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Q: Question attached in photo

A: To verify the given equality regarding the limit of f(z) (z a complex variable)

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

A: To show: The given function satisfies the condition

Q: rewrite the function F = (A ⊕ B) ⊕ C without the XOR operator, ⊕.

A: The given function is F = (A ⊕ B) ⊕ C.

Q: 2. Let f and g be continous mappings on a metric space X into a metric space Y and E be a dense subs...

A: Note: As per rules, the three questions 2(a), 2(b) and 3(a) are solved. The problems concern behavio...

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

A: To anayze the behaviour of the critical points using the eigenvalues (and eigenvectors)

Q: DIFFERENTIAL EQUATIONS: Using the power series method, solve the given initial value problem: y"+x2y...

A:

Q: H(n) = 0 if n is  less than or equal to 0  H(n) = 1 if   n=1 or n=2  H(n-1) + H(n-2) - H(n-3)  if n&...

A: The conditions for H(n) is given as,

Q: Subject: Elements of Set TheoryGreetings,I am really having difficult time with these problems that ...

A: To prove the formula for the required number of combinations

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: Abstract Algebra

A: To define the concept of a subfield of a field and prove the stated property regarding subfields of ...

Q: The differential equation for a freee-falling mass m near the surface of the earth is given by:  d2s...

A: Consider the equation:

Q: I do not understand number 8. Can you explain me how to do it?  Thank you.

A: As per norms, the three parts f, g and h are answered. Questions regarding relations and functions

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

A: To prove the inequality regarding membership function of the symmetric differenece of two fuzzy sets

Q: On a Complete Graph with 8 vertices, how many possible Hamiltonian circuit are there?

A: The given graph is complete graph with 8 vertices. It is known that, a complete graph with n vertice...

Q: pls explain to me step by step and pls write clearly. thanks

A: To verify that the contraction mapping condition is NOT satisfied using the given functions f(t) and...

Q: I’m working on #25

A: To multiply by a suitable integtating factor and thereby find the solution of the given differential...

Q: Subject: College Geometry (Proofs)Book: Euclidean and Non-Euclidean GeometriesI could really need so...

A:

Q: Please help me number 8. Thanks!

A: Let  V the subspace of Rn, then the orthogonal complement of V is also subspace of Rn .

Q: Recall that for a set S, P(S) is its power set. Given two sets S and T, prove that S C T if and only...

A: Let S and T be two sets and P(S), P(T) are its power sets.Power set of a set is defined as the colle...

Q: 15. Show that these graphs are isomorphic by labeling them both. Is there an Eulerian circuit here? ...

A: Firstly, we are going to find that the graph is a isomorphism or not.The cpondition of isomorphism o...

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

A: To locate and analyze the critical points of the given non-linear system

Q: (b) After realizing the system did not produce the desired output, he decided f its components and p...

A: Let the differential equations be

Q: Differential equations: Using the power series method, find the particular solution to the initial v...

A: Consider the given initial value problem:

Q: Solve the differential equation by construction the general solution from the complementary and part...

A: To solve the given second order inhomogeneous equation

Q: The four matrices Sx, Sy, S and I are defined by 0 -1 where i2-1. Show that S I and SS iS,, and obta...

A:

Q: 4. Suppose that (X, dx) and (Y, dy) are metric spaces, and define distance on X × Y by Prove that (T...

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

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

A: To calculate the fuzzy definite integral with the given data

Q: r2 -2e = 0 has a solution in the interval -1,1] 6. (10 points) The equation f(x) (a) (5 points) With...

A: (a) The given equation is f(x) = x2 – 2ex = 0 has a solution in the interval [−1, 1].       The seca...

Q: Abstract Algebra. Please explain everything in detail.

A: To prove (or disprove)  the possibilty of required representations under the given conditions

Q: Find the first five nonzero terms in the solution to the initial value problem: (2+x2)y"-xy'+4y=0, y...

A: Consider the differential equation

Q: Find the simple interest paid on a $470 loan at 6.9% annual interest for 3 months

A: Given:The principal amount (P) is $470.The rate of interest (R) is 6.9% per year.The number of terms...

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: 4. How many permutations of the letters ABCDEFG contain: a) the string GD? b) the string AFC? c) the...

A: (a) The number of permutations of the letters ABCDEFG that contains the string GD.There are 7 letter...

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

A: To examine the complex integral of the given rational function over different contours (circles) in ...

Q: Differential equations problem. Please refer to attached image.

A: (a) The function is given as

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

A: To analyze the given system of differential equations using polar coordinates transformation

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: Abstract Algebra   The problem and D3 is given in the below picture.

A:

Q: Derive a numerical differentiation formula of order O(h4) by applying Richard- 4. extrapolation to f...

A: Its given that:

Q: z is a complex variable z=x+iy pic attached with question

A: To analyze and classify the singular points of the given function of the complex variable z

Q: evaluate Cn,x px qn-x for the values of n, x and p given below. n= 4, x=1, p= 1/2

A: The given expression is a binomial distribution with n = 4, x = 1, p = 1/2.

Q: Find all point of discontinuityz is a complex variable, z=x+iyf(z)=(1/z)-sec(z)

A: To analyze the behaviour of the given function of the complex variable z. 

Q: Define f: R->R as follows: f(x)=x-[x] if [x] is even. f(x)=x-[x+1] if [x] is odd. Determine those...

A: To find the points where the given function is continuous.Take two cases:Case 1: Let x = a is an eve...

Q: a fair die is rolled three times. what is the probability of obtaining no 2's? P(no 2's on the three...

A: To calculate the probability of the desired event under the given condtions

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: Let x be  a set containing 20 elements. Use the multiplication princple to compute |p(x)|, the size ...

A: It is given that, the number of elements in the set X has 20.The power set P(X) of a set X is the se...

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

A: Hey, since there are multiple subparts posted, we will answer first 4 questions. If you want any spe...

Q: Hello this question states calculate the integral of the following problems. These are sample proble...

A: (d)  The given integral is ∫ x-5dx.Evaluate the integral as follows.

Q: Find the general solution to given set of first order equations. Please refer to image.

A: The given set of first order equation is,

Q: 12. The original (1999) Smash Brothers contained only 12 characters. If you play with 3 friends (4 p...

A: Hi! Since you have posted multiple question and have not mentioned which one is to be answered, i am...