Category: Algebra

Question Number 119634 by Ar Brandon last updated on 25/Oct/20 $$\mathrm{Q}1$$$$\mathrm{If}f:\mathbb{R}\to \mathbb{R}\mathrm{is}\mathrm{defined}\mathrm{by}$$$$f\left(\mathrm{x}\right)=\left[\mathrm{x}\right]+[\mathrm{x}+\frac{1}{2}]+[\mathrm{x}+\frac{2}{3}]-3\mathrm{x}+5$$$$\mathrm{where}\left[\mathrm{x}\right]\mathrm{is}\mathrm{the}\mathrm{integral}\mathrm{part}\mathrm{of}\mathrm{x},\mathrm{then}\mathrm{a}\mathrm{period}\mathrm{of}f\mathrm{is}$$$$\left(\mathrm{A}\right)1\left(\mathrm{B}\right)2/3\left(\mathrm{C}\right)1/2\left(\mathrm{D}\right)1/3$$$$$$$$\mathrm{Q}2$$$$\mathrm{Let}\:{a}<\mathrm{c}<\mathrm{b}\:\mathrm{such}\:\mathrm{that}\:\mathrm{c}−{a}=\mathrm{b}−\mathrm{c}.\:\mathrm{If}\:{f}:\mathbb{R}\rightarrow\mathbb{R}\:\mathrm{is}\:\mathrm{a}…

Question Number 185164 by mnjuly1970 last updated on 17/Jan/23 Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 185163 by mnjuly1970 last updated on 17/Jan/23 Terms of Service Privacy Policy Contact: info@tinkutara.com

Question Number 185151 by mathlove last updated on 17/Jan/23 Answered by mr W last updated on 20/Jan/23 $$saythetouchingpointwiththe$$$$parabolais(-p,\frac{p^2}{2}).$$$$thecenterofcircleis(-R,h).$$$$\mathrm{tan}\:\theta={p}…

Question Number 185136 by Shrinava last updated on 17/Jan/23 Terms of Service Privacy Policy Contact: info@tinkutara.com