Question Number 12630 by sin (x) last updated on 27/Apr/17 $${f}\left({x}\right)=\left({x}^{} −\mathrm{3}\right)^{\mathrm{10}} \\ $$$$ \\ $$$$\underset{{h}\rightarrow\mathrm{0}} {\mathrm{lim}}\frac{{f}\left(\mathrm{2}+\mathrm{5}{h}\right)−{f}\left(\mathrm{2}+\mathrm{3}{h}\right)}{{h}}=? \\ $$ Answered by ajfour last updated on…
Question Number 78162 by TawaTawa last updated on 14/Jan/20 $$\mathrm{Find}\:\mathrm{the}\:\mathrm{sum}\:\mathrm{of}\:\mathrm{nth}\:\mathrm{term} \\ $$$$\:\:\:\underset{\mathrm{k}\:=\:\mathrm{1}} {\overset{\mathrm{n}} {\sum}}\:\frac{\mathrm{1}}{\mathrm{k}^{\mathrm{2}} } \\ $$ Commented by msup trace by abdo last updated…
Question Number 12628 by sin (x) last updated on 27/Apr/17 Answered by ajfour last updated on 27/Apr/17 $${Area}\left({ABCD}\right)=\frac{\mathrm{1}}{\mathrm{2}}\left({AD}+{BC}\right)\left({AB}\right) \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:=\:\frac{\mathrm{1}}{\mathrm{2}}\left(\mathrm{2}\sqrt{\mathrm{13}^{\mathrm{2}} −\mathrm{12}^{\mathrm{2}} }\right)\left(\mathrm{24}\right) \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:=\mathrm{120}\:\:\:\:\:\:\left(\boldsymbol{{B}}\right)\:. \\…
Question Number 12621 by b.e.h.i.8.3.4.1.7@gmail.com last updated on 27/Apr/17 Commented by b.e.h.i.8.3.4.1.7@gmail.com last updated on 27/Apr/17 $${one}\:{or}\:{more}\:{is}\:{true}.{find}\:{it}\:{or}\:{them}! \\ $$ Terms of Service Privacy Policy Contact:…
Question Number 12623 by b.e.h.i.8.3.4.1.7@gmail.com last updated on 27/Apr/17 Commented by b.e.h.i.8.3.4.1.7@gmail.com last updated on 27/Apr/17 $${one}\:{or}\:{more}\:{is}\:{true}.{find}\:{it}\:{or}\:{them}! \\ $$ Answered by prakash jain last updated…
Question Number 143684 by Huy last updated on 17/Jun/21 $$\mathrm{x}^{\mathrm{3}} +\mathrm{x}−\mathrm{1}=^{\mathrm{3}} \sqrt{\mathrm{2x}^{\mathrm{3}} +\mathrm{11}}+\sqrt{\mathrm{5x}^{\mathrm{2}} +\mathrm{16}} \\ $$$$\mathrm{Find}\:\mathrm{x}\in\mathbb{R} \\ $$ Answered by TheHoneyCat last updated on 17/Jun/21…
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Question Number 78108 by mr W last updated on 14/Jan/20 Commented by mr W last updated on 14/Jan/20 $${find}\:{the}\:{relation}\:{between}\:{a}\:{and}\:{c}. \\ $$$$ \\ $$$$\left({i}\:{reposted}\:{the}\:{question}\:{here}\:{to}\:{avoid}\right. \\ $$$${that}\:{the}\:{solution}\:{will}\:{be}\:{deleted}\:{by}…
Question Number 78102 by Pratah last updated on 14/Jan/20 Commented by MJS last updated on 14/Jan/20 $$\mathrm{solve}\:\mathrm{the}\:\mathrm{system}\:\mathrm{for}\:{a},\:{b},\:{c},\:{d}\:\mathrm{with}\:\mathrm{any}\:\mathrm{of} \\ $$$$\mathrm{these}\:\mathrm{as}\:\mathrm{parameter},\:\mathrm{then}\:\mathrm{calculate}\:\mathrm{the} \\ $$$$\mathrm{needed}\:\mathrm{values}\:\Rightarrow\:\mathrm{done}! \\ $$ Answered by…
Question Number 143597 by Videz last updated on 16/Jun/21 $${s}\:=\:{ut}\:+\:\frac{\mathrm{1}}{\mathrm{2}}{at}^{\mathrm{2}} \:\:\Rightarrow\:\:{t}^{\mathrm{2}} \:+\:\mathrm{2}\frac{{u}}{{a}}{t}\:−\:\mathrm{2}\frac{{s}}{{a}}\:=\:\mathrm{0} \\ $$$${by}\:{the}\:{use}\:{of}\:{quadratic}\:{formula} \\ $$$${t}\:=\:\frac{−\frac{\mathrm{2}{u}}{{a}}\:\pm\:\sqrt{\frac{\mathrm{4}{u}^{\mathrm{2}} }{{a}^{\mathrm{2}} }\:+\:\mathrm{4}{s}}}{\mathrm{2}} \\ $$$${t}\:=\:−\frac{{u}}{{a}}\:\:\pm\:\:\sqrt{\frac{{u}^{\mathrm{2}} }{{a}^{\mathrm{2}} }\:+\:{s}} \\ $$$${Victor}\:\:{Francis} \\…