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Author: Tinku Tara

d-x-dx-

Question Number 203994 by Davidtim last updated on 03/Feb/24 $${d}\left(\frac{{x}!}{{dx}}\right)=? \\ $$ Answered by Frix last updated on 03/Feb/24 $$\forall{x}\in\mathbb{N}:\:{x}!:=\underset{{n}=\mathrm{1}} {\overset{{x}} {\prod}}{n};\:\mathrm{0}!:=\mathrm{1}\:\Rightarrow \\ $$$$\Rightarrow\:{x}!\:\mathrm{is}\:\mathrm{not}\:\mathrm{continuous}\:\Rightarrow \\…

lim-x-2-ax-2-bx-6-x-2-x-2-10-find-a-b-

Question Number 203980 by Davidtim last updated on 03/Feb/24 $$\underset{{x}\rightarrow\mathrm{2}} {\mathrm{lim}}\frac{{ax}^{\mathrm{2}} +{bx}+\mathrm{6}}{{x}^{\mathrm{2}} −{x}−\mathrm{2}}=\mathrm{10}\:\:;\:\:\:{find}\:\:{a}=?\:\wedge\:{b}=? \\ $$ Answered by AST last updated on 03/Feb/24 $$\frac{{a}\left({x}^{\mathrm{2}} −{x}−\mathrm{2}\right)+\left({b}+{a}\right){x}+\mathrm{6}+\mathrm{2}{a}}{{x}^{\mathrm{2}} −{x}−\mathrm{2}}=\mathrm{10}…

Find-cos44-cos84-ctg45-

Question Number 204005 by hardmath last updated on 03/Feb/24 $$\mathrm{Find}: \\ $$$$\mathrm{cos44}°\:−\:\mathrm{cos84}°\:+\:\mathrm{ctg45}°\:=\:? \\ $$ Commented by Frix last updated on 04/Feb/24 $$\mathrm{We}\:\mathrm{cannot}\:\mathrm{get}\:\mathrm{an}\:\mathrm{expression}\:\mathrm{for}\:\mathrm{cos}\:\mathrm{44}°. \\ $$ Answered…

Let-P-C-X-p-x-2-1-p-2-x-1-p-0-0-determin-all-polynom-

Question Number 203975 by witcher3 last updated on 03/Feb/24 $$\mathrm{Let}\:\mathrm{P}\in\mathbb{C}\left[\mathrm{X}\right] \\ $$$$\mathrm{p}\left(\mathrm{x}^{\mathrm{2}} +\mathrm{1}\right)=\mathrm{p}^{\mathrm{2}} \left(\mathrm{x}\right)+\mathrm{1} \\ $$$$\mathrm{p}\left(\mathrm{0}\right)=\mathrm{0} \\ $$$$\mathrm{determin}\:\mathrm{all}\:\mathrm{polynom}\: \\ $$ Commented by Rasheed.Sindhi last updated…

Question-203969

Question Number 203969 by mr W last updated on 03/Feb/24 Answered by Rasheed.Sindhi last updated on 03/Feb/24 $$?={x} \\ $$$$\bigtriangleup\mathrm{ABC}\sim\bigtriangleup\mathrm{ADE} \\ $$$$\frac{\mathrm{3}}{{r}}=\frac{\mathrm{4}}{\mathrm{4}−{r}}=\frac{\mathrm{5}}{{x}+{r}}\Rightarrow\mathrm{4}{r}=\mathrm{12}−\mathrm{3}{r}\Rightarrow{r}=\frac{\mathrm{12}}{\mathrm{7}} \\ $$$$\frac{\mathrm{3}}{{r}}=\frac{\mathrm{5}}{{x}+{r}}\Rightarrow\frac{\mathrm{3}}{\frac{\mathrm{12}}{\mathrm{7}}}=\frac{\mathrm{5}}{{x}+\frac{\mathrm{12}}{\mathrm{7}}} \\…

In-a-convex-quadrilateral-ABCD-if-sinA-cosB-then-find-the-range-of-S-3sinA-4sinB-5-2-sinC-5-2-sinD-

Question Number 203970 by CrispyXYZ last updated on 03/Feb/24 $$\mathrm{In}\:\mathrm{a}\:\mathrm{convex}\:\mathrm{quadrilateral}\:{ABCD}\:,\: \\ $$$$\mathrm{if}\:\mathrm{sin}{A}\:=\:\mathrm{cos}{B},\:\mathrm{then}\:\mathrm{find}\:\mathrm{the}\:\mathrm{range}\:\mathrm{of} \\ $$$${S}\:=\:\mathrm{3sin}{A}\:+\:\mathrm{4sin}{B}\:+\:\mathrm{5}\sqrt{\mathrm{2}}\mathrm{sin}{C}\:+\:\mathrm{5}\sqrt{\mathrm{2}}\mathrm{sin}{D}. \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com