Question Number 67393 by Prof 40 last updated on 26/Aug/19 $${let}\:{y}=\left({x}−\mathrm{3}\right)\phi\left(\mathrm{2}{x}+\mathrm{1}\right) \\ $$$${find}\:{dy}/{dx}\:{when}\:{x}=\mathrm{2} \\ $$ Commented by mathmax by abdo last updated on 27/Aug/19 $${if}\:{we}\:{suppose}\:{that}\:\varphi\:{is}\:{a}\:{function}\:\:{we}\:{get}…
Question Number 67382 by Mikael last updated on 26/Aug/19 $${calculate}\:{if}\:{there}\:{are}\:{maxims}\:{and}\:{minimus}\:{of} \\ $$$${the}\:{following}\:{function}: \\ $$$${y}=\begin{cases}{{x}^{\mathrm{2}} +\mathrm{1}\:{if}\:{x}\lneq\mathrm{1}}\\{−{x}+\mathrm{4}\:{if}\:{x}\geqslant\mathrm{1}}\end{cases} \\ $$ Commented by mr W last updated on 26/Aug/19…
Question Number 132905 by bramlexs22 last updated on 17/Feb/21 Answered by bobhans last updated on 17/Feb/21 $${Total}\:{surface}\:{area}\:=\:{A}\:=\pi{rh}+\:\mathrm{2}{hr}+\pi{r}^{\mathrm{2}} =\:\mathrm{200}{cm}^{\mathrm{2}} \\ $$$${h}\:=\:\frac{\mathrm{200}−\pi{r}^{\mathrm{2}} }{\mathrm{2}{r}+\pi{r}} \\ $$$${Vol}\:{of}\:{block}\:=\:{V}=\:\frac{\mathrm{1}}{\mathrm{2}}\pi{r}^{\mathrm{2}} {h} \\…
Question Number 132785 by liberty last updated on 16/Feb/21 Commented by liberty last updated on 16/Feb/21 $$\:\mathrm{y}=\mathrm{ax}^{\mathrm{4}} +\mathrm{bx}^{\mathrm{3}} +\mathrm{cx}^{\mathrm{2}} +\mathrm{dx}+\mathrm{e} \\ $$ Answered by MJS_new…
Question Number 132753 by liberty last updated on 16/Feb/21 $$\mathrm{Given}\:\mathrm{x},\mathrm{y}\:\in\mathbb{R}\:,\:\mathrm{x},\mathrm{y}\neq\:\mathrm{0} \\ $$$$\mathrm{Find}\:\mathrm{the}\:\mathrm{maximum}\:\mathrm{and}\:\mathrm{minimum} \\ $$$$\mathrm{value}\:\mathrm{of}\:\frac{\mathrm{xy}−\mathrm{4y}^{\mathrm{2}} }{\mathrm{x}^{\mathrm{2}} +\mathrm{4y}^{\mathrm{2}} }\: \\ $$ Commented by mr W last updated…
Question Number 132762 by liberty last updated on 16/Feb/21 Answered by EDWIN88 last updated on 16/Feb/21 $$\Rightarrow\mathrm{x}^{\mathrm{2}} +\mathrm{y}^{\mathrm{2}} =\:\mathrm{9}\:\Rightarrow\mathrm{x}^{\mathrm{2}} =\mathrm{9}−\mathrm{y}^{\mathrm{2}} \\ $$$$\mathrm{Volume}\:=\:\frac{\mathrm{1}}{\mathrm{3}}\pi\mathrm{x}^{\mathrm{2}} \left(\mathrm{3}+\mathrm{y}\right)=\:\frac{\mathrm{1}}{\mathrm{3}}\pi\left(\mathrm{9}−\mathrm{y}^{\mathrm{2}} \right)\left(\mathrm{3}+\mathrm{y}\right) \\…
Question Number 1676 by hhhggvghhh last updated on 31/Aug/15 $$\boldsymbol{{hhjghhjjgkggjggigfhpppkknbgjffffg}} \\ $$$$\boldsymbol{{biuggjnggtbnkoyfhjiuhbhuklphh}} \\ $$$$\boldsymbol{{jinbh}}\mathrm{678656}\boldsymbol{{kkiohhuggjngffjkkdooxk}} \\ $$$$\boldsymbol{{ikhhkjhv}}\mathrm{2}\left[\mathrm{65}\sqrt{\sqrt{\mathrm{58}\:\mathrm{889}<\boldsymbol{{lkkjkbmbbnnb}}}}\right. \\ $$$$\boldsymbol{{jkkhjm}}\sqrt{\boldsymbol{{nlm}}\mathrm{6}\boldsymbol{{jikmbh}}\sqrt{\boldsymbol{{jlbj}}}} \\ $$$$\boldsymbol{{jljbnkbbnmnmmnjknbjnrurubv}}\underset{\boldsymbol{{nkjnbmm}}} {\boldsymbol{{m}}} \\ $$$$\boldsymbol{{jjnbbnjnnj}}^{} \\ $$$$\boldsymbol{{nkn}}…
Question Number 132741 by mnjuly1970 last updated on 16/Feb/21 $$\:\:\:\:\:\:\:\:\:\:\:\:\:…{nice}\:\:\:\:{calculus}… \\ $$$$\:\:\int_{\mathrm{0}^{\:\:\:\:} \:\:} ^{\:\mathrm{1}} \frac{{dx}}{\left({x}−\mathrm{2}\right)\left({x}^{\mathrm{2}} \left(\mathrm{1}−{x}\right)^{\mathrm{3}} \right)^{\frac{\mathrm{1}}{\mathrm{5}}} }\:=? \\ $$ Commented by MJS_new last updated…
Question Number 1624 by 112358 last updated on 27/Aug/15 $${Find}\:{the}\:{first}\:{derivative}\:{of} \\ $$$${y}\left({x}\right)=\sqrt{{x}+\sqrt{{x}+\sqrt{{x}+\sqrt{{x}+\sqrt{{x}+…}}}}} \\ $$$${from}\:{first}\:{principles}.\: \\ $$$$ \\ $$ Commented by Rasheed Soomro last updated on…
Question Number 1571 by 112358 last updated on 20/Aug/15 $$\int_{\mathrm{0}} ^{\:\infty} \frac{{e}^{−\mathrm{3}{x}^{\mathrm{2}} } }{{x}^{\mathrm{1}/\mathrm{5}} }{dx}=? \\ $$ Answered by prakash jain last updated on 20/Aug/15…