Question and Answers Forum

All Questions      Topic List

Differentiation Questions

Previous in All Question      Next in All Question      

Previous in Differentiation      Next in Differentiation      

Question Number 192054 by cortano12 last updated on 07/May/23

$$\mathrm{If}\mathrm{Q}=\frac{2-\mathrm{x}}{\mathrm{y}-1};-5⩽\mathrm{x}<-1,5⩽\mathrm{y}<6$$ $$\mathrm{Find}{\mathrm{Q}}_{\max }.$$

Answered by mehdee42 last updated on 07/May/23

$$-5⩽x<-1\stackrel{\times -1}{\Rightarrow }1<-x⩽5\stackrel{+2}{\Rightarrow }3<2-x⩽7\left(i\right)$$ $$5⩽y<6\stackrel{-1}{\Rightarrow }4⩽y-1<5\stackrel{\updownarrow }{\Rightarrow }\frac{1}{5}<\frac{1}{y-1}⩽\frac{1}{4}\left(ii\right)$$ $$\left(i\right)\times \left(ii\right)\Rightarrow \frac{3}{5}<\frac{2-x}{y-1}⩽\frac{7}{4}\Rightarrow Q_{max}=\frac{7}{4}✓$$

Terms of Service

Privacy Policy

Contact: info@tinkutara.com