Category: Algebra

Question Number 7903 by tawakalitu last updated on 24/Sep/16 Commented by sou1618 last updated on 24/Sep/16 $$S=\frac{\underset{k=1}{\sum ^{99}}\sqrt{10+\sqrt{k}}}{\underset{k=1}{\sum ^{99}}\sqrt{10-\sqrt{k}}}$$$${S}\fallingdotseq{S}\:'=\frac{\:\:\int_{\mathrm{0}} ^{\mathrm{100}} \sqrt{\mathrm{10}+\sqrt{{x}}\:}\:{dx}\:}{\:\:\int_{\mathrm{0}}…

Question Number 7902 by tawakalitu last updated on 24/Sep/16 $$Thediameterofthewheelofacaris36cm.$$$$howmanyrevolutionscorrectto3significant$$$$figure,willitmaketocoveradistanceof1.05km$$$$take\pi =\frac{22}{7}$$ Answered by sandy_suhendra last updated on 24/Sep/16…

Question Number 73399 by mathocean1 last updated on 11/Nov/19 $$\{\begin{array}{l}{x}^2+y^2=65\\ (x-1)(y-1)=17\end{array}$$$$$$$$pleasehelpmetosolveit\dots$$ Commented by abdomathmax last updated on 11/Nov/19…

Question Number 138916 by mathsuji last updated on 20/Apr/21 $$\underset{1}{\stackrel{4}{\int }}\sqrt{\frac{\sqrt{z}-1}{\sqrt{z}}}dz=?$$ Answered by bramlexs22 last updated on 20/Apr/21 $$\sqrt{\frac{\sqrt{\mathrm{z}}-1}{\sqrt{\mathrm{z}}}}=\mathrm{r};\frac{\sqrt{\mathrm{z}}-1}{\sqrt{\mathrm{z}}}={\mathrm{r}}^2\to \{\begin{array}{l}\mathrm{z}=1\to \mathrm{r}=0\\ \mathrm{z}=4\to \mathrm{r}=\sqrt{\frac{1}{2}}\end{array}$$$$\Rightarrow\mathrm{r}^{\mathrm{2}}…

Question Number 73356 by behi83417@gmail.com last updated on 10/Nov/19 Commented by ajfour last updated on 11/Nov/19 $$IhadtriedQ.3.Itdidnotyield$$$$anysolution,sir.$$ Commented by behi83417@gmail.com last…