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Author: Tinku Tara

hi-everyone-what-is-the-definition-of-the-tangent-straight-line-to-the-curve-without-relying-to-the-derivitve-because-the-derivative-is-the-slope-and-thanx-for-all-

Question Number 89698 by M±th+et£s last updated on 18/Apr/20 $${hi}\:{everyone} \\ $$$${what}\:{is}\:{the}\:{definition}\:{of}\:{the}\:{tangent} \\ $$$${straight}\:{line}\:{to}\:{the}\:{curve}\:{without}\:{relying} \\ $$$${to}\:\:{the}\:{derivitve}\: \\ $$$${because}\:{the}\:{derivative}\:{is}\:{the}\:{slope} \\ $$$${and}\:{thanx}\:{for}\:{all} \\ $$ Commented by mr…

A-door-is-hinged-at-one-end-and-is-free-to-rotate-about-a-vertical-axis-Does-its-weight-cause-any-torque-about-this-axis-Give-reason-for-your-answer-

Question Number 24161 by Tinkutara last updated on 13/Nov/17 $$\mathrm{A}\:\mathrm{door}\:\mathrm{is}\:\mathrm{hinged}\:\mathrm{at}\:\mathrm{one}\:\mathrm{end}\:\mathrm{and}\:\mathrm{is}\:\mathrm{free} \\ $$$$\mathrm{to}\:\mathrm{rotate}\:\mathrm{about}\:\mathrm{a}\:\mathrm{vertical}\:\mathrm{axis}.\:\mathrm{Does}\:\mathrm{its} \\ $$$$\mathrm{weight}\:\mathrm{cause}\:\mathrm{any}\:\mathrm{torque}\:\mathrm{about}\:\mathrm{this} \\ $$$$\mathrm{axis}?\:\mathrm{Give}\:\mathrm{reason}\:\mathrm{for}\:\mathrm{your}\:\mathrm{answer}. \\ $$ Commented by Tinkutara last updated on 13/Nov/17…

f-x-1-a-x-1-a-x-and-D-f-g-x-ax-1-f-1-ax-a-find-D-g-

Question Number 155231 by mnjuly1970 last updated on 27/Sep/21 $$ \\ $$$$\:\:\:{f}\:\left({x}\right)\::=\sqrt{\frac{\mathrm{1}}{{a}}\:+{x}}\:−\sqrt{\frac{\mathrm{1}}{{a}}\:−{x}} \\ $$$$\:\:{and}\:\:\:\:\mathrm{D}_{{f}} \:\neq\:\varnothing\:, \\ $$$$\:\:\:\:\:\:\:{g}\left({x}\right)=\sqrt{\frac{{ax}−\mathrm{1}}{{f}^{\:−\mathrm{1}} \left(\:{ax}\:−{a}\:\right)}} \\ $$$$\:\:\:\:\:\:\:\:{find}\::\:\:\mathrm{D}_{\:{g}} \:=? \\ $$ Terms of…