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Q: Consider the following graph, which represents the one-way airfare between five cities. A B C D...

A: 1.Given that, A, B, C, D and E are vertices to denote the cities and weights on appropriate edges to...

Q: Question 1: Suppose that X is infinite. Show that the Fr ́echet filter on X is not an ultrafilter...

A: As per norms, Questions 1 is answered (multiple subparts).Question 2 may be posted separately, as i...

Q: 0, 2 is defined by A natural cubic spline S on 5. So()12x - 0 if 1 (1) S(r)2b(x1)c(x - 1)2d(x - 1) i...

A: 5.Note that, the natural cubic spline must satisfy the conditions

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

A: As per norms the first three parts a),b) and c) are answered. To determine the various fuzzy propert...

Q: Use quantifiers and logical connectives to express the fact that a quadratic polynomial with real nu...

A: To express the given fact about quadratic polynomials in the language of Boolean algebra

Q: Abstract Algebra

A: To find non-negative representations under the given conditions

Q: MECHANICAL VIBRATIONS PROBLEM (Differential Equations): A force of 400 Newtons stretches a spring 2 ...

A: Let x(t) be the position function and v(t) be the velocity function.Given that, the initial displace...

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

A: We are going to find the Distances by the following methods:

Q: Abstract Algebra: Hello im looking for help on this problem

A: Let G be a group, and H be a normal subgroup of G. Assume that G is cyclic.To prove: G/H is cyclic....

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

A: To prove: All the α–cuts of any fuzzy set A defined on Rn are convex if and only if

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

A: To find the membership function of the fuzzy set determined by A, B and R

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

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

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: I need help with this problem Please. Thanks!

A: To convert the word problem into inequalities and represent them graphically

Q: 1. Suppose that {an} and {b.) are bounded sequences. Show that lim sup an lim supbn. lim sup an +bn ...

A: As per norms, the first question is answered, To prove the property of lim sup under addition of seq...

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

A: To prove that the system is asymptotically stable under the given conditions.

Q: Prove or disprove: Let a and b be integers and let p be a prime number. if p | ab then p | a or p | ...

A: The above statement is termed as Euclid’s Lemma.We will prove it in two ways: -First one: -Let us co...

Q: 7. How many different ways can you rearrange the letters in the word: STRESSOR

A: To find the number of different ways to rearrange the letters in the word: STRESSOR.Required number ...

Q: z is a complex variable z=x+iyFind all points of discontinuityf(z)=(3z^2 +4)/(z^4 -16)

A: To locate the points of discontinuity of the given function f(z) of the complex variable z.

Q: Abstract Algebra. Please explain everything in detail.

A: To prove the stated properties pertaining to the subfields of the given field

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: .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: Let u and v be vectors in R^n. It can be shown that the set P of all points in the parallelogram det...

A: Given:

Q: Use the graph of f and g to find the following: f(-2)+g(-1) f(g(-3)) f(2)+g(0) g(f(0))

A: Find the values of f(-2)+g(-1), f(g(-3)), f(2)+g(0), and g(f(0)).

Q: Use definition in #61 to solve the question for #66

A: To prove:

Q: How many possible graphs can be created on 5 distinct vertices?

A: To calculate the total number of graphs with 5 vertices

Q: emily kailyn received an inheritance of $208,000.00 from her grandfather and invested part at 10% in...

A: Follow below steps to obtain the answer: -As we know that formula for calculating simple interest is...

Q: For this question you need to use Combination, Permutation and Complement principal.

A: As per norms, the first three questions are answered. To find the number of element in various comb...

Q: See attachment for question.

A: Click to see the answer

Q: A service has five tasks, performed in sequence. In the instance when there is more than one worker...

A: (a) Compute the capacity of the process as a whole as follows.

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: 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: lick Here For Printable Version Do not press Submit until all questions are colored green and you ha...

A: Calculation:Shade (B Ո C) in the given venn diagram.In general intersection set of two set will con...

Q: 5.2.6 Discrete Mathematics (I filled in as much as I could) A) determine which amounts of ...

A: (A)We are given that the postage can be formed by using the stamps of just 3-cent and 10-cent only,S...

Q: Can you help me see how to answer this problem step by step?

A: Height of staircase is 106 feet.The number of rises so the height of each rise is as near of 7 inche...

Q: Abtract Algebra

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

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

A: We know some general Laurant series expansion of ex,cosx,coshx as following :

Q: 6. A croissant shop has 7 types of croissants: plain, cherry, chocolate, almond, apple, cheese and h...

A: (a) The shop has 7 types of croissants.So n = 7. To choose one dozen croissants, so r = 12.Repetitio...

Q: 3. Suppose {fa) is an equicontinuous sequence of functions on a compact set K, and U.) converges poi...

A: Click to see the answer

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: Solve the given initial value problem by using the method of exactness. xy dx+(2x2+3y2-20)dy=0, y(0...

A: First identify M and N and check that the differential equation is exact.

Q: Reduction of order can be used to find the general solution of a non-homogeneous equation. a2(x)y"+a...

A: Consider the given equation:

Q: Abstract Algebra

A: To show that the degree of the minimal polynomial of any complex number over R is of degree at most...

Q: See attachment for question.

A: Click to see the answer

Q: O= {-32, -8, -2, -1, 1, 4, 16, 64) N= {1.2.4.8} u- -32, -8, -2, -j, 1, 2, 1002, 8, 1004, 10003, 64) ...

A: Here, We are answering first four part of the question,We have given set is as follows:

Q: Question attached. I have found solutions to this probem on the internet, but I don't understand th...

A: Let N be a given positive integer and let p be the least prime number greater than N + 1.Let n be an...

Q: I’m working on #25

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

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: 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...