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Let \(\mathcal{P}_{2}\) be the space of polynomials of degree at most 2 .
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Let \(\mathcal{P}_{2}\) be the space of polynomials of degree at most 2 .Let \(\mathcal{P}_{2}\) be the space of polynomials of degree at most 2 .   a) Find a basis for this space. b) Let \(D: \mathcal{P}_{2} \righta ...
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asked in Mathematics 1 hour ago
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Let \(A: \mathbb{R}^{n} \rightarrow \mathbb{R}^{k}\) be a linear map. Show that the following are equivalent.
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Let \(A: \mathbb{R}^{n} \rightarrow \mathbb{R}^{k}\) be a linear map. Show that the following are equivalent.Let \(A: \mathbb{R}^{n} \rightarrow \mathbb{R}^{k}\) be a linear map. Show that the following are equivalent. a) For every \(y \in \mathbb{R}^{k}\) th ...
by MathsGee Platinum
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asked in Mathematics 13 hours ago
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The five-digit number 1234A is divisible by 9. What is the remainder when it is divided by 7 ?
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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
(18,309 points)
asked in Mathematics Jan 17
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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? ...
by MathsGee Platinum
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asked in Mathematics Jan 13
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State the Binomial Theorem.
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State the Binomial Theorem.State the Binomial Theorem. ...
by MathsGee Platinum
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asked in Mathematics Jan 13
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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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State Rolle's Theorem.
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State Rolle's Theorem.State Rolle's Theorem. ...
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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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asked in Mathematics Jan 13
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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 ...
by MathsGee Platinum
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asked in Mathematics Jan 13
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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: \(a(x)=x^{3}-7 x+6\) \(a(x)=x^{6}-6 x^{4}+9 x^{2}-4\) ...
by MathsGee Platinum
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asked in Mathematics Jan 13
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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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Define the Discrete-Time Fourier transform - Parseval's Theorem
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