Menu Close

Category: Others

If-f-x-3-x-2-find-f-3-h-f-3-h-

Question Number 181014 by Mastermind last updated on 20/Nov/22 $$\mathrm{If}\:\mathrm{f}\left(\mathrm{x}\right)=\mathrm{3}−\mathrm{x}^{\mathrm{2}} ,\:\:\:\:\mathrm{find}\:\frac{\mathrm{f}\left(\mathrm{3}+\mathrm{h}\right)−\mathrm{f}\left(\mathrm{3}\right)}{\mathrm{h}} \\ $$$$ \\ $$$$. \\ $$ Commented by CElcedricjunior last updated on 20/Nov/22 $$\boldsymbol{{f}}\left(\boldsymbol{{x}}\right)=\mathrm{3}−\boldsymbol{{x}}^{\mathrm{2}}…

Please-help-me-solve-this-question-How-many-4-digits-number-with-all-digits-different-are-tbere-between-1000-and-9999-such-tbat-the-difference-between-the-first-and-the-last-digit-is-plus-or-ninus-3

Question Number 49930 by OTCHRRE ABDULLAI last updated on 12/Dec/18 $${Please}\:{help}\:{me}\:{solve}\:{this}\:{question} \\ $$$${How}\:{many}\:\mathrm{4}\:{digits}\:{number}\:{with}\:{all}\:\:{digits}\: \\ $$$${different}\:{are}\:{tbere}\:{between}\:\mathrm{1000}\:{and}\:\mathrm{9999} \\ $$$${such}\:{tbat}\:{the}\:{difference}\:{between}\:{the}\:{first} \\ $$$${and}\:{the}\:{last}\:{digit}\:{is}\:{plus}\:{or}\:{ninus}\:\mathrm{3}. \\ $$$$ \\ $$ Answered by…

For-this-problem-we-define-the-fractional-part-of-x-R-0-as-x-x-x-where-x-is-the-integer-part-of-x-i-e-the-greatest-integer-less-than-or-equal-to-x-a-Draw-the-function-x-in-a-cord

Question Number 180926 by Mastermind last updated on 19/Nov/22 $$\mathrm{For}\:\mathrm{this}\:\mathrm{problem},\:\mathrm{we}\:\mathrm{define}\:\mathrm{the}\: \\ $$$$\mathrm{fractional}\:\mathrm{part}\:\mathrm{of}\:\mathrm{x}\in\mathbb{R}_{\geqslant\mathrm{0}} \:\mathrm{as} \\ $$$$\left\{\mathrm{x}\right\}\:=\:\mathrm{x}\:−\:\lfloor\mathrm{x}\rfloor \\ $$$$\mathrm{where}\:\lfloor\mathrm{x}\rfloor\:\mathrm{is}\:\mathrm{the}\:\mathrm{integer}\:\mathrm{part}\:\mathrm{of}\:\mathrm{x},\:\mathrm{i}.\mathrm{e} \\ $$$$\mathrm{the}\:\mathrm{greatest}\:\mathrm{integer}\:\mathrm{less}\:\mathrm{than}\:\mathrm{or}\:\mathrm{equal} \\ $$$$\mathrm{to}\:\mathrm{x}. \\ $$$$\left(\mathrm{a}\right)\:\mathrm{Draw}\:\mathrm{the}\:\mathrm{function}\:\left\{\mathrm{x}\right\}\:\mathrm{in}\:\mathrm{a}\:\mathrm{cordinate} \\ $$$$\mathrm{system}\:\mathrm{for}\:\mathrm{0}\leqslant\mathrm{x}\leqslant\mathrm{3}…

Question-180867

Question Number 180867 by Noorzai last updated on 18/Nov/22 Answered by mr W last updated on 18/Nov/22 $${n}\mathrm{ln}\:{n}=\mathrm{ln}\:\mathrm{100} \\ $$$${e}^{\mathrm{ln}\:{n}} \mathrm{ln}\:{n}=\mathrm{ln}\:\mathrm{100} \\ $$$$\Rightarrow\mathrm{ln}\:{n}={W}\left(\mathrm{ln}\:\mathrm{100}\right) \\ $$$$\Rightarrow{n}={e}^{{W}\left(\mathrm{ln}\:\mathrm{100}\right)}…

Question-180866

Question Number 180866 by Mastermind last updated on 18/Nov/22 Answered by mr W last updated on 18/Nov/22 $$\mathrm{1}+\mathrm{2}+\mathrm{3}+…+{n}=\frac{{n}\left({n}+\mathrm{1}\right)}{\mathrm{2}} \\ $$$$\mathrm{1}^{\mathrm{2}} +\mathrm{2}^{\mathrm{2}} +\mathrm{3}^{\mathrm{2}} +…+{n}^{\mathrm{2}} =\frac{{n}\left({n}+\mathrm{1}\right)\left(\mathrm{2}{n}+\mathrm{1}\right)}{\mathrm{6}} \\…

Question-180858

Question Number 180858 by Mastermind last updated on 18/Nov/22 Answered by mr W last updated on 18/Nov/22 $${A}=\mathrm{2}×\frac{{a}×{a}×\mathrm{tan}\:\left[\frac{\mathrm{1}}{\mathrm{2}}\left(\frac{\pi}{\mathrm{2}}−\alpha\right)\right]}{\mathrm{2}} \\ $$$$\:\:\:={a}^{\mathrm{2}} \mathrm{tan}\:\left(\frac{\pi}{\mathrm{4}}−\frac{\alpha}{\mathrm{2}}\right) \\ $$ Commented by…

Without-using-table-find-the-values-of-1-1-3-2-1-1-3-2-Mastermind-

Question Number 180837 by Mastermind last updated on 17/Nov/22 $$\mathrm{Without}\:\mathrm{using}\:\mathrm{table},\:\mathrm{find}\:\mathrm{the}\:\mathrm{values} \\ $$$$\mathrm{of}: \\ $$$$\frac{\mathrm{1}}{\left(\mathrm{1}−\sqrt{\mathrm{3}}\right)^{\mathrm{2}} }\:−\:\frac{\mathrm{1}}{\left(\mathrm{1}+\sqrt{\mathrm{3}}\right)^{\mathrm{2}} } \\ $$$$ \\ $$$$\mathrm{Mastermind} \\ $$ Answered by Rasheed.Sindhi…