1. Given the following complex numbers: z1 = 2 - j, z2 = -3+ j4, z3 = -5 - j6, z4 = 2 + j3 Determine: (7 – z2)(Z3 + Z4) 7,(Z3 – Z4) a. In rectangular form: z = x + jy = Re(z) + jlm(z) (5 pts) b. In Polar form: z = r< 0 (5 pts) c. In Exponential form: z = reie (5 pts)

Q: (b) The rank of the matrix A is 2. 2 4 2) A = (1 k 3 1 2 2/ (i) (ii) Determine the value of the cons...

A:

Q: 1. Solve the maximization problem using the simplex method: S + 2r subject to: Gr+ 12 < 45 HAximixe:...

A:

Q: aw Q1/ Find aw and when p=1, q=4, if: W= xy+yz+zu+uv and x-pq, y = qtan-'p, z= In(q-3p), u = Vq + 5p...

A:

Q: 4x? )(i) Use the substitution x= tan e to show that sin? 20 dx. %3D (1+x*)' 4x2 (ii) Hence find in s...

A:

Q: Since 1999, the number of fish in Lake Beckett has been decreasing at a rate of 1.3% per year. In 19...

A:

Q: (x-2) (g-9) 2- 3X+uX- %3D 29-u | Sind general Salantion

A:

Q: For fixed positive integers m and n, the set Mmxn of all mxn matrices is a vector space, under the u...

A:

Q: Let V be a vector space of dim 3 over R let T : V → Vbe a Linear Transformation 1. -1 given by the m...

A:

Q: Inv8 *Ve2x +1 dx 2. Find 2 In e Inv3

A:

Q: diag(a1,..., an) be a diagonal matrix (i.e., the matrix with the numbers a1, ..., an on the main dia...

A: We have to find the Ak.

Q: Question 2. Let G be a finite group, H 3 G, N 4G, and gcd(|H|, |G/N|) = 1. Prove that H 3N.

A:

Q: Find the circulation of the following velocity field along the following path: V = (x-y)i + xyj %3D ...

A:

Q: dy Find -given that dt dx x2 + y? = 2x + 4y, x = 3 y = 1, and 7 dt dy dt

A:

Q: (5) Show that if n ɛ Z+ is odd which is divisible by k distinct primes, then the congruence x2 = 1 (...

A: Chinese Remainder Theorem: If a1,a2,...,ak are integers, and m1,m2,...,mk are pairwise relatively pr...

Q: 6. Below are several statements about compact sets; some are true and some are not. Prove the true o...

A:

Q: so

A:

Q: Let D be the set of all finite subsets of positive integers. Define a function T:Z+ → D as follows: ...

A:

Q: Compute the flux of F(r, y, z) = [1,–2, z] through the surface S, which is part of the graph z = f(r...

A:

Q: For each angle below, determine the quadrant in which the terminal side of the angle is found and fi...

A: Reference angles: Suppose the angle θ in standard position and it is not a quadrantal angle, then i...

Q: d by f(z) = (x alytic, then C %3D

A:

Q: Prove that 3" > n2 for every positive integer n.

A:

Q: 7. Let D = be the operator of differentiation. Let L = D² be a differential operator acting on infin...

A: This is a problem of the inhomogeneous differential equation.

Q: The function temperature c x minutes. W temperature c interval [0, 6]2 -8.93 (2) -0.11 Which stater ...

A: Given: Nx=900.86x+69 To find the average rate of change over the interval 0,6.

Q: Letv = x2sin(v) + vexy, where X = s + 2t and y = st-

A: Solution is below.

Q: For a group G and a fixed element a ∈ G, define the subset C(a) to be the set of all elements in G t...

A:

Q: 8. Without solving the following differential equations verify if the set of solutions is a vector s...

A: For the solution of the problem follow the next steps.

Q: net price is RM 1,565.20, find the value of p.

A: Since you have asked multiple questions here, we will solve the first question for you. To get the s...

Q: A) Find 8-bit 2's complement of 68. b) Find the 8-bit representation of -52

A:

Q: Answer each as indicated. 1. Determine whether each of the following series is absolutely convergent...

A:

Q: Exercise 3. Let A = 0 2 (a) Compute the eigenvalues of A and for each eigenvalue a corresponding eig...

A:

Q: Q.1: Prove that A. A-1 = 1 where -1 1 2 A = 3 -1 1 %3D -1 3 4 (Hint: Use Gauss- Jorda

A:

Q: Suppose that E anx" has radius of convergence R> 0. Let f(x) = E anx". Then n=0 n=0 | f(2) dr = E bn...

A:

Q: Translate the Mayan symbols into a number

A:

Q: 2. The following is a graph of y= f(x). Provide a sketch of its reciprocal, y = f(x)

A:

Q: Find the coordinate vector [x]g of x relative to the given basis B= {b, , b2}. 3 2 b, ,b2 2 -7 - 5

A:

Q: Approximate the sum of the series correct to within 0.00001. Σ (-1)" n8" n = 1

A:

Q: Question 1. Consider the second order partial differential equation (1) for an unknown real-valued f...

A:

Q: then ö(x, y) he value of fC

A:

Q: For the demand function q= D(x) = 700 find the following. a) The elasticity b) The elasticity at x= ...

A:

Q: Find the average value of f(x,y)= 4x+2y on the region bounded by x=0,y=0, and x + y= 3

A: Introduction: Like a single variable function, the average value of a two variable function can also...

Q: After a dreary day of rain, the sun peeks through the clouds and a rainbow forms. You notice the rai...

A: Given : Equation of parabolic rainbow y=-x2+36.

Q: 1. Simplify: a. 2i68 – 3i-89 + 4i114 i-125 + 2i213 + 3i-314 b. 5i97 - 4195

A:

Q: Lineay solve this Systern (x(0), y(0)) = (3,-49) %3D %3D Find the Payticalay boloution.

A:

Q: (d) How many pairs (f, g) E F x F are there so that go f(1) #1 or go f(2) + 2? Explain.

A:

Q: 1.14. (y")? – 3yy +xy = 0 1.16. š - tš = 1- sint d"x = y +1 dy" 1.18. 3/2 1.20. + y = x dx db =3p dp...

A:

Q: 7. Re-write. the.ether..five..texated.ntegal s. ... dzdyd X -I x2 d Top: y +z= 1 Side. y =x2 ..... (...

A: xy-projection

Q: t is the minimum number of nonzero terms of the Maclaurin series for In(1 + x) that you need to use ...

A:

Q: Find. the Valume.f the Salid. baunded.by.the.cylin der. X=y. and. th.planes.Zz. and.X+Z=.. Ans.V= 8|...

A:

Q: Note: Show your work for theses problems. However, you may use a computer for matrix arithmetic. 1. ...

A: The given linear programming problem is                                                       Maximi...

Q: (a) Consider an optimization problem How are the augmented matrices for a minimization and dual maxi...

A: