a) Express the complex number (5-2i) in the form a +bż b) Epress the complex number be low in the formm a+bi- 7+4i i (6-si) C) You have been given the following matrix. A = 3-2i 2 -3 ¿ 2+4i let B=A". Find Bz1' decimals in do not include, your answers!

Q: 3. We go back to the logistic model for population dynamics (without harvesting), but we now allow t...

A: First we identify that equation in part (a) is a Linear differential equation when M is constant. Th...

Q: R. S3 H.S X1 X2 X3 S1 S2 -4 -3 12 2 0. 4 3. 9. 4 1 4 A simplex Tableau for a linear programming mode...

A: If the objective function is of maximization type. Then in the update table the value of the objecti...

Q: I. For z, = 3 – j5 and z2 = -2 +, find the rectangular form of the following: 8. (21 + 2)(21 – z2) h...

A:

Q: (Зп+5 ind infimum of A ]n E N

A:

Q: (1) Show that b3 = 1, b2 = -Tr(A) i.e. the trace of A, and bo = -det(A). (2) Give an example of C = ...

A: This is a problem of Linear Transformation.

Q: R.H.S X1 X2 X3 S1 S2 S3 -4 -3 12 2 1 4 1 4 R.H.S X1 X2 X3 S1 S2 S3 1 b In the following, two Consecu...

A: To solve this problem first we complete the second table according to simplex method process and the...

Q: The 2nd approximation to the real root of the equation x³ – x² – 1 in the interval [1, 2] using bise...

A:

Q: 10. Show that F; := 2²' + 1 is composite via Pepin's Test.

A:   ......(1) Here we are given the 7th Fermat number. We need to show that, 3F7-12≢-1(mod F7)

Q: the real root of the e section method is

A:

Q: olve the following linear programming model graphically: maximize Z = 3x, + 6x subject to

A: In this question, the concept of linear programming is applied. Linear Programming An approach to op...

Q: Determine the principal value of log; 2i A. 1- 0.441i C. 1- 3.02i B. 0.198 – 0.134i D. 1 - 1.73i

A:

Q: Consider the function f : [0, 0) → [0, ∞0), f(x) = x + 1 Prove by induction that for any n E N f"(x)...

A: The aim is to show that for any n∈ℕ, fnx=x1+nx. Proof is by the method of mathematical induction. Si...

Q: w Bw 5. Consider the generalized Rayleigh quotient R where A and B are positive %3D w Aw de finite s...

A: Given: The generalized Rayleigh quotient, Rg=wTBwwTAw Here, A and B are positive definite symmetric ...

Q: 3 Evaluate (2 + V-9)". A. 46 + 9i C. -46 + 9i B. -478 – 621i D. 8 + 27i

A:

Q: 8 EXIIIF w-fcxr y),X=2u+3 V » Provethat wuv= bW XX+5wxy-6wyy 10 11 13 12

A:

Q: Show that if a|b and b|a then a=±b.

A:

Q: Example 4 : Find the fixed point and determine its type (Attracting or Repelling )for the following ...

A: Given f(x)=3x-3x2 We have to find the fixed point and determine it's attracting or repelling. If a f...

Q: Let F be the radial force field F = ri+ yj. Find the work done by this force along the following two...

A:

Q: ne 2nd approximation to the real root of the equation e interval [1, 2] using bisection method is

A: In this question, the concept of the bisection method is applied. Bisection Method A bisection metho...

Q: 7. Prove: "If T is a tree of order n and size m, then m = n – 1." Give a concrete example to elabora...

A:

Q: points-2 Decide which of the following statements are true. Select one: O a. If æn does not converge...

A:

Q: Bisection Methoc e root of equation

A:

Q: Base Вачe 2 11100010100.01101 01111111001.1I110

A:

Q: Q7 Let A = [(p → q) ^(~p → ~q)]. Construct a truth table for A and determine if it is a tautology, c...

A: p q [(p→q)∧(~p↔~q)] 0 0 1 0 1 0 1 0 0 1 1 1 [(p→q)∧(~p↔~q)]p⇒q=q∨~p~p⇔~q=(p∧q)∨(~p∧~q)(~p...

Q: aw and ar dw O Find if as

A: In this question, the concept of the derivative is applied. Derivative  A a derivative is used to fi...

Q: 6. Find the radius of convergence of the power series 8. Σ x2n · 4n • U n=1

A:

Q: A contractor buys 14 yd of nylon carpet and 18 yd of wool carpet for $1662. A second purchase, at th...

A: We have to find the cost per yard of the wool carpet. 

Q: 4. Let X = C[0, 1] be the space of continuous real valued functions on [0, 1]. Find a subset K of X ...

A:

Q: For a given quadratic function f(æ) = x² – 46x + 120 %3D Answer : (Choose the answer in the boxes)

A:

Q: Show that the function f(x, y, z) = x² + y² – 222 sat isfies the Laplace equation. - Good Luck.

A: Given function f(x,y,z)=x2+y2-2z2. We have to show function satisfies the Laplace equation. A functi...

Q: Let A be a 3x3 matrix where A?=A. Which of the following statements must be true regarding the matri...

A: Let A be 3 × 3 matrix such that  , A2 = A. Since we have given that , A = I3 and A = 0 are two matri...

Q: Which of the following is not possible in probability distribution? Select one: O a. p(x) =-0.5 O b....

A: The probability of an event is always greater than or equal to 0 but less than or equal to 1.

Q: 3. Approximate the integral -dx using 4 trapezoids.

A:

Q: dy x fan x 2. %3D

A: Introduction: The method of separation of variables is one of the basic methods that is used to deri...

Q: Q1) Compare between Newton Raphson method and Secant method to find approximation root for f(x)=2-e*...

A: Introduction: The Newton-Raphson method and the second method are the two different approximation me...

Q: Let E be a set that bounded and c > 0. Prove that sup(cE) = -c inf(-E)

A:

Q: 1. For a given function f(x) = –7x + 3 a)slope is: b)x-intercept is: ( 0) c)y-intercept is: (0,

A:

Q: Determine if the function is continuous at the given value of c. x?+6x+5; 1. f(x) = ;C =-2 x+3 2. f(...

A:

Q: Determine whether each of the following vector fields F is path independent (conservative) or not. I...

A: As per Bartleby guidelines I can't answer more than three sub parts per post.  Please post other par...

Q: Determine the homogeneity of the following function; f(x,y) = x3 + x2y + 7 a) Not homogeneous b) H...

A: The given question is related with the homogeneity of a function. Given a function fx , y = x3 + x2y...

Q: i155 Q-when fitting the data shown in the table with a second order polynomial Y=a+bx+cx? The value ...

A: The quadratic regression technique uses a dataset to determine a quadratic function,: f(x)=a+bx+cx2 ...

Q: H.W Which of the following vectors is normal to the surface x?yz = 1 at (1,1,1)? (a) 4i +j+17k, (b) ...

A: Given the surface is x2yz=1 and (x,y,z)=(1,1,1)

Q: test for the exactness of the differentral dy + Cosx +Sinyfy -0 quation And hence find the Salution ...

A: A differential equation contains independent variables, dependent variables, and the differential co...

Q: Find the minimum and maximum values of z= 2x + 9y, if possible, for the following set of constraints...

A:

Q: Let T : V → V be the adjacency operator of the Petersen graph as illustrated in the enclosed file. H...

A:

Q: -41 Find the adjoint matrix of ": A. -2 C. 4 21 -2 В. 4 B.) [2 4 D. 01 -1

A: Given matrix is 1-402

Q: Question 2. Suppose that G is a group that has exactly one non-trivial proper subgroup. Prove that G...

A: Given: G is a group that has exactly one non-trivial proper subgroup. To prove: G is cyclic and |G|=...

Q: Let f : Nx N → N be a function defined by (n + 1)m(m + 1) f(n, m) = Answer the following questions. ...

A:

Q: )     Is this reasoning for finding the solutions of the equation √(22 – 1) = x correct? 1.1. √(22–1...

A: Given equation: 2x2-1=x

Q: Evaluate the line integral So 7y dr + 3x dy where C is the straight line path from (2, la 7uda + 3z ...

A: Introduction: A line integral is an integral that determines the function to be integrated along a c...