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Author: Tinku Tara

Question-69192

Question Number 69192 by TawaTawa last updated on 21/Sep/19 Answered by mr W last updated on 21/Sep/19 $${let}\:\angle{BAD}=\alpha \\ $$$${side}\:{length}\:={a} \\ $$$$\frac{{a}}{\mathrm{sin}\:\left(\mathrm{60}+\alpha\right)}=\frac{\mathrm{3}}{\mathrm{sin}\:\alpha}\:\:\:\:…\left({i}\right) \\ $$$$\frac{{a}}{\mathrm{sin}\:\left(\mathrm{60}+\mathrm{30}−\alpha\right)}=\frac{{a}}{\mathrm{cos}\:\alpha}=\frac{\mathrm{5}}{\mathrm{sin}\:\left(\mathrm{30}−\alpha\right)}\:\:\:…\left({ii}\right) \\…

Give-an-example-of-differential-equation-which-has-no-solutions-

Question Number 3656 by prakash jain last updated on 17/Dec/15 $$\mathrm{Give}\:\mathrm{an}\:\mathrm{example}\:\mathrm{of}\:\mathrm{differential}\:\mathrm{equation}\:\mathrm{which} \\ $$$$\mathrm{has}\:\mathrm{no}\:\mathrm{solutions}. \\ $$ Answered by Filup last updated on 18/Dec/15 $${Weierstrass}\:{function} \\ $$$$\mathrm{is}\:\mathrm{a}\:\mathrm{fuction}\:\mathrm{that}\:\mathrm{is}\:\mathrm{continuous}\:\mathrm{at}\:\mathrm{all}…

f-x-p-q-x-p-q-p-Z-q-Z-q-0-p-q-1-x-10x-overtise-does-f-is-continuous-

Question Number 3655 by 123456 last updated on 17/Dec/15 $${f}\left({x}\right)=\begin{cases}{{p}+{q}}&{{x}=\frac{{p}}{{q}},{p}\in\mathbb{Z},{q}\in\mathbb{Z},{q}\neq\mathrm{0},\left({p},{q}\right)=\mathrm{1}}\\{\lfloor{x}\rfloor+\lfloor\mathrm{10}{x}\rfloor}&{\mathrm{overtise}}\end{cases} \\ $$$$\mathrm{does}\:{f}\:\mathrm{is}\:\mathrm{continuous}? \\ $$ Commented by prakash jain last updated on 18/Dec/15 $${choose}\:{p}\notin\mathbb{Q},\:\mathrm{say}\:{p}=\pi \\ $$$$\mathrm{Checking}\:\mathrm{for}\:\mathrm{definition}…

Question-134721

Question Number 134721 by 0731619177 last updated on 06/Mar/21 Commented by CutieJanab last updated on 06/Mar/21 $${i}\:{want}\:{to}\:{shre}\:{my}\:{queztion}\:{but}\:{i}\:{dont}\:{know}\:{how}\:{can}\:{i}\:{upload}\:{my}\:{wuestion}\:{cam}\:{you}\:{help}\:{me}… \\ $$ Commented by mr W last updated…

If-a-n-is-sum-of-the-all-primitive-n-th-root-of-unity-Does-n-1-a-n-converge-An-n-th-root-of-unity-say-z-is-primitive-if-it-is-not-k-th-root-of-unity-where-k-lt-n-or-z-n-1-and-z

Question Number 3650 by prakash jain last updated on 18/Dec/15 $$\mathrm{If}\:{a}_{{n}} \:\mathrm{is}\:\mathrm{sum}\:\mathrm{of}\:\mathrm{the}\:\mathrm{all}\:\mathrm{primitive}\:{n}^{{th}} \:\mathrm{root}\:\mathrm{of} \\ $$$$\mathrm{unity}. \\ $$$$\mathrm{Does}\:\underset{{n}=\mathrm{1}} {\overset{\infty} {\sum}}{a}_{{n}} \:\mathrm{converge}? \\ $$$$\mathrm{An}\:{n}^{{th}} \:\mathrm{root}\:\mathrm{of}\:\mathrm{unity},\:\mathrm{say}\:{z},\:\mathrm{is}\:\mathrm{primitive}\:\mathrm{if}\:\mathrm{it}\:\mathrm{is}\:\mathrm{not} \\ $$$${k}^{{th}}…

Draw-a-line-segment-equal-to-ab-units-when-AB-a-units-and-CD-b-units-are-given-Only-ruler-and-compass-may-be-used-

Question Number 3647 by Rasheed Soomro last updated on 17/Dec/15 $${Draw}\:{a}\:{line}\:{segment}\:{equal}\:{to} \\ $$$$\boldsymbol{{ab}}\:{units}\:{when}\:{AB}=\boldsymbol{{a}}\:{units}\:\:{and}\:{CD}=\boldsymbol{{b}}\:{units}\: \\ $$$${are}\:{given}.\:{Only}\:{ruler}\:{and}\:{compass}\:{may}\:{be} \\ $$$${used}. \\ $$ Commented by prakash jain last updated…