Menu Close

Category: Algebra

a-pinhole-camera-is-placed-300cm-in-front-of-a-building-so-that-the-image-is-formed-on-a-screen-5cm-from-the-pin-hole-if-the-image-is-2-5cm-high-the-height-of-the-building-will-be-

Question Number 132900 by aurpeyz last updated on 17/Feb/21 $${a}\:{pinhole}\:{camera}\:{is}\:{placed}\:\mathrm{300}{cm} \\ $$$${in}\:{front}\:{of}\:{a}\:{building}\:{so}\:{that}\:{the}\:{image} \\ $$$${is}\:{formed}\:{on}\:{a}\:{screen}\:\mathrm{5}{cm}\:{from}\:{the} \\ $$$${pin}\:{hole}.\:{if}\:{the}\:{image}\:{is}\:\mathrm{2}.\mathrm{5}{cm}\:{high}. \\ $$$${the}\:{height}\:{of}\:{the}\:{building}\:{will}\:{be}? \\ $$ Commented by mr W last…

m-p-1-a-q-p-1-r-1-b-amp-p-p-1-q-1-c-and-r-p-1-m-1-d-find-either-of-p-q-r-m-in-terms-of-a-b-c-d-

Question Number 67337 by ajfour last updated on 25/Aug/19 $${m}\left({p}+\mathrm{1}\right)={a} \\ $$$$\frac{{q}\left({p}+\mathrm{1}\right)}{{r}+\mathrm{1}}={b}\:\:\&\:\:\frac{{p}\left({p}+\mathrm{1}\right)}{{q}+\mathrm{1}}={c} \\ $$$${and}\:\:\frac{{r}\left({p}+\mathrm{1}\right)}{{m}+\mathrm{1}}={d} \\ $$$${find}\:{either}\:{of}\:{p},{q},{r},{m}\:{in}\:{terms}\:{of} \\ $$$${a},{b},{c},{d}. \\ $$ Answered by mr W last…

Let-f-be-a-function-defined-on-the-domain-D-f-C-and-f-z-cosz-for-z-D-f-Is-f-z-a-member-of-C-Compute-for-example-f-2-6i-

Question Number 1797 by 112358 last updated on 29/Sep/15 $${Let}\:{f}\:{be}\:{a}\:{function}\:{defined}\:{on} \\ $$$${the}\:{domain}\:{D}_{{f}} =\mathbb{C}\:{and}\:{f}\left({z}\right)={cosz} \\ $$$${for}\:{z}\in{D}_{{f}} \:.\:{Is}\:{f}\left({z}\right)\:{a}\:{member} \\ $$$${of}\:\mathbb{C}?\:{Compute}\:{for}\:{example} \\ $$$${f}\left(\mathrm{2}+\mathrm{6}{i}\right). \\ $$$$ \\ $$ Answered…

Simplify-log-3-4i-7-24i-

Question Number 1794 by Rasheed Soomro last updated on 29/Sep/15 $${Simplify} \\ $$$${log}_{\left(\mathrm{3}+\mathrm{4}{i}\right)} \left(−\mathrm{7}+\mathrm{24}{i}\right) \\ $$ Commented by 112358 last updated on 29/Sep/15 $${Define}\:{p}={log}_{\left(\mathrm{3}+\mathrm{4}{i}\right)} \left(−\mathrm{7}+\mathrm{24}{i}\right)…

Simplify-3-4i-3-4i-

Question Number 1791 by RasheedAhmad last updated on 29/Sep/15 $${Simplify}\:: \\ $$$$\left(\mathrm{3}+\mathrm{4}{i}\right)^{\mathrm{3}−\mathrm{4}{i}} \\ $$ Commented by 112358 last updated on 29/Sep/15 $${Define}\:{z}=\left(\mathrm{3}+\mathrm{4}{i}\right)^{\mathrm{3}−\mathrm{4}{i}} \:{and}\:{w}=\mathrm{3}+\mathrm{4}{i}. \\ $$$$\mid{w}\mid=\sqrt{\mathrm{4}^{\mathrm{2}}…

If-r-1-find-an-expression-for-T-n-r-where-T-n-r-1-r-2-r-3-r-4-r-6-r-8-r-9-r-10-r-12-r-14-r-15-r-16-r-6n-

Question Number 1789 by 112358 last updated on 26/Sep/15 $${If}\:\mid{r}\mid\neq\mathrm{1},\:{find}\:{an}\:{expression}\:{for} \\ $$$${T}_{{n}} \left({r}\right),\:{where}\: \\ $$$${T}_{{n}} \left({r}\right)=\mathrm{1}+{r}^{\mathrm{2}} +{r}^{\mathrm{3}} +{r}^{\mathrm{4}} +{r}^{\mathrm{6}} +{r}^{\mathrm{8}} +{r}^{\mathrm{9}} \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:+{r}^{\mathrm{10}} +{r}^{\mathrm{12}} +{r}^{\mathrm{14}}…

The-n-positive-numbers-x-1-x-2-x-n-where-n-3-satisfy-x-1-1-1-x-2-x-2-1-1-x-3-x-n-1-1-1-x-n-and-x-n-1-1-x-1-Show-that-x-1-x-2-x-3-x-n-

Question Number 1777 by 112358 last updated on 22/Sep/15 $${The}\:{n}\:{positive}\:{numbers}\:{x}_{\mathrm{1}} ,{x}_{\mathrm{2}} ,…{x}_{{n}} \\ $$$${where}\:{n}\geqslant\mathrm{3},\:{satisfy}\: \\ $$$${x}_{\mathrm{1}} =\mathrm{1}+\frac{\mathrm{1}}{{x}_{\mathrm{2}} },{x}_{\mathrm{2}} =\mathrm{1}+\frac{\mathrm{1}}{{x}_{\mathrm{3}} },\:…\:,\:{x}_{{n}−\mathrm{1}} =\mathrm{1}+\frac{\mathrm{1}}{{x}_{{n}} } \\ $$$${and}\:{x}_{{n}} =\mathrm{1}+\frac{\mathrm{1}}{{x}_{\mathrm{1}}…