het A and B be monemply sets and f:AB and g:B→A. li) 2 fog is the identing frunctirn g on B, then f in amengiectine brunjectine. cii) Xg gof i the nident A, then f is injectore.

Q: Conader the functon 22ty Sz,) = Among the folowng statements, select the ones that are true. Each…

A: using the basic definition of the limit of f(x,y).

Q: Determine the infimum and supremum of the set S given by the grand union below. Write your answer as…

A: Given  I =∪n=1∞1n, 2-1n

Q: -2 4 and w= Let u = -3 -2 For what values of h is wm the plame Spanned by ut and v ? 3=

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Q: If x, y, z are integer's numbers and if x \y then x \ z then: 1) Show that x \ ym – zn for m, n e Z…

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Q: 38 lU A=[1,318],B=[,2,7,9], let x24, Wuat is tw rlation from Set A to set B? t rule

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Q: Complete the proof that AEIK AGJH. K H Statement Reason EK GH Given HI JK Given 3 FG EF Given 4 FI F…

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Q: het A and B be monemply sets and f:A-B ant :B→A. li) 24 fog i the identity fruncterin ig then f ir…

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Q: 1. LeA (2,3, 4) andB (6, 8, 10) Detise a relation R from Ato Bas follows a, y)R ma that an integer.…

A: Given that A={2,3,4} and B={6,8,10} . The relation R from A to B is defined as (x,y) ∈ R if yx is an…

Q: VI. Disprove the following statements by providing a counterexample. Use = {1,2,3,4} as the…

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Q: Consider the condition: function g on IR an d sets A,B C IR sit. 9 CA)= B but B # 9 CA). Provide an…

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Q: X4- Usr Newton Barkweerd poty nomoil to find Fco.73) fx) 0.423 1.03 t5ち子 1789.

A: Given the table of values x 0.4 0.6 0.8 1 fx 0.423 0.684 1.03 1.557

Q: b) Find the domacn of f a) Evaluate f(2,-1,6). c) Find the tange of f.

A: Here, the given function is: f(x,y,z)=ez-x2-y2...(1)

Q: Let R = {(x, y) : x, y ≤ R}. Prove or disprove that R is reflexive, symmetric and/or transitive if…

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Q: Let A and B be finite sets with |A| = m and |B| = n. a) How many functions are there from A to B? b)…

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Q: Justif) each statement with a propertv from algehra or a property of congruence I.<p=<p…

A: To justify the given statement with property of algebra or property of congruence. 1.  Given…

Q: Naj bo A- (1,2,3, 4), B- (r. M.).C- (a,6). Dani sta funkciji : A + Bing:B-C - (1,). (2. y). (3, y).…

A: Given sets A=1,2,3,4, B=x,y,z & C=a,b. f is a function from A to B defined as,…

Q: Let a, , q aud r be integers such that b<1,0sr<band a gb +r Show that ged (a, h) - god (b, r)

A: According to the question-answer guidelines, the subject expert is supposed to answer the first…

Q: 1. Complete each statement for the translation T:(x, y) → (x + 3, y - 1). a. T glides points units…

A: T:(x,y)→(x+3 , y-1)

Q: Determine the infimum and supremum of the set S given by the grand union below. Write your answer as…

A: 0,2

Q: 1. LA (2,3, 4) and B- (6, 8, 10) Detine a relation R from A to Bas follows a. y) eR means that is an…

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Q: dafine Let A and B n@t be the cardinality f a set 3. It n CA-B) = 18, n CAUB) = 70 nCAnB)= 25, be…

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Q: Which of the following begins the two main parts of a direct proof of AU (BNC) = (AUB) n(AUC)?…

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Q: şa,6şc2.Debine a selation I on. pl2) which satisfies. For all set A and B in P(X) AJB ANB+

A: Given x={a, b, c}P(x)={ {a} , {b}, {c}, {a,b}, {a,c}, {b,c}, {a,b,c}, ∅}a relation onJ: P(x)…

Q: ) (64)各 1) Cla5) s 1)(27) ir) (64 -3/2 25

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Q: Solve the parts please

A: Step 1:a) It is provided that, a,d∈N.Now, d divides a is denoted by d∣a and it is defined as…

Q: 5) a) Given f: N → N by the rule f (n) = 3n. Show it is one - one but not onto. b) Consider g: N → N…

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Q: function) and (): BxB -3 given by a) Prave Operation on B2 ass0ciative with repect to o ? that Ð is…

A: a. ⊕ is an operation on B because( f⊕g)(x)=f(x)+g(x)=integer ,which belongs to Z  therefore ⊕ is…

Q: Cocenterexaumple. To shaw that of form Ux, PW) is F, find o counterexauple, that is, on examp. K for…

A: To prove that the statement is false, it is enough to give an example for which the statement is…

Q: Consider the universal set R, define the interval A = [-7, 1], interval B = (-1,2), and C be the…

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Q: (8) Let a and b be reel mumbers such that a>o and bo and beD is not enough to gire a uniform formula…

A: No option is correct. Correct answer will be: - arctan(b/a)

Q: Q) let P aprobabiity funckion on S: La,a,a) Find plai) If:- i) pcaz) = and plas) = ii) pc{ãa, az} ,…

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Q: find the desivative d the findian bng = sin and compute gh2

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Q: T is self - adjoint then (Tx, y) is complex O normal O real O prime o

A: T is self adjoint

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A: Since solve the first question for you. If youwant any specific question to be solved then please…

Q: ) Llet Pzlal y=fGl =x-Sx+10 f the pomts Xo, Xi, and x, . 2 be Evaluate' the For

A: Given, P2(x) be the polynomial interpolating               y=f(x)=x2-5x+10 of the points x0, x1 and…

Q: Let R = {(0, 0), (1, 1), (-1, -1)} be a relation on set A. Deduce the rule between x and y for order…

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