti t2+34)j +4k HICH) = 2JF L+3tj + find a) H4) XG4) (1+24)k こ b) G4). HGE)

A:

Differential Equations

Have you ever observed the movement of the satellites and rockets or how the planets go around the sun in their orbits? How will you determine their motion? Definitely they follow some scientific laws and these kinds of problems are framed as differential equations.