# Recent questions tagged theorem

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What is there to know about the Binomial Coefficients and the Binomial Theorem?
What is there to know about the Binomial Coefficients and the Binomial Theorem?What is there to know about the Binomial Coefficients and the Binomial Theorem? ...
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Prove the orthogonal projection theorem
Prove the orthogonal projection theoremProve the orthogonal projection theorem ...
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What does the Theorem of Pythagoras in $R^n$ state?
What does the Theorem of Pythagoras in $R^n$ state?What does the Theorem of Pythagoras in $R^n$ state? ...
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If $\mathbf{u}$ and $\mathbf{v}$ are orthogonal vectors in $R^{n}$ with the Euclidean inner product, then prove that $$\|\mathbf{u}+\mathbf{v}\|^{2}=\|\mathbf{u}\|^{2}+\|\mathbf{v}\|^{2}$$If $\mathbf{u}$ and $\mathbf{v}$ are orthogonal vectors in $R^{n}$ with the Euclidean inner product, then prove that $$\|\mathbf{u}+\mathbf{v}\|^{2}= ... close 0 answers 5 views close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 State the Binomial Theorem. 0 answers 3 views State the Binomial Theorem.State the Binomial Theorem. ... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 De Moivre's Theorem gives \cos 3 \theta as: 0 answers 5 views De Moivre's Theorem gives \cos 3 \theta as:De Moivre's Theorem gives \cos 3 \theta as: ... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 The Mean Value Theorem does not apply to 0 answers 4 views The Mean Value Theorem does not apply toThe Mean Value Theorem does not apply to &nbsp; A. f(x)=\frac{x}{x^{2}-4} on 0,1, B. f(x)=\frac{x}{x^{2}+4} on 0,1, C. f(x)=\frac{\sq ... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 State Rolle's Theorem. 0 answers 3 views State Rolle's Theorem.State Rolle's Theorem. ... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 Prove Rolle's Theorem under the assumption that for the function f on [a, b] you have f(x)>f(a) for some x in the domain of f. 0 answers 5 views Prove Rolle's Theorem under the assumption that for the function f on [a, b] you have f(x)>f(a) for some x in the domain of f.Prove Rolle's Theorem under the assumption that for the function f on a, b you have f(x)&gt;f(a) for some x in the domain of f. ... close Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993 Find the domain, the asymptotes (if any) of f and classify each asymptote as vertical, horizontal or slant. 0 answers 5 views Find the domain, the asymptotes (if any) of f and classify each asymptote as vertical, horizontal or slant.Let$$ f(x)=\frac{x^{2}-3}{x+2} $$You may use that$$ f^{\prime}(x)=\frac{x^{2}+4 x+3}{(x+2)^{2}} \quad \text { and } \quad f^{\prime \prime}(x)=\fra ...
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State the remainder theorem of polynomials
State the remainder theorem of polynomialsState the remainder theorem of polynomials ...
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Prove the remainder theorem of polynomials
Prove the remainder theorem of polynomialsProve the remainder theorem of polynomials ...
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Use the remainder theorem to factorize the following:
Use the remainder theorem to factorize the following: Use the remainder theorem to factorise the following: $a(x)=x^{3}-7 x+6$ $a(x)=x^{6}-6 x^{4}+9 x^{2}-4$ ...
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What is the fundamental theorem of algebra?
What is the fundamental theorem of algebra?What is the fundamental theorem of algebra? ...
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Use the Remainder Theorem to find linear factors for the polynomials below. Once you are down to a quadratic, you can use the quadratic formula instead.
Use the Remainder Theorem to find linear factors for the polynomials below. Once you are down to a quadratic, you can use the quadratic formula instead.Use the Remainder Theorem to find linear factors for the polynomials below. Once you are down to a quadratic, you can use the quadratic formula instea ...
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Use double angle formulae to prove the identities
Use double angle formulae to prove the identitiesUse double angle formulae to prove the identities \ \sin 2 A=\frac{2 \tan A}{1+\tan ^{2} A}, \quad \cos 2 A=\frac{1-\tan ^{2} A}{1+\tan ^{2} A}, \qua ...
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Is algebra easier than calculus?
Is algebra easier than calculus?Is algebra easier than calculus? ...
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Define the Discrete-Time Fourier transform - Parseval's Theorem
Define the Discrete-Time Fourier transform - Parseval's TheoremDefine the Discrete-Time Fourier transform - Parseval's Theorem ...
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Define the Discrete-Time Fourier linearity theorem
Define the Discrete-Time Fourier linearity theoremDefine the Discrete-Time Fourier linearity theorem ...
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Find the value of $m$ if: $\sum_{k=1}^{m} 3(2)^{k-1}=93$
Find the value of $m$ if: $\sum_{k=1}^{m} 3(2)^{k-1}=93$Find the value of $m$ if: \ \sum_{k=1}^{m} 3(2)^{k-1}=93 \ ...
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What is the value of $m$ for which: $\sum_{k=1}^{m} 5(3)^{k-1}=65$
What is the value of $m$ for which: $\sum_{k=1}^{m} 5(3)^{k-1}=65$What is the value of $m$ for which: \ \sum_{k=1}^{m} 5(3)^{k-1}=65 \ ...
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Evaluate: $\sum_{n=4}^{70}(2 n-4)$
Evaluate: $\sum_{n=4}^{70}(2 n-4)$Evaluate: \ \sum_{n=4}^{70}(2 n-4) \ ...
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State the fundamental theorem of calculus
Prove the following theorem:Prove the following theorem: Let $n$ and $m$ be integers. Then i. if $n$ and $m$ are both even, then $n+m$ is even, ii. if $n$ and $m$ ...