Category: Relation and Functions

Question Number 216077 by MATHEMATICSAM last updated on 27/Jan/25 $$\mathrm{Find}\mathrm{the}\mathrm{largest}\mathrm{value}\mathrm{of}\mathrm{the}\mathrm{non}\mathrm{negative}$$$$\mathrm{integer}p\mathrm{for}\mathrm{which}$$$$\underset{x\to 1}{\lim }{\left\{\frac{-px+\sin (x-1)+p}{x+\sin (x-1)-1}\right\}}^{\frac{1-x}{1-\sqrt{x}}}=\frac{1}{4}.$$ Answered by mahdipoor last updated on 27/Jan/25…

Question Number 215872 by amoussou last updated on 20/Jan/25 Commented by MathematicalUser2357 last updated on 20/Jan/25 Translate ??? Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 214644 by asifumer658 last updated on 14/Dec/24 $$\frac{-6}{7}/\frac{-7}{6}$$ Answered by Frix last updated on 17/Dec/24 $$\frac{-6}{7}/\frac{-7}{6}=(-\frac{6}{7})/(-\frac{7}{7})=(-\frac{6}{7})\times (-\frac{6}{7})=$$$$=\frac{36}{49}$$ Terms…

Question Number 212518 by efronzo1 last updated on 16/Oct/24 $$\cancel{\underbrace{\downharpoonleft }\underset{―}{}}$$ Answered by golsendro last updated on 16/Oct/24 $$\cancel{\underset{―}{\underbrace{\pm }}}={(\mathrm{x}-\mathrm{a})}^2+\mathrm{a}$$$$\:\:\mathrm{f}^{−\mathrm{1}} \left(\mathrm{x}\right)=\:\sqrt{\mathrm{x}−\mathrm{a}}\:+\mathrm{a}\:…

Question Number 209707 by alcohol last updated on 19/Jul/24 $$a,b\in \mathbb{C}:a\stackrel{-}{b}+b=0f:z^{\prime }=a\stackrel{-}{z}+b$$$$suchthatf\left(M\right)=M^{\prime }$$$$1.let{z}_A=zand{z}_{A^{\prime }}=z^{\prime }andf\left(A\right)=A$$$$showthat2Re\left(\stackrel{-}{bz}\right)=b\stackrel{-}{b}$$$$\left({A}\:{is}\:{the}\:{set}\:{of}\:{invariant}\:{points}\:{and}\right. \…