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Author: Tinku Tara

I-2-sin-x-x-dx-dI-d-

Question Number 139878 by bramlexs22 last updated on 02/May/21 $$\:\:\:\:\:\:\:\mathrm{I}\left(\alpha\right)\:=\:\underset{\alpha} {\overset{\alpha^{\mathrm{2}} } {\int}}\:\frac{\mathrm{sin}\:\alpha\mathrm{x}}{\mathrm{x}}\:\mathrm{dx}\: \\ $$$$\:\:\:\:\:\:\:\frac{\mathrm{dI}\left(\alpha\right)}{\mathrm{d}\alpha}\:=? \\ $$ Answered by EDWIN88 last updated on 02/May/21 $$\:\:\:\:\:\frac{\mathrm{dI}}{\mathrm{d}\alpha}\:=\:\underset{\alpha}…

x-3-ax-2-bx-c-0-Let-x-pt-q-t-1-p-3-t-3-3p-2-qt-2-3pq-2-t-q-3-a-t-1-p-2-t-2-2pqt-q-2-b-pt-q-t-2-2t-1-c-t-3-3t-2-3t-1-0-p-3-ap-2-bp-c-t-3-3p-2-q-ap-2-2apq-bq-2

Question Number 74339 by ajfour last updated on 22/Nov/19 $${x}^{\mathrm{3}} +{ax}^{\mathrm{2}} +{bx}+{c}=\mathrm{0} \\ $$$${Let}\:\:\:{x}=\frac{{pt}+{q}}{{t}+\mathrm{1}} \\ $$$${p}^{\mathrm{3}} {t}^{\mathrm{3}} +\mathrm{3}{p}^{\mathrm{2}} {qt}^{\mathrm{2}} +\mathrm{3}{pq}^{\mathrm{2}} {t}+{q}^{\mathrm{3}} \\ $$$$+{a}\left({t}+\mathrm{1}\right)\left({p}^{\mathrm{2}} {t}^{\mathrm{2}} +\mathrm{2}{pqt}+{q}^{\mathrm{2}}…

tent-persamaan-garis-singung-pada-lingkaran-a-x-2-y-2-4x-6y-7-0-dititik-yg-berabsis-2-b-x-2-2-y-3-2-16-tegak-lurus-garis-x-2y-4-0-

Question Number 8801 by arinto27 last updated on 28/Oct/16 $$\mathrm{tent}.\:\mathrm{persamaan}\:\mathrm{garis}\:\mathrm{singung}\:\mathrm{pada}\:\mathrm{lingkaran} \\ $$$$\mathrm{a}.\:\mathrm{x}^{\mathrm{2}} +\mathrm{y}^{\mathrm{2}} +\mathrm{4x}−\mathrm{6y}−\mathrm{7}=\mathrm{0}\:\mathrm{dititik}\:\mathrm{yg}\:\mathrm{berabsis}\:\mathrm{2}. \\ $$$$\mathrm{b}.\:\left(\:\mathrm{x}+\mathrm{2}\:\right)^{\mathrm{2}} \:\left(\mathrm{y}−\mathrm{3}\right)^{\mathrm{2}} \:=\mathrm{16}\:\mathrm{tegak}\:\mathrm{lurus}\:\mathrm{garis}\:\mathrm{x}−\mathrm{2y}+\mathrm{4}=\mathrm{0}. \\ $$ Answered by ridwan balatif last…

xy-24-x-3-y-xy-6-y-3-x-

Question Number 139874 by bramlexs22 last updated on 02/May/21 $$\begin{cases}{\mathrm{xy}+\mathrm{24}\:=\:\frac{\mathrm{x}^{\mathrm{3}} }{\mathrm{y}}}\\{\mathrm{xy}−\mathrm{6}\:=\:\frac{\mathrm{y}^{\mathrm{3}} }{\mathrm{x}}}\end{cases} \\ $$ Answered by EDWIN88 last updated on 03/May/21 $$\left(\mathrm{1}\right)\mathrm{xy}\:+\mathrm{24}\:=\:\frac{\mathrm{x}^{\mathrm{3}} }{\mathrm{y}}\:\:\:\:\:\:\left(\mathrm{2}\right)\:\mathrm{xy}−\mathrm{6}\:=\:\frac{\mathrm{y}^{\mathrm{3}} }{\mathrm{x}} \\…

find-the-contracted-form-of-n-p-2-n-p-1-n-p-2-

Question Number 74337 by Maclaurin Stickker last updated on 22/Nov/19 $${find}\:{the}\:{contracted}\:{form}\:{of}: \\ $$$$\begin{pmatrix}{{n}}\\{{p}}\end{pmatrix}+\mathrm{2}\begin{pmatrix}{\:\:\:{n}}\\{{p}+\mathrm{1}}\end{pmatrix}+\begin{pmatrix}{\:\:\:{n}}\\{{p}+\mathrm{2}}\end{pmatrix} \\ $$ Answered by MJS last updated on 23/Nov/19 $$\begin{pmatrix}{{n}}\\{{p}}\end{pmatrix}\:=\frac{{n}!}{{p}!\left({n}−{p}\right)!}=\frac{{n}!\left({p}+\mathrm{1}\right)\left({p}+\mathrm{2}\right)}{{p}!\left({n}−{p}\right)!\left({p}+\mathrm{1}\right)\left({p}+\mathrm{2}\right)} \\ $$$$\mathrm{2}\begin{pmatrix}{{n}}\\{{p}+\mathrm{1}}\end{pmatrix}\:=\frac{\mathrm{2}{n}!}{\left({p}+\mathrm{1}\right)!\left({n}−{p}−\mathrm{1}\right)!}=\frac{\mathrm{2}{n}!\left({n}−{p}\right)}{{p}!\left({n}−{p}\right)!\left({p}+\mathrm{1}\right)}=…

Question-139868

Question Number 139868 by I want to learn more last updated on 01/May/21 Answered by TheSupreme last updated on 02/May/21 $$\mathrm{10}\:{question} \\ $$$${P}\left({Answer}\:{correct}\:{per}\:{question}\right)=\mathrm{0}.\mathrm{5} \\ $$$${P}\left({N}\:{Answer}\:{correct}\right)=\begin{pmatrix}{\mathrm{10}}\\{{n}}\end{pmatrix}\mathrm{0}.\mathrm{5}^{\mathrm{10}}…

5-1-2-6-7-The-end-result-must-in-the-mixed-fraction-

Question Number 74335 by arthur.kangdani@gmail.com last updated on 22/Nov/19 $$\mathrm{5}\frac{\mathrm{1}}{\mathrm{2}}×\frac{\mathrm{6}}{\mathrm{7}}=?\: \\ $$$${The}\:{end}\:{result}\:{must}\:{in}\:{the} \\ $$$$\boldsymbol{{mixed}}\:\boldsymbol{{fraction}}. \\ $$ Answered by arthur.kangdani@gmail.com last updated on 26/Nov/19 $$\mathrm{5}\frac{\mathrm{1}}{\mathrm{2}}×\frac{\mathrm{6}}{\mathrm{7}}=\frac{\mathrm{11}}{\mathrm{2}}×\frac{\mathrm{6}}{\mathrm{7}}=\frac{\mathrm{66}}{\mathrm{14}}=\frac{\mathrm{33}}{\mathrm{7}}=\mathrm{4}\frac{\mathrm{5}}{\mathrm{7}} \\…

please-solve-0-f-x-dx-g-x-

Question Number 8798 by javawithfish last updated on 28/Oct/16 $${please}\:{solve} \\ $$$$\int_{\mathrm{0}} ^{\infty} {f}\left({x}\right){dx}={g}\left({x}\right) \\ $$ Commented by Yozzias last updated on 28/Oct/16 $$\mathrm{Impossible}\:\mathrm{unless}\:\mathrm{g}\left(\mathrm{x}\right)=\mathrm{f}\left(\mathrm{x}\right)=\mathrm{0}\:\forall\mathrm{x}\in\mathbb{R}.\:\mathrm{The}\:\mathrm{definite}\: \\…