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Category: Relation and Functions

Question-27050

Question Number 27050 by Joel578 last updated on 01/Jan/18 Commented by Joel578 last updated on 01/Jan/18 $$\left({a}\:+\:{c}\right)^{\mathrm{2}} \:−\:\left({b}\:+\:{d}\right)^{\mathrm{2}} \:=\:{a}^{\mathrm{2}} \:+\:{c}^{\mathrm{2}} \:+\:\mathrm{2}{ac}\:−\:{b}^{\mathrm{2}} \:−\:{d}^{\mathrm{2}} \:−\:\mathrm{2}{bd} \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:\:=\:\left({a}^{\mathrm{2}}…

given-eq-of-line-1-x-y-3-2-t-4-5-2-x-y-1-1-s-7-k-find-t-and-s-if-1-2-if-1-2-

Question Number 92301 by jagoll last updated on 06/May/20 $$\mathrm{given}\:\mathrm{eq}\:\mathrm{of}\:\mathrm{line}\: \\ $$$$\left(\mathrm{1}\right)\:\left[\:\mathrm{x},\mathrm{y}\:\right]\:=\:\left[\mathrm{3},−\mathrm{2}\right]\:+\:\mathrm{t}\:\left[\mathrm{4},−\mathrm{5}\right]\: \\ $$$$\left(\mathrm{2}\right)\:\left[\mathrm{x},\mathrm{y}\right]\:=\:\left[\mathrm{1},\mathrm{1}\right]\:+\:\mathrm{s}\:\left[\:\mathrm{7},\mathrm{k}\:\right]\: \\ $$$$\mathrm{find}\:\mathrm{t}\:\mathrm{and}\:\mathrm{s}\:\mathrm{if}\:\left(\mathrm{1}\right)\:\parallel\:\left(\mathrm{2}\right) \\ $$$$\mathrm{if}\:\left(\mathrm{1}\right)\:\bot\:\left(\mathrm{2}\right) \\ $$ Commented by jagoll last updated…

Given-L-n-0-if-n-1-L-n-2-1-if-n-gt-1-find-L-25-

Question Number 92197 by jagoll last updated on 05/May/20 $$\mathrm{Given}\:\mathrm{L}\left(\mathrm{n}\right)\:=\:\begin{cases}{\mathrm{0}\:,\:\mathrm{if}\:\mathrm{n}\:=\:\mathrm{1}}\\{\mathrm{L}\:\lfloor\frac{\mathrm{n}}{\mathrm{2}}\rfloor\:+\mathrm{1}\:,\:\mathrm{if}\:\mathrm{n}\:>\:\mathrm{1}}\end{cases} \\ $$$$\mathrm{find}\:\mathrm{L}\left(\mathrm{25}\right)\: \\ $$ Commented by john santu last updated on 05/May/20 $$\mathrm{L}\left(\mathrm{25}\right)=\:\mathrm{L}\left(\mathrm{12}\right)+\mathrm{1} \\ $$$$=\:\left[\:\mathrm{L}\left(\mathrm{6}\right)\:+\:\mathrm{1}\:\right]\:+\mathrm{1}\:=\:\mathrm{L}\left(\mathrm{6}\right)\:+\mathrm{2}…

find-the-consumption-function-when-MPC-is-c-y-0-8-0-1-y-and-that-C-Y-when-Y-100-

Question Number 26633 by jkssm1857@gmail.com last updated on 27/Dec/17 $$\mathrm{find}\:\mathrm{the}\:\mathrm{consumption}\:\mathrm{function}\:\mathrm{when}\:\mathrm{MPC}\:\mathrm{is}\:\mathrm{c}'\left(\mathrm{y}\right)=\mathrm{0}.\mathrm{8}+\mathrm{0}.\mathrm{1}\sqrt{\mathrm{y}\:} \\ $$$$\mathrm{and}\:\mathrm{that}\:\mathrm{C}=\mathrm{Y}\:\mathrm{when}\:\mathrm{Y}=\mathrm{100} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Find-all-f-R-R-such-that-f-x-f-x-f-y-f-y-f-x-x-f-y-f-f-y-for-all-x-y-R-

Question Number 26576 by gunawan last updated on 27/Dec/17 $$\mathrm{Find}\:\mathrm{all}\:{f}\::\:\mathrm{R}\rightarrow\mathrm{R}\:\mathrm{such}\:\mathrm{that} \\ $$$${f}\left({x}+{f}\left({x}\right)+{f}\left({y}\right)\right)={f}\left({y}+{f}\left({x}\right)\right)+{x}+{f}\left({y}\right)−{f}\left({f}\left({y}\right)\right)\: \\ $$$$\mathrm{for}\:\mathrm{all}\:{x},\:\mathrm{y}\:\in\:\mathrm{R} \\ $$ Commented by prakash jain last updated on 27/Dec/17 $${f}\left({x}+{f}\left({x}\right)+{f}\left({y}\right)\right)={f}\left({y}+{f}\left({x}\right)+{x}+{f}\left({y}\right)−{f}\left({f}\left({y}\right)\right)\right)?\:…

let-give-I-x-1-t-E-t-t-x-1-dt-prove-that-x-x-x-1-xI-x-then-chow-that-x-1-x-1-ew-x-gt-1-we-remind-x-n-1-1-n-x-and-x-gt-1-

Question Number 26571 by abdo imad last updated on 26/Dec/17 $${let}\:{give}\:\:{I}\left({x}\right)=\:\:\int_{\mathrm{1}} ^{\propto} \:\frac{{t}−{E}\left({t}\right)}{{t}^{{x}+\mathrm{1}} }{dt}\:\:\:{prove}\:{that} \\ $$$$\xi\left({x}\right)=\:\frac{{x}}{{x}−\mathrm{1}}\:−{xI}\left({x}\right)\:{then}\:{chow}\:{that}\:\left({x}−\mathrm{1}\right)_{{x}−\mathrm{1}^{+\:{ew}} } \xi\left({x}\right)−−>\mathrm{1} \\ $$$${we}\:{remind}\:\:\xi\left({x}\right)\:=\:\sum_{{n}\geqslant\mathrm{1}} \:\frac{\mathrm{1}}{{n}^{{x}} }\:\:\:{and}\:\:{x}>\mathrm{1} \\ $$ Commented…

f-and-g-are-two-continous-function-on-R-find-we-suppose-f-and-g-odd-determine-lim-x-0-gof-x-fog-x-x-

Question Number 92086 by mathmax by abdo last updated on 04/May/20 $${f}\:{and}\:{g}\:{are}\:{two}\:{continous}\:{function}\:{on}\:{R}\:{find} \\ $$$${we}\:{suppose}\:{f}\:{and}\:{g}\:{odd}\:\:{determine}\:{lim}_{{x}\rightarrow\mathrm{0}} \:\frac{{gof}\left({x}\right)−{fog}\left({x}\right)}{{x}} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com