dE/dS-

Q: .Let Z2 be an algebraic closure of Z2, and let a, ß e Z2 be zeros of x3 x2+1 and of x3 +x + 1, respe...

A: We know that, a function h(x) (say, of degree 3) is reducible over ℤ2, if and only if it has zero in...

Q: Pls explain to me step by step. pls dont skip any steps. thanks

A: To analyze the given non-linear system using the relevant theorems

Q: 5.2.8       Discrete Mathematics This is a dublicate please answer the question as quickly as possib...

A: Here, it is given that the store offers gift certificates in denominations of $25 and $40.Since, bot...

Q: Given a matrix where α and β are non-zero complex numbers, find its eigenvalues and eigenvec- tors. ...

A:

Q: Prove or disprove, as appropriate: If G x H is a cyclic group then G and H are cyclic groups.

A: GIven two groups G and H such that GxH is cyclic. True or false: G and H themselves are cyclic

Q: :Show how you will code the dummy variables in this model, in other words fill in 13 rows with your ...

A: In the given, the total number of months are 12, so it can use (12–1)=11 dummy variables.

Q: of 2 3. If you read 20 books this year, a. How many different sets of 6 books could you recommend so...

A: Total number of books read this year, n = 20(a) To find the number of different sets of 6 books that...

Q: 6.3.22 How many permutations of the letters ABC DEF GH contain D the string AB, DE, and BED?

A: The given letters are ABCDEFGH.Obtain the permutations as follows.

Q: Evaluate the integral in which å, b are the derivatives of a, b with respect to t.

A: Evaluate the given integral as follows.Observe the fact that the dot product always results in numer...

Q: Pls explain to me step by step. Pls dont skip ay steps. thanks

A: Suppose P=(x0,y0) is an critical point of the system x\'=f(x,y) , y\'=g(x,y),and that f and g are di...

Q: Please help!

A: To establish some basic facts about the determinant of a linear transformation T from U to U (U a ve...

Q: Differential equations Find the general solution to the given systems of equations. Please refer to ...

A: Hey, since there are multiple subparts posted, we will answer first question. If you want any specif...

Q: 7. Find f(4) if f is defined recursively by f(0) = 2, f(1) = 3 and f(n+ 1) 4f(n) -3f(n-1)

A: To find: The value of f (4).Given: The recursive function is defined as

Q: Question attached. Z is a complex variable, z=x+iy

A: To verify the Laplace equation (harmonicity condition ) for the given function and to find its harmo...

Q: Mechanical Vibrations (differential equations) A mass weighing 4 pounds is attached to a sping whose...

A: Let m be the mass attached, k be the spring constant and let b be a positive damping constant.Then, ...

Q: Problem B. Recall that a order relation is a well-ordering, if every nonempty set has a smallest ele...

A:

Q: Differential Equations a) Transform the equation into a system of first order equations: y"+5y'+2y=3...

A: a).The given equation is,

Q: Need help with Differential Equations homework. Help with 4 problems. Apply Laplace Transform to fin...

A: Hey, since there are multiple questions posted, we will answer first question. If you want any speci...

Q: Z is a complex variable z=x+iy  question attached as photo

A: Consider the closed integral

Q: Parallel circuit:e=12 voltsR1=4 ohmsR2=4 ohmsIt= ?

A: The circuit diagram can be drawn as given below.

Q: Use Laplace transforms to find the solution to the intial value problem Please refer to image

A: The given initial value problem is

Q: 5.4 the book is "First Course on Fuzzy Theory and Applications" please, I need the solution of part ...

A: Consider the following given fuzzy sets:

Q: Abstract Algebra. Answer in detail please.

A: An nth root of unity ε is an element such that εn = 1. It is said that ε is primitive if every nth r...

Q: Show that λis a root of char(x) if and only if there exosts a non-zero vector v in V with L(v)=λv

A: Assume that λ is a root of charL(x) then | λIdv–L | = 0. It is known that, the system of Bx = 0 has ...

Q: I need help for the proof of question 2. Thank you very much!

A: Given: 

Q: 8. Suppose a vending machine accepts $1 bills, $1 silver coins and $1 gold coins, $3 bills and $3 go...

A: 8.a. To find the recurrence relation for the number of ways to deposit n dollars in the vending mach...

Q: For any sets A, B, and C, prove that Ac Bnc if and only if A c B and A CC

A: Consider the statement,

Q: 14. A stair stringer is to be cut to reach a 2nd story floor in a house with nine foot ceilings. The...

A: The total rise is 106 inches.Let x be the number of rises and y be the actual rise height.Since all ...

Q: 1. Find a formula for the sum: 2+ 6+ 10 ... + 2(2n - 1)

A: The given sequence is 2+6+10+... +2(2n–1).

Q: 5.2.6.B       Discrete Mathematics This is a dublicate please answer the question as quickly as poss...

A: Known fact:Base step: Show it is true for first case, usually n =1.Induction step: Show that if n = ...

Q: Let z be a complex variable  z=x+iy question attached in pic

A: The problem concerns the evaluation of the given line integral along various paths  and to show that...

Q: Determine whether (p → r) V (q → r) (p V q) → r

A: Construct the truth table for p, q and r and use p and r to find the p →r.

Q: Let T : R^3 --> R^3 be a linear transformation that reflects each vector x = (x1,x2 ,x3) through ...

A:

Q: the book is "First Course on Fuzzy Theory and Applications"

A: To prove that the given fuzzy set is convex and to determine the α-cut sets for the given values of ...

Q: This exercise considers a crystal whose unit cell has base vectors that are not necessarily mutually...

A: To discuss the properties of the reciprocal basis to the given basis of vectors

Q: the book is "First Course on Fuzzy Theory and Applications"

A: Consider Part a) and use the following:

Q: Abtract Algebra

A: to explain the proof of the statement: "Every prime ideal in R is principal implies every ideal in R...

Q: 3. Suppose f(z) is continuous in the closed disk {려くR) and analytic in the open disk {|z| < R). Show...

A: To extend Cauchy's theorem to the boundary of the domain of anaylyticity ,under the given conditions

Q: z is a complex variable z=x+iyShow that f(z)=((z^2)+1)/((z^2)-3z+2) is continuous for all z outside ...

A: The problem concerns the continuity of a rational function over an open set.

Q: at what points x in the interval (-1,1] can one use the Lagrange Remainder Theorem to verify the exp...

A: The LaGrange remainder theorem:f (x) be a real valued function defined in I,i) f (x) has derivative ...

Q: Show that the field R(i) as a vector space over R has a basis { 1 , i } and is isomorphic to  R_2, w...

A: The field ℝ (i) is defined as ℝ (i) = {a + bi| a, b ϵ ℝ}.That implies, ℝ (i) = {a × 1+ b × i | a, b ...

Q: 2. If you have 7 types of candy, how many pieces of candy would you have to guarantee that you had a...

A:

Q: I am stuck in the below image. pls check my work and show me the rest of the works step by step . de...

A: To solve the given linear  system of differential equations.

Q: Pls explain to me step by step and pls dont skip any step. Thanks

A: To prove that the taxicab distance is actually a metric on the plane

Q: YES / NO Use the tables to determine whether these two statements are equivalent. pVq 9

A:

Q: Question 2.b. Show that if char(x) has distinct roots, then there exists a basis v1....vn with repse...

A: To prove that the linear operator L can be represented as a diagonal matrix , under the given hypoth...

Q: Find all values of the complex function of z for the e^(3z)=1z=x+iy

A: Its given that e3z = 1.  Given, z=x+iyWe need to sovle for z.

Q: Show that the families defined in Examples 5.3.1, 5.3.2, 5.3.3, and 5.3.4 are in fact uniformities. ...

A:  As per norms , Question 5.3.2 (with multiplie parts)  is answered. (the others may be posted as sep...

Q: Use the method of separable equations to solve the following initial value problems. dx/dt= xsin(t)...

A: It is given that dx/dt=xsin(t) with initial condition x(0) =1 and xy′=y2 with initial condition y(1)...

Q: 5. Sixteen people on a softball team show up for a game. a) How many ways are there to choose 9 play...

A: Find the number of ways to choose 9 players out of 16 people.