Question Number 8026 by Nayon last updated on 28/Sep/16 $${Find}\:{the}\:{factor}\:{of}\:\left(\mathrm{3}^{\mathrm{200}} +\mathrm{4}\right) \\ $$ Answered by Rasheed Soomro last updated on 28/Sep/16 $$\mathrm{3}^{\mathrm{200}} +\mathrm{4} \\ $$$$=\left(\mathrm{3}^{\mathrm{100}}…
Question Number 8027 by Nayon last updated on 28/Sep/16 $${prove}\rightarrow\:{any}\:{prime}\:{number}>\mathrm{2}\: \\ $$$${can}\:{be}\:{written}\:{into}\left(\:{x}^{\mathrm{2}} −{y}^{\mathrm{2}\:} \right)\:{where} \\ $$$$\left({x},{y}\right)\in{N} \\ $$ Commented by FilupSmith last updated on 28/Sep/16…
Question Number 8025 by Nayon last updated on 28/Sep/16 $${find}\:{factor}\:{of}\:\gg \\ $$$$\:\:\:\:\:\:\:\:\:\left(\mathrm{2}^{\mathrm{4}{n}+\mathrm{2}} +\mathrm{1}\right) \\ $$$${at}\:{the}\:{same}\:{way}\:{expand}\:\mathrm{2}^{\mathrm{58}} +\mathrm{1} \\ $$$$ \\ $$ Commented by Rasheed Soomro last…
Question Number 8022 by Nayon last updated on 28/Sep/16 $$ \\ $$$${prove}\:{that}\:\forall{x}\in\boldsymbol{{N}}\: \\ $$$$\left(\mathrm{2}{x}−\mathrm{1}\right)^{\mathrm{2}} +\left(\mathrm{2}{x}^{\mathrm{2}} −\mathrm{2}{x}\right)^{\mathrm{2}} \:\:{is}\:{a}\:{proper} \\ $$$${square}\:{number}. \\ $$ Commented by prakash jain…
Question Number 139090 by Shiella last updated on 22/Apr/21 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 73503 by ajfour last updated on 13/Nov/19 Commented by ajfour last updated on 13/Nov/19 $${Find}\:{the}\:{illuminated}\:{curved} \\ $$$${area}\:{of}\:{cone}\:{with}\:{radius}\:{a},\:{and} \\ $$$${altitude}\:{a}\sqrt{\mathrm{3}}\:.\:{Only}\:{the}\:{right}\:{half} \\ $$$${of}\:{cone}\:{is}\:{there}\:{with}\:{left}\:{half} \\ $$$${covered}\:{but}\:{with}\:{a}\:{largest}\:{circular}…
Question Number 73499 by TawaTawa last updated on 13/Nov/19 Commented by MJS last updated on 13/Nov/19 $$\mathrm{it}'\mathrm{s}\:\mathrm{not}\:\mathrm{unique}\:\mathrm{if}\:\mathrm{we}\:\mathrm{don}'\mathrm{t}\:\mathrm{know}\:\mid{OP}\mid=\mathrm{2}{r} \\ $$ Commented by TawaTawa last updated on…
Question Number 7945 by Rasheed Soomro last updated on 25/Sep/16 Commented by Rasheed Soomro last updated on 25/Sep/16 $${In}\:{above}\:{figure}\:{AF}\:,{a}\:{diameter}\:{of}\:{the} \\ $$$${circle}\:{with}\:{centre}\:{G}\:{has}\:{been}\:{trisected} \\ $$$${at}\:{B}\:\&\:{D}\:\left({i}-{e}\:{AB}={BD}={DF}\right) \\ $$$${Is}\:{there}\:{any}\:{point}\:{H}\:{on}\:{the}\:{circle}\:{for}…
Question Number 7935 by tawakalitu last updated on 24/Sep/16 $${Find}\:\:{U}_{{x}} \:,\:\:{U}_{{xy}\:} \:,\:\:{U}_{{yy}} \:\: \\ $$$${Given}\:{that}\::\:\: \\ $$$${U}\:=\:{x}^{\mathrm{3}} {y}\:−\:{siny} \\ $$ Commented by prakash jain last…
Question Number 7887 by tawakalitu last updated on 23/Sep/16 $${Find}\:{the}\:{first}\:{four}\:{terms}\:{of}\:{the}\:{power}\:{series}\: \\ $$$${expansion}\:{of}\:\:\:\:\:\frac{{sinx}}{\mathrm{1}\:−\:{x}}\:\:\: \\ $$ Answered by sandy_suhendra last updated on 23/Sep/16 $${from}\:{the}\:{power}\:{series}\:: \\ $$$${sin}\:{x}\:=\:\underset{{n}=\mathrm{0}} {\overset{\infty}…