Recent questions tagged theorem

Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993

Let $\mathcal{P}_{3}$ be the space of polynomials of degree at most 3 anD let $D: \mathcal{P}_{3} \rightarrow \mathcal{P}_{3}$ be the derivative operator.

info

0 answers 4 views

Let $\mathcal{P}_{3}$ be the space of polynomials of degree at most 3 anD let $D: \mathcal{P}_{3} \rightarrow \mathcal{P}_{3}$ be the derivative operator.

Let $\mathcal{P}_{3}$ be the space of polynomials of degree at most 3 anD let $D: \mathcal{P}_{3} \rightarrow \mathcal{P}_{3}$ be the derivative operator.Let $\mathcal{P}_{3}$ be the space of polynomials of degree at most 3 anD let $D: \mathcal{P}_{3} \rightarrow \mathcal{P}_{3}$ be the derivative o ...

by ♦MathsGee Platinum

(104,076 points)

asked in Mathematics 1 hour ago

close

Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993

Let $\mathcal{P}_{2}$ be the space of polynomials of degree at most 2 .

info

0 answers 2 views

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 .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 ...

by ♦MathsGee Platinum

(104,076 points)

asked in Mathematics 1 hour ago

close

Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993

Let $\mathcal{P}_{1}$ be the linear space of real polynomials of degree at most one, so a typical element is $p(x):=a+b x$, where $a$ and $b$ are real numbers.

info

0 answers 2 views

Let $\mathcal{P}_{1}$ be the linear space of real polynomials of degree at most one, so a typical element is $p(x):=a+b x$, where $a$ and $b$ are real numbers.

Let $\mathcal{P}_{1}$ be the linear space of real polynomials of degree at most one, so a typical element is $p(x):=a+b x$, where $a$ and $b$ are real numbers.Let $\mathcal{P}_{1}$ be the linear space of real polynomials of degree at most one, so a typical element is $p(x):=a+b x$, where $a$ and $b$ ...

by ♦MathsGee Platinum

(104,076 points)

asked in Mathematics 1 hour ago

close

Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993

Let $A: \mathbb{R}^{n} \rightarrow \mathbb{R}^{k}$ be a linear map. Show that the following are equivalent.

info

0 answers 5 views

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.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

(104,076 points)

asked in Mathematics 13 hours ago

close

Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993

Let $\mathcal{P}_{k}$ be the space of polynomials of degree at most $k$ and define the linear map $L: \mathcal{P}_{k} \rightarrow \mathcal{P}_{k+1}$ by $L p:=p^{\prime \prime}(x)+x p(x) .$

info

0 answers 6 views

Let $\mathcal{P}_{k}$ be the space of polynomials of degree at most $k$ and define the linear map $L: \mathcal{P}_{k} \rightarrow \mathcal{P}_{k+1}$ by $L p:=p^{\prime \prime}(x)+x p(x) .$

Let $\mathcal{P}_{k}$ be the space of polynomials of degree at most $k$ and define the linear map $L: \mathcal{P}_{k} \rightarrow \mathcal{P}_{k+1}$ by $L p:=p^{\prime \prime}(x)+x p(x) .$Let $\mathcal{P}_{k}$ be the space of polynomials of degree at most $k$ and define the linear map \(L: \mathcal{P}_{k} \rightarrow \mathcal{P}_{k+ ...

by ♦MathsGee Platinum

(104,076 points)

asked in Mathematics 14 hours ago

close

Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993

The five-digit number 1234A is divisible by 9. What is the remainder when it is divided by 7 ?

info

0 answers 6 views

The five-digit number 1234A is divisible by 9. What is the remainder when it is divided by 7 ?

The five-digit number 1234A is divisible by 9. What is the remainder when it is divided by 7 ?The five-digit number 1234A is divisible by 9. What is the remainder when it is divided by 7 ? ...

by ♦Pieter SIlver Status

(18,309 points)

asked in Mathematics 1 day ago

close

Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993

What is there to know about the Binomial Coefficients and the Binomial Theorem?

info

check_circle

1 answer 12 views

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? ...

by ♦Pieter SIlver Status

(18,309 points)

asked in Mathematics Jan 17

close

Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993

Prove the orthogonal projection theorem

info

check_circle

1 answer 4 views

Prove the orthogonal projection theorem

Prove the orthogonal projection theoremProve the orthogonal projection theorem ...

by ♦MathsGee Platinum

(104,076 points)

asked in Mathematics Jan 13

close

Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993

What does the Theorem of Pythagoras in $R^n$ state?

info

sms

1 answer 6 views

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? ...

by ♦MathsGee Platinum

(104,076 points)

asked in Mathematics Jan 13

close

Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993

If $\mathbf{u}$ and $\mathbf{v}$ are orthogonal vectors in $R^{n}$ with the Euclidean inner product, then prove that $$ \|\mathbf{u}+\mathbf{v}\|^{2}=\|\mathbf{u}\|^{2}+\|\mathbf{v}\|^{2} $$

info

check_circle

1 answer 7 views

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 $$ \|\mathbf{u}+\mathbf{v}\|^{2}=\|\mathbf{u}\|^{2}+\|\mathbf{v}\|^{2} $$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}= ...

by ♦MathsGee Platinum

(104,076 points)

asked in Mathematics Jan 13

close

Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993

Let $\mathbf{u}$ and $\mathbf{v}$ be nonzero vectors in 2 - or 3 -space, and let $k=\|\mathbf{u}\|$ and $l=\|\mathbf{v}\|$. Prove that the vector $\mathbf{w}=l \mathbf{u}+k \mathbf{v}$ bisects the angle between $\mathbf{u}$ and $\mathbf{v}$.

info

0 answers 7 views

Let $\mathbf{u}$ and $\mathbf{v}$ be nonzero vectors in 2 - or 3 -space, and let $k=\|\mathbf{u}\|$ and $l=\|\mathbf{v}\|$. Prove that the vector $\mathbf{w}=l \mathbf{u}+k \mathbf{v}$ bisects the angle between $\mathbf{u}$ and $\mathbf{v}$.

Let $\mathbf{u}$ and $\mathbf{v}$ be nonzero vectors in 2 - or 3 -space, and let $k=\|\mathbf{u}\|$ and $l=\|\mathbf{v}\|$. Prove that the vector $\mathbf{w}=l \mathbf{u}+k \mathbf{v}$ bisects the angle between $\mathbf{u}$ and $\mathbf{v}$.Let $\mathbf{u}$ and $\mathbf{v}$ be nonzero vectors in 2 - or 3 -space, and let $k=\|\mathbf{u}\|$ and $l=\|\mathbf{v}\|$. Prove that the vector $\m ...

by ♦MathsGee Platinum

(104,076 points)

asked in Mathematics Jan 13

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.

info

0 answers 3 views

State the Binomial Theorem.

State the Binomial Theorem.State the Binomial Theorem. ...

by ♦MathsGee Platinum

(104,076 points)

asked in Mathematics Jan 13

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:

info

0 answers 5 views

De Moivre's Theorem gives $\cos 3 \theta$ as:

De Moivre's Theorem gives $\cos 3 \theta$ as:De Moivre's Theorem gives $\cos 3 \theta$ as: ...

by ♦MathsGee Platinum

(104,076 points)

asked in Mathematics Jan 13

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

info

0 answers 5 views

The Mean Value Theorem does not apply to

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 ...

by ♦MathsGee Platinum

(104,076 points)

asked in Mathematics Jan 13

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.

info

0 answers 3 views

State Rolle's Theorem.

State Rolle's Theorem.State Rolle's Theorem. ...

by ♦MathsGee Platinum

(104,076 points)

asked in Mathematics Jan 13

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 $f$.

info

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 $f(x)>f(a)$ 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 $f(x)>f(a)$ for some $x$ in the domain of $f$. ...

by ♦MathsGee Platinum

(104,076 points)

asked in Mathematics Jan 13

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.

info

0 answers 5 views

Find the domain, the asymptotes (if any) of $f$ and classify each asymptote as vertical, horizontal or slant.

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 ...

by ♦MathsGee Platinum

(104,076 points)

asked in Mathematics Jan 13

close

Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993

State the remainder theorem of polynomials

info

check_circle

1 answer 6 views

State the remainder theorem of polynomials

State the remainder theorem of polynomialsState the remainder theorem of polynomials ...

by ♦MathsGee Platinum

(104,076 points)

asked in Mathematics Jan 13

close

Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993

Prove the remainder theorem of polynomials

info

check_circle

1 answer 8 views

Prove the remainder theorem of polynomials

Prove the remainder theorem of polynomialsProve the remainder theorem of polynomials ...

by ♦MathsGee Platinum

(104,076 points)

asked in Mathematics Jan 13

close

Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993

Use the remainder theorem to factorize the following:

info

0 answers 3 views

Use the remainder theorem to factorize the following:

Use the remainder theorem to factorize the following: Use the remainder theorem to factorise the following: $a(x)=x^{3}-7 x+6$ $a(x)=x^{6}-6 x^{4}+9 x^{2}-4$ ...

by ♦MathsGee Platinum

(104,076 points)

asked in Mathematics Jan 13

close

Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993

What is the fundamental theorem of algebra?

info

sms

1 answer 6 views

What is the fundamental theorem of algebra?

What is the fundamental theorem of algebra?What is the fundamental theorem of algebra? ...

by ♦MathsGee Platinum

(104,076 points)

asked in Mathematics Jan 13

close

Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993

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.

info

0 answers 9 views

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 ...

by ♦MathsGee Platinum

(104,076 points)

asked in Mathematics Jan 13

close

Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993

Use double angle formulae to prove the identities

info

0 answers 3 views

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 ...

by ♦MathsGee Platinum

(104,076 points)

asked in Mathematics Jan 13

close

Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993

Is algebra easier than calculus?

info

0 answers 5 views

Is algebra easier than calculus?

Is algebra easier than calculus?Is algebra easier than calculus? ...

by ♦MathsGee Platinum

(104,076 points)

asked in Mathematics Jan 13

close

Notice: Undefined index: avatar in /home/customer/www/mathsgee.com/public_html/qa-theme/AVEN/qa-theme.php on line 993

Define the Discrete-Time Fourier transform - Parseval's Theorem

info

check_circle

1 answer 10 views

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 ...

by ♦MathsGee Platinum

(104,076 points)

asked in Mathematics Jan 11

close

Recent questions tagged theorem

Most popular tags

Recent Articles