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What is there to know about the Binomial Coefficients and the Binomial 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? ...
by Pieter SIlver Status
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asked in Mathematics 2 days ago
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Prove the orthogonal projection theorem
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Prove the orthogonal projection theoremProve the orthogonal projection theorem ...
by MathsGee Platinum
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asked in Mathematics Jan 13
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What does the Theorem of Pythagoras in $R^n$ state?
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What does the Theorem of Pythagoras in $R^n$ state?What does the Theorem of Pythagoras in $R^n$ state? ...
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State the Binomial Theorem.
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State the Binomial Theorem.State the Binomial Theorem. ...
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De Moivre's Theorem gives $\cos 3 \theta$ as:
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De Moivre's Theorem gives $\cos 3 \theta$ as:De Moivre's Theorem gives $\cos 3 \theta$ as: ...
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The Mean Value Theorem does not apply to
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The Mean Value Theorem does not apply toThe Mean Value Theorem does not apply to   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 ...
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asked in Mathematics Jan 13
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State Rolle's Theorem.
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State Rolle's Theorem.State Rolle's Theorem. ...
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asked in Mathematics Jan 13
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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 $f$.
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Find the domain, the asymptotes (if any) of $f$ and classify each asymptote as vertical, horizontal or slant.
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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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asked in Mathematics Jan 13
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State the remainder theorem of polynomials
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State the remainder theorem of polynomialsState the remainder theorem of polynomials ...
by MathsGee Platinum
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Prove the remainder theorem of polynomials
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Prove the remainder theorem of polynomialsProve the remainder theorem of polynomials ...
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Use the remainder theorem to factorize the following:
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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?
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What is the fundamental theorem of algebra?What is the fundamental theorem of algebra? ...
by MathsGee Platinum
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Use double angle formulae to prove the identities
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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?
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Is algebra easier than calculus?Is algebra easier than calculus? ...
by MathsGee Platinum
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asked in Mathematics Jan 13
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Define the Discrete-Time Fourier transform - Parseval's Theorem
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Define the Discrete-Time Fourier linearity theorem
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Define the Discrete-Time Fourier linearity theoremDefine the Discrete-Time Fourier linearity theorem ...
by MathsGee Platinum
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asked in Mathematics Jan 11
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Find the value of \(m\) if: \[ \sum_{k=1}^{m} 3(2)^{k-1}=93 \]
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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 \ ...
by Pieter SIlver Status
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asked in Mathematics Jan 11
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What is the value of \(m\) for which: \[ \sum_{k=1}^{m} 5(3)^{k-1}=65 \]
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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 \ ...
by Pieter SIlver Status
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asked in Mathematics Jan 11
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Evaluate: \[ \sum_{n=4}^{70}(2 n-4) \]
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Evaluate: \[ \sum_{n=4}^{70}(2 n-4) \]Evaluate: \ \sum_{n=4}^{70}(2 n-4) \ ...
by Pieter SIlver Status
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asked in Mathematics Jan 11
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State the fundamental theorem of calculus
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State the fundamental theorem of calculusState the fundamental theorem of calculus ...
by MathsGee Platinum
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asked in Mathematics Jan 11
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Prove the following theorem:
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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 \(m\) ...
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asked in Mathematics Jan 8
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