Math Homework Answers - Recent questions tagged mathematical proofs
https://www.mathhomeworkanswers.org/tag/mathematical+proofs
Powered by Question2Answerproof of summation by induction
https://www.mathhomeworkanswers.org/245971/proof-of-summation-by-induction
Let m and n be positive integers. Let f(i,j) be an expression defined for every i∈{1,…,m} and every j∈{1,…,n}. Prove that ∑i=1m∑j=1nf(i,j)=∑j=1n∑i=1mf(i,j).<br />
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(Hint: Use induction on n.)Other Math Topicshttps://www.mathhomeworkanswers.org/245971/proof-of-summation-by-inductionSat, 23 Sep 2017 03:12:57 +0000prove that ||x+y|| less than or equal to ||x|| + ||y||
https://www.mathhomeworkanswers.org/245960/prove-that-x-y-less-than-or-equal-to-x-y
Prove and state when the equality sign is attainedOther Math Topicshttps://www.mathhomeworkanswers.org/245960/prove-that-x-y-less-than-or-equal-to-x-yFri, 22 Sep 2017 16:03:58 +0000Prove that Principle for equality of fraction?
https://www.mathhomeworkanswers.org/243331/prove-that-principle-for-equality-of-fraction
Prove that a/b=c/d⇔ad=bc (Principle for equality of fraction)Algebra 1 Answershttps://www.mathhomeworkanswers.org/243331/prove-that-principle-for-equality-of-fractionThu, 22 Jun 2017 23:26:20 +0000show that linear transformation and matrices are equivalent.
https://www.mathhomeworkanswers.org/241361/show-that-linear-transformation-and-matrices-are-equivalent
<p><span style="font-family:arial,helvetica,sans-serif">Let </span></p>
<p style="margin-left: 40px;"><span style="font-family: arial, helvetica, sans-serif;">M=set of all matrices </span></p>
<p style="margin-left: 40px;"><span style="font-family: arial, helvetica, sans-serif;">T=set of all linear transformation</span></p>
<p><span style="font-family: arial, helvetica, sans-serif;">show that M~T. f:T</span>→M such that f=A</p>Algebra 2 Answershttps://www.mathhomeworkanswers.org/241361/show-that-linear-transformation-and-matrices-are-equivalentMon, 01 May 2017 04:49:54 +0000mathematical proofs-topic:relations
https://www.mathhomeworkanswers.org/231971/mathematical-proofs-topic-relations
Let A = {0, 1} 3 : that is, A is the set of all ordered triples with entries from 0 and 1.<br />
<br />
Then define a relation R ⊆ A × A such that xRy if and only if x and y have the same number of 0s. Note that R is an equivalence relation.<br />
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Give the partition of A created by the equivalence classes of ROther Math Topicshttps://www.mathhomeworkanswers.org/231971/mathematical-proofs-topic-relationsFri, 18 Nov 2016 04:27:21 +0000mathematical proofs-topic:relation
https://www.mathhomeworkanswers.org/231970/mathematical-proofs-topic-relation
Cigol is a student who dislikes truth tables. Cigol is considering statements that are made out of statements P and Q (possibly repeated), together with the symbols ∨, ∧, and ∼. Cigol will call two statements “related” if they agree in at least three of the four columns of a truth table. For example: the statements P ∨Q and (P ∨Q)∧ ∼ (P ∧Q) agree in three cases (P and Q both false; P true and Q false; P false and Q true), so Cigol calls them related.<br />
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Show that Cigol’s relation is not an equivalence relation.Other Math Topicshttps://www.mathhomeworkanswers.org/231970/mathematical-proofs-topic-relationFri, 18 Nov 2016 04:14:50 +0000mathematical proofs-topic:relation
https://www.mathhomeworkanswers.org/231969/mathematical-proofs-topic-relation
Below, we describe four relations on the integers. For each, prove or disprove that it is an equivalence relation. For the equivalence relation(s), describe [26], either by writing out all its terms, or by noticing that it is a familiar set.<br />
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(a) Q ⊆ Z × Z, Q = {(a, b) : gcd(a, b) > 1}<br />
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(b) R ⊆ Z × Z, R = {(a, b) : |a − b| < 2}<br />
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(c) S ⊆ Z × Z, S = {(a, b) : a 2 = b 2}<br />
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(d) T ⊆ Z × Z, T = {(a, b) : a 2 ≡ b 2 mod 4}Other Math Topicshttps://www.mathhomeworkanswers.org/231969/mathematical-proofs-topic-relationFri, 18 Nov 2016 04:13:04 +0000Proof by the method of contradiction ,if sin a =O then a =k(pi) for any integer k
https://www.mathhomeworkanswers.org/228964/proof-the-method-contradiction-if-sin-then-pi-for-any-integer
a represent an angle teta<br />
<br />
Pi = the symbol for PiAlgebra 1 Answershttps://www.mathhomeworkanswers.org/228964/proof-the-method-contradiction-if-sin-then-pi-for-any-integerWed, 19 Oct 2016 12:22:45 +0000If x and y are real numbers such that x+y is irrational,then at least one of x,y is rational
https://www.mathhomeworkanswers.org/228966/and-real-numbers-such-that-irrational-then-least-one-rational
x and y are real numbersAlgebra 1 Answershttps://www.mathhomeworkanswers.org/228966/and-real-numbers-such-that-irrational-then-least-one-rationalWed, 19 Oct 2016 12:21:00 +0000If sin a =0 then a =k (pi) for any integer k
https://www.mathhomeworkanswers.org/228967/if-sin-a-0-then-a-k-pi-for-any-integer-k
The symbol for pi =pi<br />
<br />
a represents tetaAlgebra 1 Answershttps://www.mathhomeworkanswers.org/228967/if-sin-a-0-then-a-k-pi-for-any-integer-kTue, 18 Oct 2016 16:03:13 +0000Prove that mx(x^2+2x+3) = x^2-2x-3 has exactly 1 real root if m = 1 & exactly 3 real roots if m = -2/3
https://www.mathhomeworkanswers.org/199264/prove-that-mx-2x-2x-has-exactly-real-root-if-exactly-real-roots
Prove that mx(x^2+2x+3) = x^2-2x-3 has exactly 1 real root if m = 1 & exactly 3 real roots if m = -2/3Other Math Topicshttps://www.mathhomeworkanswers.org/199264/prove-that-mx-2x-2x-has-exactly-real-root-if-exactly-real-rootsWed, 01 Jun 2016 23:00:11 +0000If the solution to an equation is substituted into the original equation, the result should be a true statement
https://www.mathhomeworkanswers.org/202747/solution-equation-substituted-original-equation-statement
If the solution to an equation is substituted into the original equation, the result should be a true statement<br />
<br />
A. True<br />
B. False<br />
C. Not enough information givenWord Problem Answershttps://www.mathhomeworkanswers.org/202747/solution-equation-substituted-original-equation-statementThu, 30 Jul 2015 23:06:34 +0000which factorization can be used to reveal the zero of the function f(n) = -12n^2 - 11n + 15
https://www.mathhomeworkanswers.org/193012/which-factorization-can-used-reveal-zero-the-function-12n-11n
Need help.Algebra 1 Answershttps://www.mathhomeworkanswers.org/193012/which-factorization-can-used-reveal-zero-the-function-12n-11nSun, 08 Mar 2015 23:55:09 +0000Parallel line proofs
https://www.mathhomeworkanswers.org/175343/parallel-line-proofs
Given: a]]b;c]]d Prove: m < 9 + m < 14 = 180Geometry Answershttps://www.mathhomeworkanswers.org/175343/parallel-line-proofsSun, 26 Oct 2014 22:03:54 +0000work = 20n x 100m
https://www.mathhomeworkanswers.org/170737/work-20n-x-100m
work = 20n x 100mAlgebra 1 Answershttps://www.mathhomeworkanswers.org/170737/work-20n-x-100mMon, 20 Oct 2014 17:09:56 +0000Prove that every odd integer is either of the form 4k + 1 or of the form 4k + 3 for some integer k.
https://www.mathhomeworkanswers.org/149551/prove-that-every-integer-either-the-form-form-for-some-integer
The key to solve this problem is through using the proof of the division algerithm.Other Math Topicshttps://www.mathhomeworkanswers.org/149551/prove-that-every-integer-either-the-form-form-for-some-integerThu, 11 Sep 2014 20:12:51 +0000prove that1/(x+1)-1/(x+2)+1/(x+3)....... converges
https://www.mathhomeworkanswers.org/143034/prove-that1-x-1-1-x-2-1-x-3-converges
if x is not an integerOther Math Topicshttps://www.mathhomeworkanswers.org/143034/prove-that1-x-1-1-x-2-1-x-3-convergesWed, 27 Aug 2014 13:52:31 +0000prove Let a b and c be integers. If a|b and a|c then a|(b+c)
https://www.mathhomeworkanswers.org/140109/prove-let-a-b-and-c-be-integers-if-a-b-and-a-c-then-a-b-c
Number theory proofsOther Math Topicshttps://www.mathhomeworkanswers.org/140109/prove-let-a-b-and-c-be-integers-if-a-b-and-a-c-then-a-b-cThu, 21 Aug 2014 00:38:09 +00001. Let # be defined by z # w = zw. If x = 5 # a, y = 5 # b and a + b = 3, what is the value of xy?
https://www.mathhomeworkanswers.org/132447/let-%23-be-defined-by-z-%23-w-zw-if-x-5-a-b-and-a-b-3-what-is-the-value-of-xy
need the answear for above problemAlgebra 2 Answershttps://www.mathhomeworkanswers.org/132447/let-%23-be-defined-by-z-%23-w-zw-if-x-5-a-b-and-a-b-3-what-is-the-value-of-xyWed, 04 Jun 2014 19:13:19 +00002^n+3^n+4^n+5^n divisible by 7 if n is odd (prove)
https://www.mathhomeworkanswers.org/132154/2-n-3-n-4-n-5-n-divisible-by-7-if-n-is-odd-prove
<p><span style="font-family:arial,helvetica,sans-serif"> here n should be odd number.</span></p>Other Math Topicshttps://www.mathhomeworkanswers.org/132154/2-n-3-n-4-n-5-n-divisible-by-7-if-n-is-odd-proveSun, 01 Jun 2014 06:38:38 +0000show that there is no three connected graph with seven edges
https://www.mathhomeworkanswers.org/128300/show-that-there-is-no-three-connected-graph-with-seven-edges
this topic comes under graph connectivityOther Math Topicshttps://www.mathhomeworkanswers.org/128300/show-that-there-is-no-three-connected-graph-with-seven-edgesFri, 18 Apr 2014 01:27:57 +0000proof help
https://www.mathhomeworkanswers.org/127561/proof-help
prove that the perpendicular is the shortest line segment joining an external point to a line.Geometry Answershttps://www.mathhomeworkanswers.org/127561/proof-helpWed, 09 Apr 2014 03:41:00 +0000Proof By Induction with differentials
https://www.mathhomeworkanswers.org/113682/proof-by-induction-with-differentials
<p>y<span style="font-size:8px"> n<span style="font-size:14px"> means the nth differential of f(x)</span></span></p>
<p><span style="font-size:8px"><span style="font-size:14px">f(x) = arcsinx</span></span></p>
<p><span style="font-size:8px"><span style="font-size:14px">Prove by induction that (1-x^2)y<span style="font-size:8px">n+2<span style="font-size:14px"> - (2n+1)xy<span style="font-size:8px">n+1<span style="font-size:14px"> -y<span style="font-size:8px">n </span> n^2 = 0</span></span></span></span></span></span></p>Other Math Topicshttps://www.mathhomeworkanswers.org/113682/proof-by-induction-with-differentialsFri, 15 Nov 2013 07:56:01 +0000prove that in a group if aba^-1b^-1=e then ab=ba
https://www.mathhomeworkanswers.org/111258/prove-that-in-a-group-if-aba-1b-1-e-then-ab-ba
it is for modern al gebraOther Math Topicshttps://www.mathhomeworkanswers.org/111258/prove-that-in-a-group-if-aba-1b-1-e-then-ab-baSun, 27 Oct 2013 12:42:27 +0000how many no. of spanning subgraph of connected graph of n vertices.and prove it
https://www.mathhomeworkanswers.org/111234/many-spanning-subgraph-connected-graph-vertices-and-prove
How many no. of spanning subgraph in connected graph of n vertices and also prove it.least common multiplehttps://www.mathhomeworkanswers.org/111234/many-spanning-subgraph-connected-graph-vertices-and-proveSun, 27 Oct 2013 01:46:41 +0000if |X| is a random variable then show that X may not be r.v.
https://www.mathhomeworkanswers.org/110818/if-x-is-a-random-variable-then-show-that-x-may-not-be-r-v
random variableOther Math Topicshttps://www.mathhomeworkanswers.org/110818/if-x-is-a-random-variable-then-show-that-x-may-not-be-r-vWed, 23 Oct 2013 18:27:58 +0000if X is a random variable then show that mod (X) is also a random variable.
https://www.mathhomeworkanswers.org/110817/if-is-random-variable-then-show-that-mod-also-random-variable
bounded random variableOther Math Topicshttps://www.mathhomeworkanswers.org/110817/if-is-random-variable-then-show-that-mod-also-random-variableWed, 23 Oct 2013 18:21:47 +0000prove circles second theorem
https://www.mathhomeworkanswers.org/110385/prove-circles-second-theorem
please prove the second theorem of circles -theorem 10.2Other Math Topicshttps://www.mathhomeworkanswers.org/110385/prove-circles-second-theoremMon, 21 Oct 2013 10:29:58 +0000let * be a binary operation of integers defined by a*b= a+b - ab
https://www.mathhomeworkanswers.org/109555/let-be-a-binary-operation-of-integers-defined-by-a-b-a-b-ab
<p><strong>please provide exmaples showin whether the above question is commutative and associative and whether integers are closed under *.</strong></p>Other Math Topicshttps://www.mathhomeworkanswers.org/109555/let-be-a-binary-operation-of-integers-defined-by-a-b-a-b-abTue, 15 Oct 2013 08:30:52 +0000prove that nth polygon is a circle mathematically?(by applying limit or graphically)
https://www.mathhomeworkanswers.org/107572/prove-polygon-circle-mathematically-applying-graphically
How can I show that a sequence of regular polygons with n sides becomes more and more like a circle as n→∞?Calculus Answershttps://www.mathhomeworkanswers.org/107572/prove-polygon-circle-mathematically-applying-graphicallyWed, 02 Oct 2013 11:55:06 +0000show that if (yn) is bounded then lim(xn)=0
https://www.mathhomeworkanswers.org/105806/show-that-if-yn-is-bounded-then-lim-xn-0
Topic from real analysisAlgebra 1 Answershttps://www.mathhomeworkanswers.org/105806/show-that-if-yn-is-bounded-then-lim-xn-0Sun, 22 Sep 2013 14:06:36 +0000the sum of 78,95 and 54
https://www.mathhomeworkanswers.org/100853/the-sum-of-78-95-and-54
the sum of 78, 95 and 54Word Problem Answershttps://www.mathhomeworkanswers.org/100853/the-sum-of-78-95-and-54Sun, 25 Aug 2013 23:20:42 +0000to prove f is continuous
https://www.mathhomeworkanswers.org/99544/to-prove-f-is-continuous
(a) Suppose that $f:\mathbf{R}\to\mathbf{R}$ is ``continuous from the right'', that is, $\displaystyle{ \lim_{x\to a+}f(x)=f(a),}$ for each $a\in\mathbf{R}$ . Show that $f$ is continuous when considered as a function from $\mathbf{R}_{\ell}$ to $\mathbf{R}$ . (b) Can you conjecture what functions $f:\mathbf{R}\to\mathbf{R}$ are continuous when considered as maps from $\mathbf{R}$ to $\mathbf{R}_{\ell}$ ? As maps from $\mathbf{R}_{\ell}$ to $\mathbf{R}_{\ell}$ ?Other Math Topicshttps://www.mathhomeworkanswers.org/99544/to-prove-f-is-continuousThu, 15 Aug 2013 16:48:25 +0000prove that m(n+1)+1/m(n+1)-n cannot be simplified
https://www.mathhomeworkanswers.org/94627/prove-that-m-n-1-1-m-n-1-n-cannot-be-simplified
topics including real numbersWord Problem Answershttps://www.mathhomeworkanswers.org/94627/prove-that-m-n-1-1-m-n-1-n-cannot-be-simplifiedTue, 02 Jul 2013 15:23:57 +0000prove that c0+c1+c2+---+cn=1+2+2pow2+----+2pow(n-1)
https://www.mathhomeworkanswers.org/93589/prove-that-c0-c1-c2-cn-1-2-2pow2-2pow-n-1
This is a binomial theorm problemAlgebra 1 Answershttps://www.mathhomeworkanswers.org/93589/prove-that-c0-c1-c2-cn-1-2-2pow2-2pow-n-1Wed, 26 Jun 2013 12:16:26 +00003678 in column method
https://www.mathhomeworkanswers.org/93539/3678-in-column-method
3678 column methodWord Problem Answershttps://www.mathhomeworkanswers.org/93539/3678-in-column-methodWed, 26 Jun 2013 07:30:01 +0000How many four letter sub-sets are possible that contain either A or E but not both
https://www.mathhomeworkanswers.org/93288/many-four-letter-sets-possible-that-contain-either-but-both
Four distinct letters are to be drawn from the set {A,B,C,D,E,F and G}. You are to create sub -sets out of these letters. Examples of a sub-set would be {A,C,D,F}, {E,B,D,G}etc. A sub-set is like grouping the letters into smaller sets. How many four letter sub-sets are possible that contain either A or E, but not bothStatistics Answershttps://www.mathhomeworkanswers.org/93288/many-four-letter-sets-possible-that-contain-either-but-bothTue, 25 Jun 2013 01:36:55 +0000the proof of -(-x)=x
https://www.mathhomeworkanswers.org/93019/the-proof-of-x-x
about real analysisAlgebra 2 Answershttps://www.mathhomeworkanswers.org/93019/the-proof-of-x-xSun, 23 Jun 2013 15:07:01 +0000prove S(t)=[1+na(cos2 πfmt)]cos2πfct equals S(t)=[cos2πfct = na/2cos2π(fc-fm)t + na/2cos2π(fc+fm)]
https://www.mathhomeworkanswers.org/92531/prove-cos2-%CF%80fmt-cos2%CF%80fct-equals-cos2%CF%80fct-na-2cos2%CF%80-fm-2cos2%CF%80
<p>
<span style="font-family:comic sans ms,cursive;"><em><strong>please assist me.</strong></em></span></p>Trigonometry Answershttps://www.mathhomeworkanswers.org/92531/prove-cos2-%CF%80fmt-cos2%CF%80fct-equals-cos2%CF%80fct-na-2cos2%CF%80-fm-2cos2%CF%80Thu, 20 Jun 2013 07:28:47 +0000if n(p(A))=64 then n(A)=?
https://www.mathhomeworkanswers.org/91889/if-n-p-a-64-then-n-a
based on propabilityWord Problem Answershttps://www.mathhomeworkanswers.org/91889/if-n-p-a-64-then-n-aSun, 16 Jun 2013 12:44:03 +0000which of the symbols < less than or > greater than should be used to make statement -1 true?
https://www.mathhomeworkanswers.org/90973/which-symbols-greater-than-should-used-make-statement-true
which of the symbols < or > should be used to make statement -1 true?Word Problem Answershttps://www.mathhomeworkanswers.org/90973/which-symbols-greater-than-should-used-make-statement-trueTue, 11 Jun 2013 01:06:31 +0000if T(n)=n2-1 find T(n)-2
https://www.mathhomeworkanswers.org/90548/if-t-n-n2-1-find-t-n-2
It is a sequence question...exercise:1.2 Sub question number c under 3 number questionorder of operationshttps://www.mathhomeworkanswers.org/90548/if-t-n-n2-1-find-t-n-2Sat, 08 Jun 2013 14:20:45 +0000Let{fn} be a sequence of continuous functions which converges uniformly to a function f on a set A.
https://www.mathhomeworkanswers.org/90167/sequence-continuous-functions-converges-uniformly-function
Let{fn} be a sequence of continuous functions which converges uniformly to a function f on a set A.Then prove that lim[n:∞,]fn(xn)=f(x) for every sequence of a points xn belongs to A such that xn tends to x,and x belongs to A.Is the converse of this true?Explain with exampleCalculus Answershttps://www.mathhomeworkanswers.org/90167/sequence-continuous-functions-converges-uniformly-functionThu, 06 Jun 2013 12:45:54 +00001. If acos3Ɵ + 3acosƟsin2Ɵ = m, asin3Ɵ + 3acos2ƟsinƟ = n, prove that (m+n)2/3 + (m-n)2/3 = 2a2/3
https://www.mathhomeworkanswers.org/87451/if-acos3%C9%B5-3acos%C9%B5sin2%C9%B5-asin3%C9%B5-3acos2%C9%B5sin%C9%B5-prove-that-n-2-2a2
1. If acos3Ɵ + 3acosƟsin2Ɵ = m, asin3Ɵ + 3acos2ƟsinƟ = n, prove that (m+n)2/3 + (m-n)2/3 = 2a2/3Trigonometry Answershttps://www.mathhomeworkanswers.org/87451/if-acos3%C9%B5-3acos%C9%B5sin2%C9%B5-asin3%C9%B5-3acos2%C9%B5sin%C9%B5-prove-that-n-2-2a2Thu, 23 May 2013 13:41:16 +00001. If acos3Ɵ + 3acosƟsin2Ɵ = m, asin3Ɵ + 3acos2ƟsinƟ = n, prove that (m+n)2/3 + (m-n)2/3 = 2a2/3
https://www.mathhomeworkanswers.org/87450/if-acos3%C9%B5-3acos%C9%B5sin2%C9%B5-asin3%C9%B5-3acos2%C9%B5sin%C9%B5-prove-that-n-2-2a2
1. If acos3Ɵ + 3acosƟsin2Ɵ = m, asin3Ɵ + 3acos2ƟsinƟ = n, prove that (m+n)2/3 + (m-n)2/3 = 2a2/3Trigonometry Answershttps://www.mathhomeworkanswers.org/87450/if-acos3%C9%B5-3acos%C9%B5sin2%C9%B5-asin3%C9%B5-3acos2%C9%B5sin%C9%B5-prove-that-n-2-2a2Thu, 23 May 2013 13:37:49 +00001. If acos3Ɵ + 3acosƟsin2Ɵ = m, asin3Ɵ + 3acos2ƟsinƟ = n, prove that (m+n)2/3 + (m-n)2/3 = 2a2/3
https://www.mathhomeworkanswers.org/87447/if-acos3%C9%B5-3acos%C9%B5sin2%C9%B5-asin3%C9%B5-3acos2%C9%B5sin%C9%B5-prove-that-n-2-2a2
1. If acos3Ɵ + 3acosƟsin2Ɵ = m, asin3Ɵ + 3acos2ƟsinƟ = n, prove that (m+n)2/3 + (m-n)2/3 = 2a2/3Trigonometry Answershttps://www.mathhomeworkanswers.org/87447/if-acos3%C9%B5-3acos%C9%B5sin2%C9%B5-asin3%C9%B5-3acos2%C9%B5sin%C9%B5-prove-that-n-2-2a2Thu, 23 May 2013 13:29:41 +0000find the x 3x+=34.4
https://www.mathhomeworkanswers.org/87384/find-the-x-3x-34-4
algebra categoryAlgebra 1 Answershttps://www.mathhomeworkanswers.org/87384/find-the-x-3x-34-4Thu, 23 May 2013 08:36:14 +0000I need a statements and reasons proof for the following.
https://www.mathhomeworkanswers.org/86341/i-need-a-statements-and-reasons-proof-for-the-following
<p>
<span style="color: rgb(51, 51, 51); font-family: arial, helvetica, clean, sans-serif; font-size: 13px; line-height: 16px;">I need a statements and reasons proof for the following. Line EG bisects angle DEF. Angle EDG is congruent to angle EFG. The picture looks like nonconvex kite. Please help!</span></p>Geometry Answershttps://www.mathhomeworkanswers.org/86341/i-need-a-statements-and-reasons-proof-for-the-followingSun, 19 May 2013 00:04:54 +0000show (A^-1)^-1=A
https://www.mathhomeworkanswers.org/85852/show-a-1-1-a
Please help meAlgebra 1 Answershttps://www.mathhomeworkanswers.org/85852/show-a-1-1-aThu, 16 May 2013 15:45:04 +0000(x+a)(x+b)
https://www.mathhomeworkanswers.org/84788/x-a-x-b
algebra basicsAlgebra 1 Answershttps://www.mathhomeworkanswers.org/84788/x-a-x-bSun, 12 May 2013 22:57:20 +0000