MathsGee Homework Help Q&A - Recent questions tagged product
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Powered by Question2AnswerWhat are the rules of differentiation?
https://mathsgee.com/35923/what-are-the-rules-of-differentiation
What are the rules of differentiation?Mathematicshttps://mathsgee.com/35923/what-are-the-rules-of-differentiationSat, 15 Jan 2022 02:50:24 +0000Verify that the Cauchy-Schwarz inequality holds. (a) \(\mathbf{u}=(-3,1,0), \mathbf{v}=(2,-1,3)\) (b) \(\mathbf{u}=(0,2,2,1), \mathbf{v}=(1,1,1,1)\)
https://mathsgee.com/35875/verify-cauchy-schwarz-inequality-mathbf-mathbf-mathbf-mathbf
Verify that the Cauchy-Schwarz inequality holds.<br />
<br />
(a) \(\mathbf{u}=(-3,1,0), \mathbf{v}=(2,-1,3)\)<br />
<br />
(b) \(\mathbf{u}=(0,2,2,1), \mathbf{v}=(1,1,1,1)\)Mathematicshttps://mathsgee.com/35875/verify-cauchy-schwarz-inequality-mathbf-mathbf-mathbf-mathbfFri, 14 Jan 2022 09:59:16 +0000What is the dot product of $\mathbf{u}$ a column matrix and $\mathbf{v}$ a column matrix?
https://mathsgee.com/35866/what-product-mathbf-column-matrix-and-mathbf-column-matrix
What is the dot product of $\mathbf{u}$ a column matrix and $\mathbf{v}$ a column matrix?Mathematicshttps://mathsgee.com/35866/what-product-mathbf-column-matrix-and-mathbf-column-matrixThu, 13 Jan 2022 09:24:26 +0000What is the dot product of u a row matrix and v a column matrix?
https://mathsgee.com/35864/what-is-the-dot-product-of-u-a-row-matrix-and-v-a-column-matrix
What is the dot product of u a row matrix and v a column matrix?Mathematicshttps://mathsgee.com/35864/what-is-the-dot-product-of-u-a-row-matrix-and-v-a-column-matrixThu, 13 Jan 2022 09:22:34 +0000What is the dot product of u a column matrix and v a row matrix?
https://mathsgee.com/35862/what-is-the-dot-product-of-u-a-column-matrix-and-v-a-row-matrix
What is the dot product of u a column matrix and v a row matrix?Mathematicshttps://mathsgee.com/35862/what-is-the-dot-product-of-u-a-column-matrix-and-v-a-row-matrixThu, 13 Jan 2022 09:21:00 +0000Verify that the Cauchy–Schwarz inequality holds for $\mathbf{u}=(0,2,2,1), \mathbf{v}=(1,1,1,1)$
https://mathsgee.com/35854/verify-that-cauchy-schwarz-inequality-holds-mathbf-mathbf
Verify that the Cauchy&ndash;Schwarz inequality holds for $\mathbf{u}=(0,2,2,1), \mathbf{v}=(1,1,1,1)$Mathematicshttps://mathsgee.com/35854/verify-that-cauchy-schwarz-inequality-holds-mathbf-mathbfThu, 13 Jan 2022 09:13:52 +0000Verify that the Cauchy–Schwarz inequality holds for $\mathbf{u}=(4,1,1), \mathbf{v}=(1,2,3)$
https://mathsgee.com/35853/verify-that-cauchy-schwarz-inequality-holds-mathbf-mathbf
Verify that the Cauchy&ndash;Schwarz inequality holds for $\mathbf{u}=(4,1,1), \mathbf{v}=(1,2,3)$Mathematicshttps://mathsgee.com/35853/verify-that-cauchy-schwarz-inequality-holds-mathbf-mathbfThu, 13 Jan 2022 09:13:03 +0000Verify that the Cauchy–Schwarz inequality holds for $\mathbf{u}=(1,2,1,2,3), \mathbf{v}=(0,1,1,5,-2)$
https://mathsgee.com/35852/verify-that-cauchy-schwarz-inequality-holds-mathbf-mathbf
Verify that the Cauchy&ndash;Schwarz inequality holds for $\mathbf{u}=(1,2,1,2,3), \mathbf{v}=(0,1,1,5,-2)$Mathematicshttps://mathsgee.com/35852/verify-that-cauchy-schwarz-inequality-holds-mathbf-mathbfThu, 13 Jan 2022 09:12:11 +0000Let $\mathbf{r}_{0}=\left(x_{0}, y_{0}\right)$ be a fixed vector in $R^{2}$. In each part, describe in words the set of all vectors $\mathbf{r}=(x, y)$ that satisfy the stated condition.
https://mathsgee.com/35851/mathbf-vector-describe-vectors-mathbf-satisfy-stated-condition
Let $\mathbf{r}_{0}=\left(x_{0}, y_{0}\right)$ be a fixed vector in $R^{2}$. In each part, describe in words the set of all vectors $\mathbf{r}=(x, y)$ that satisfy the stated condition. (a) $\left\|\mathbf{r}-\mathbf{r}_{0}\right\|=1$ (b) $\left\|\mathbf{r}-\mathbf{r}_{0}\right\| \leq 1$ (c) $\left\|\mathbf{r}-\mathbf{r}_{0}\right\|>1$Mathematicshttps://mathsgee.com/35851/mathbf-vector-describe-vectors-mathbf-satisfy-stated-conditionThu, 13 Jan 2022 09:11:15 +0000Show that two nonzero vectors $\mathbf{v}_{1}$ and $\mathbf{v}_{2}$ in $R^{3}$ are orthogonal if and only if their direction cosines satisfy
https://mathsgee.com/35848/nonzero-vectors-mathbf-orthogonal-direction-cosines-satisfy
Show that two nonzero vectors $\mathbf{v}_{1}$ and $\mathbf{v}_{2}$ in $R^{3}$ are orthogonal if and only if their direction cosines satisfy $$ \cos \alpha_{1} \cos \alpha_{2}+\cos \beta_{1} \cos \beta_{2}+\cos \gamma_{1} \cos \gamma_{2}=0 $$Mathematicshttps://mathsgee.com/35848/nonzero-vectors-mathbf-orthogonal-direction-cosines-satisfyThu, 13 Jan 2022 09:08:14 +0000Let $\mathbf{u}$ be a vector in $R^{100}$ whose $i$ th component is $i$, and let $\mathbf{v}$ be the vector in $R^{100}$ whose $i$ th component is $1 /(i+1)$. Find the dot product of $\mathbf{u}$ and $\mathbf{v}$.
https://mathsgee.com/35845/mathbf-vector-component-vector-component-product-mathbf-mathbf
Let $\mathbf{u}$ be a vector in $R^{100}$ whose $i$ th component is $i$, and let $\mathbf{v}$ be the vector in $R^{100}$ whose $i$ th component is $1 /(i+1)$. Find the dot product of $\mathbf{u}$ and $\mathbf{v}$.Mathematicshttps://mathsgee.com/35845/mathbf-vector-component-vector-component-product-mathbf-mathbfThu, 13 Jan 2022 09:04:24 +0000When are two nonzero vectors orthogonal to each other?
https://mathsgee.com/35842/when-are-two-nonzero-vectors-orthogonal-to-each-other
When are two nonzero vectors orthogonal to each other?Mathematicshttps://mathsgee.com/35842/when-are-two-nonzero-vectors-orthogonal-to-each-otherThu, 13 Jan 2022 09:00:47 +0000What are Orthogonal Projections?
https://mathsgee.com/35832/what-are-orthogonal-projections
What are Orthogonal Projections?Mathematicshttps://mathsgee.com/35832/what-are-orthogonal-projectionsThu, 13 Jan 2022 08:45:55 +0000If $\mathbf{u}$ and $\mathbf{v}$ are orthogonal vectors in $R^{n}$ with the Euclidean inner product, then prove that $$ \|\mathbf{u}+\mathbf{v}\|^{2}=\|\mathbf{u}\|^{2}+\|\mathbf{v}\|^{2} $$
https://mathsgee.com/35820/mathbf-orthogonal-vectors-euclidean-product-mathbf-mathbf
If $\mathbf{u}$ and $\mathbf{v}$ are orthogonal vectors in $R^{n}$ with the Euclidean inner product, then prove that $$ \|\mathbf{u}+\mathbf{v}\|^{2}=\|\mathbf{u}\|^{2}+\|\mathbf{v}\|^{2} $$Mathematicshttps://mathsgee.com/35820/mathbf-orthogonal-vectors-euclidean-product-mathbf-mathbfThu, 13 Jan 2022 08:38:00 +0000Show that $\mathbf{v}=(a, b)$ and $\mathbf{w}=(-b, a)$ are orthogonal vectors.
https://mathsgee.com/35809/show-that-mathbf-v-a-b-and-mathbf-w-b-a-are-orthogonal-vectors
Show that $\mathbf{v}=(a, b)$ and $\mathbf{w}=(-b, a)$ are orthogonal vectors.Mathematicshttps://mathsgee.com/35809/show-that-mathbf-v-a-b-and-mathbf-w-b-a-are-orthogonal-vectorsThu, 13 Jan 2022 08:26:58 +0000Let $\mathbf{u}$ 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 $\mathbf{v}$.
https://mathsgee.com/35803/nonzero-vectors-mathbf-mathbf-mathbf-bisects-between-mathbf
Let $\mathbf{u}$ and $\mathbf{v}$ be nonzero vectors in 2 - or 3 -space, and let $k=\|\mathbf{u}\|$ and $l=\|\mathbf{v}\|$.<br />
<br />
Prove that the vector $\mathbf{w}=l \mathbf{u}+k \mathbf{v}$ bisects the angle between $\mathbf{u}$ and $\mathbf{v}$.Mathematicshttps://mathsgee.com/35803/nonzero-vectors-mathbf-mathbf-mathbf-bisects-between-mathbfThu, 13 Jan 2022 08:22:31 +0000What is the dot product of u a row matrix and v a row matrix?
https://mathsgee.com/35788/what-is-the-dot-product-of-u-a-row-matrix-and-v-a-row-matrix
What is the dot product of u a row matrix and v a row matrix?Mathematicshttps://mathsgee.com/35788/what-is-the-dot-product-of-u-a-row-matrix-and-v-a-row-matrixThu, 13 Jan 2022 08:05:31 +0000Let $a, b$ and $c$ be vectors in $\mathrm{R}^{3}, \times$ denotes the cross product, . the dot product. Which of the following is false?
https://mathsgee.com/35749/vectors-mathrm-times-denotes-product-product-which-following
Let $a, b$ and $c$ be vectors in $\mathrm{R}^{3}, \times$ denotes the cross product, . the dot product. Which of the following is false?<br />
<br />
A. $-a \times b=b \times a$<br />
<br />
B. $(a \times b) \cdot c=a \cdot(b \times c)$<br />
<br />
C. $a \cdot b=b \cdot a$<br />
<br />
D. $\boldsymbol{a} \times b=\|\boldsymbol{a}\| \boldsymbol{b} \| \sin a b$<br />
<br />
E. $\boldsymbol{a} \cdot b=\|\boldsymbol{a}\| \boldsymbol{b} \| \cos a b$Mathematicshttps://mathsgee.com/35749/vectors-mathrm-times-denotes-product-product-which-followingThu, 13 Jan 2022 07:02:17 +0000Let $a, b$ and $c$ be vectors in $\mathrm{R}^{3}$, such that $a \cdot(b \times c)=0$. Then
https://mathsgee.com/35748/let-a-and-c-be-vectors-in-mathrm-such-that-a-cdot-times-then
Let $a, b$ and $c$ be vectors in $\mathrm{R}^{3}$, such that $a \cdot(b \times c)=0$. Then<br />
<br />
A. $a, b$ and $c$ are colinear<br />
<br />
B. $a, b$ and $c$ lie on the coordinate axes<br />
<br />
C. $a, b$ and $c$ lie on the same plane<br />
<br />
D. at least one of the three vectors is the zero vector<br />
<br />
E. at least two of the three vectors are equalMathematicshttps://mathsgee.com/35748/let-a-and-c-be-vectors-in-mathrm-such-that-a-cdot-times-thenThu, 13 Jan 2022 06:59:02 +0000Let $\vec{a}$ and $\vec{b}$ be non-zero, non parallel vectors. Identify proj $\vec{a} \vec{b}$ geometrically in the diagram.
https://mathsgee.com/35744/zero-parallel-vectors-identify-proj-geometrically-diagram
<p>Let $\vec{a}$ and $\vec{b}$ be non-zero, non parallel vectors. Identify proj $\vec{a} \vec{b}$ geometrically in the diagram.</p>
<p><img alt="one" src="https://mathsgee.com/?qa=blob&qa_blobid=6348515559341164526" style="height:263px; width:600px"></p>
<p> </p>
<p> </p>
<p><img alt="two" src="https://mathsgee.com/?qa=blob&qa_blobid=9494786875031314913" style="height:285px; width:600px"></p>
<p><img alt="three" src="https://mathsgee.com/?qa=blob&qa_blobid=15850150531742412333" style="height:232px; width:370px"></p>Mathematicshttps://mathsgee.com/35744/zero-parallel-vectors-identify-proj-geometrically-diagramThu, 13 Jan 2022 06:49:52 +0000Are causal connections the product of observations as articulated by David Hume in the Treatise of Human Nature?
https://mathsgee.com/35488/connections-product-observations-articulated-treatise-nature
<p>Are causal connections the product of observations as articulated by David Hume in the Treatise of Human Nature?</p>
<p> </p>
<p><img alt="david hume causality" src="https://mathsgee.com/?qa=blob&qa_blobid=14722281958203975210" style="height:449px; width:600px"></p>Data Science & Statisticshttps://mathsgee.com/35488/connections-product-observations-articulated-treatise-natureWed, 12 Jan 2022 11:04:48 +0000State Euler's product formula
https://mathsgee.com/35130/state-eulers-product-formula
State Euler's product formulaMathematicshttps://mathsgee.com/35130/state-eulers-product-formulaMon, 10 Jan 2022 22:37:24 +0000What is likely to happen to real gross domestic product as a result of the relationship between spending and output?
https://mathsgee.com/34583/domestic-product-result-relationship-between-spending-output
What is likely to happen to real gross domestic product as a result of the relationship between spending and output?Economics & Financehttps://mathsgee.com/34583/domestic-product-result-relationship-between-spending-outputTue, 16 Nov 2021 04:35:11 +0000'Despite being a small local shopkeeper I can always beat the price that Woolworths charge for the same product. Woolworths must pay rent on its store while I own my shop and have no rent to pay. Discuss.
https://mathsgee.com/34554/despite-shopkeeper-woolworths-product-woolworths-discuss
'Despite being a small local shopkeeper I can always beat the price that Woolworths charge for the same product. Woolworths must pay rent on its store while I own my shop and have no rent to pay. Discuss.Economics & Financehttps://mathsgee.com/34554/despite-shopkeeper-woolworths-product-woolworths-discussTue, 16 Nov 2021 04:07:20 +0000'The fitting of mathematical trend curves is by far the easiest and cheapest method of forecasting long-run changes in product demand, and is likely to be just as reliable as any alternative method.' Discuss.
https://mathsgee.com/34547/mathematical-cheapest-forecasting-reliable-alternative
'The fitting of mathematical trend curves is by far the easiest and cheapest method of forecasting long-run changes in product demand, and is likely to be just as reliable as any alternative method.' Discuss.Economics & Financehttps://mathsgee.com/34547/mathematical-cheapest-forecasting-reliable-alternativeTue, 16 Nov 2021 03:57:07 +0000What is a minimum viable product?
https://mathsgee.com/33677/what-is-a-minimum-viable-product
<p>What is a minimum viable product?</p>
<div itemscope="itemscope" itemtype="https://schema.org/VideoObject"><meta itemprop="uploadDate" content="Thu Oct 07 2021 04:25:02 GMT+0200 (South Africa Standard Time)"><meta itemprop="name" content="Minimum Viable Product"><meta itemprop="duration" content="P0Y0M0DT0H0M43S"><meta itemprop="thumbnailUrl" content="https://cdn.jwplayer.com/thumbs/oynp9EuW-720.jpg"><meta itemprop="contentUrl" content="https://content.jwplatform.com/videos/oynp9EuW-so718Hsd.m4a"></div>Businesshttps://mathsgee.com/33677/what-is-a-minimum-viable-productThu, 07 Oct 2021 03:35:27 +0000Work is equal to which of the following?
https://mathsgee.com/33270/work-is-equal-to-which-of-the-following
Work is equal to which of the following?<br />
<br />
w) the cross product of force and displacement.<br />
<br />
x) the product of force times time<br />
<br />
y) force divided by time<br />
<br />
z) the dot product of force and displacementPhysicshttps://mathsgee.com/33270/work-is-equal-to-which-of-the-followingTue, 05 Oct 2021 03:03:21 +0000Express 80 as a product of primes.
https://mathsgee.com/33162/express-80-as-a-product-of-primes
Express 80 as a product of primes.Mathematicshttps://mathsgee.com/33162/express-80-as-a-product-of-primesMon, 27 Sep 2021 05:30:44 +0000Find, correct to two decimal places, the probability that box chosen at random contains at least 3 defective bottles.
https://mathsgee.com/32850/correct-decimal-probability-chosen-contains-defective-bottles
Bottles of the same size produced in a factory are packed in boxes. Each box contains 10 bottles. If \(8 \%\) of the bottles are defective, find, correct to two decimal places, the probability that box chosen at random contains at least 3 defective bottles.Mathematicshttps://mathsgee.com/32850/correct-decimal-probability-chosen-contains-defective-bottlesSun, 12 Sep 2021 04:16:24 +0000Find the price and quantity at which the quantity demanded equals the quantity supplied.
https://mathsgee.com/32537/price-quantity-quantity-demanded-equals-quantity-supplied
The demand for a certain product is given by \(p+2 q=200\), and the supply for this product is given by \(p-2 q=0\) where \(\mathrm{p}\) is the price in dollars and \(\mathrm{q}\) is the number of products in thousands.<br />
<br />
Find the price and quantity at which the quantity demanded equals the quantity supplied.Mathematicshttps://mathsgee.com/32537/price-quantity-quantity-demanded-equals-quantity-suppliedSun, 05 Sep 2021 07:26:35 +0000Find the price and quantity at which the quantity demanded equals the quantity supplied.
https://mathsgee.com/32535/price-quantity-quantity-demanded-equals-quantity-supplied
The demand for a certain product is given by \(p+4 q=334\), and the supply for this product is given by \(p-6 q=74\) where \(\mathrm{p}\) is the price in dollars and \(\mathrm{q}\) is the number of products in hundreds.<br />
Find the price and quantity at which the quantity demanded equals the quantity supplied.Mathematicshttps://mathsgee.com/32535/price-quantity-quantity-demanded-equals-quantity-suppliedSun, 05 Sep 2021 07:25:12 +0000An electronics manufacturer makes a streaming stick that allows consumers to view content on the Internet. The unit price of the stick is
https://mathsgee.com/32495/electronics-manufacturer-streaming-consumers-content-internet
An electronics manufacturer makes a streaming stick that allows consumers to view content on the Internet. The unit price of the stick is<br />
\[<br />
D(q)=-0.5 q+75<br />
\]<br />
where \(q\) is in thousands of sticks. The price per unit at which the manufacturer will supply the stick is<br />
\[<br />
S(q)=0.25 q<br />
\]<br />
a. Find the equilibrium point.<br />
<br />
b. Does a price per unit of \(\$ 50\) correspond to a surplus or shortage?Mathematicshttps://mathsgee.com/32495/electronics-manufacturer-streaming-consumers-content-internetSun, 05 Sep 2021 03:28:03 +0000The price per unit \(P\) (in dollars) is related to the quantity \(Q\) (in boxes) of a product demanded by consumers according to
https://mathsgee.com/32473/dollars-related-quantity-product-demanded-consumers-according
The price per unit \(P\) (in dollars) is related to the quantity \(Q\) (in boxes) of a product demanded by consumers according to<br />
\[<br />
P=-\frac{4}{5} Q+40<br />
\]<br />
a. What is the slope of the function in part a?<br />
<br />
b. Interpret the slope in part a.<br />
<br />
c. What is the vertical intercept of the function in part a?Mathematicshttps://mathsgee.com/32473/dollars-related-quantity-product-demanded-consumers-accordingSun, 05 Sep 2021 02:54:54 +0000What is the use for the Leibniz product rule?
https://mathsgee.com/31838/what-is-the-use-for-the-leibniz-product-rule
What is the use for the Leibniz product rule?Mathematicshttps://mathsgee.com/31838/what-is-the-use-for-the-leibniz-product-ruleTue, 17 Aug 2021 08:46:45 +0000What is the product rule of differentiation?
https://mathsgee.com/31678/what-is-the-product-rule-of-differentiation
What is the product rule of differentiation?Mathematicshttps://mathsgee.com/31678/what-is-the-product-rule-of-differentiationSat, 14 Aug 2021 08:36:17 +0000 If a decrease in the selling price of a company’s only product results in an increase in the company’s total revenue, the demand for the company’s product is:
https://mathsgee.com/31518/decrease-selling-companys-increase-companys-companys-product
If a decrease in the selling price of a company&rsquo;s only product results in an increase in the company&rsquo;s total revenue, the demand for the company&rsquo;s product is:<br />
<br />
(a) elastic<br />
<br />
(b) unit-elastic<br />
<br />
(c) inelasticEconomics & Financehttps://mathsgee.com/31518/decrease-selling-companys-increase-companys-companys-productWed, 11 Aug 2021 00:12:10 +0000What are located vectors?
https://mathsgee.com/31462/what-are-located-vectors
What are located vectors?Mathematicshttps://mathsgee.com/31462/what-are-located-vectorsMon, 09 Aug 2021 00:26:56 +0000What is the norm of $u=(1,-2,-4,5,3)$?
https://mathsgee.com/31444/what-is-the-norm-of-u-1-2-4-5-3
What is the norm of $u=(1,-2,-4,5,3)$?Mathematicshttps://mathsgee.com/31444/what-is-the-norm-of-u-1-2-4-5-3Mon, 09 Aug 2021 00:07:21 +0000What are the basic properties of the inner(dot) product?
https://mathsgee.com/31440/what-are-the-basic-properties-of-the-inner-dot-product
What are the basic properties of the inner(dot) product?Mathematicshttps://mathsgee.com/31440/what-are-the-basic-properties-of-the-inner-dot-productMon, 09 Aug 2021 00:02:53 +0000What is a dot (inner) product?
https://mathsgee.com/31438/what-is-a-dot-inner-product
What is a dot (inner) product?Mathematicshttps://mathsgee.com/31438/what-is-a-dot-inner-productMon, 09 Aug 2021 00:01:26 +0000What are the basic properties of vectors under the operations of vector addition and scalar multiplication?
https://mathsgee.com/31436/properties-vectors-operations-vector-addition-multiplication
What are the basic properties of vectors under the operations of vector addition and scalar multiplication?Mathematicshttps://mathsgee.com/31436/properties-vectors-operations-vector-addition-multiplicationSun, 08 Aug 2021 23:59:14 +0000How can I add the vectors and also achieve scalar multiplication?
https://mathsgee.com/31429/how-can-add-the-vectors-also-achieve-scalar-multiplication
How can I add the vectors and also achieve scalar multiplication?<br />
<br />
$u=\left(a_{1}, a_{2}, \ldots, a_{n}\right) \quad$ and $\quad v=\left(b_{1}, b_{2}, \ldots, b_{n}\right)$Mathematicshttps://mathsgee.com/31429/how-can-add-the-vectors-also-achieve-scalar-multiplicationSun, 08 Aug 2021 23:51:49 +0000Find the negatives of (a) $u=(3,-5,-8,4)$, (b) $v=(-4,2 \pi, 0)$, (c) $0=(0,0,0,0)$.
https://mathsgee.com/31407/find-the-negatives-of-a-u-3-5-8-4-b-v-4-2-pi-0-c-0-0-0-0-0
Find the negatives of<br />
<br />
(a) $u=(3,-5,-8,4)$,<br />
(b) $v=(-4,2 \pi, 0)$,<br />
(c) $0=(0,0,0,0)$.Mathematicshttps://mathsgee.com/31407/find-the-negatives-of-a-u-3-5-8-4-b-v-4-2-pi-0-c-0-0-0-0-0Sun, 08 Aug 2021 23:08:41 +0000Prove that there exist 3 indices $p, q$ and $r$ such that $p<q<r$ and
https://mathsgee.com/31385/prove-that-there-exist-indices-p-q-and-r-such-that-p-r-and
Prove that there exist 3 indices $p, q$ and $r$ such that $p<q<r$ and<br />
<br />
$$<br />
\begin{gathered}<br />
a_{p} \leq a_{q} \leq a_{r} \\<br />
b_{p} \leq b_{q} \leq b_{r} \\<br />
c_{p} \leq c_{q} \leq c_{r}<br />
\end{gathered}<br />
$$Mathematicshttps://mathsgee.com/31385/prove-that-there-exist-indices-p-q-and-r-such-that-p-r-andSun, 08 Aug 2021 22:46:50 +0000What does the power of a product rule of exponents state?
https://mathsgee.com/31153/what-does-the-power-of-a-product-rule-of-exponents-state
What does the power of a product rule of exponents state?Mathematicshttps://mathsgee.com/31153/what-does-the-power-of-a-product-rule-of-exponents-stateThu, 29 Jul 2021 06:30:06 +0000How do you simplify the power of a product of two exponential expressions?
https://mathsgee.com/31151/how-you-simplify-the-power-product-exponential-expressions
How do you simplify the power of a product of two exponential expressions?Mathematicshttps://mathsgee.com/31151/how-you-simplify-the-power-product-exponential-expressionsThu, 29 Jul 2021 06:27:44 +0000What is the product rule of exponents?
https://mathsgee.com/31131/what-is-the-product-rule-of-exponents
What is the product rule of exponents?Mathematicshttps://mathsgee.com/31131/what-is-the-product-rule-of-exponentsThu, 29 Jul 2021 05:54:26 +0000What is IUPAC naming?
https://mathsgee.com/31086/what-is-iupac-naming
What is IUPAC naming?Geographyhttps://mathsgee.com/31086/what-is-iupac-namingThu, 29 Jul 2021 03:45:47 +0000If a matrix 18 elements what is the possible order it can have?
https://mathsgee.com/30957/if-a-matrix-18-elements-what-is-the-possible-order-it-can-have
If a matrix 18 elements what is the possible order it can have?Mathematicshttps://mathsgee.com/30957/if-a-matrix-18-elements-what-is-the-possible-order-it-can-haveSat, 24 Jul 2021 10:19:17 +0000If a matrix 8 elements what is the possible order it can have ?
https://mathsgee.com/30955/if-a-matrix-8-elements-what-is-the-possible-order-it-can-have
If a matrix 8 elements what is the possible order it can have ?Mathematicshttps://mathsgee.com/30955/if-a-matrix-8-elements-what-is-the-possible-order-it-can-haveSat, 24 Jul 2021 10:17:57 +0000