Question Number 227521 by mr W last updated on 07/Feb/26 Commented by mr W last updated on 07/Feb/26 As shown in the figure, 100 wooden blocks, each with weight 5 N, are clamped by two forces of magnitude F from the left and right. All contact surfaces have the same roughness. What is the friction force between block No. 27 and block No. 28? Which friction coefficient should the contact surfaces at least have? Terms of Service Privacy Policy Contact:…
Question Number 227514 by fajafa last updated on 06/Feb/26 $${e}^{{x}} \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 227509 by Lara2440 last updated on 06/Feb/26 $$\boldsymbol{\mathrm{PLS}}\:\boldsymbol{\mathrm{HELP}}!!!!! \\ $$$$\mathrm{we}\:\mathrm{want}\:\mathrm{to}\:\mathrm{prove}\:\underset{{h}\rightarrow\mathrm{0}^{\pm} } {\mathrm{lim}}\:\frac{\left({x}+{h}\right)^{{n}} −{x}^{{n}} }{{h}}={n}\centerdot{x}^{{n}−\mathrm{1}} \:\mathrm{by}\:\mathrm{using}\:\mathrm{the}\:\boldsymbol{\epsilon}-\boldsymbol{\delta}\:\mathrm{argument} \\ $$$$\mathrm{def}.\:\forall\boldsymbol{\epsilon}>\mathrm{0}\:,\:\exists\boldsymbol{\delta}>\mathrm{0}\:\mathrm{s}.\mathrm{t}.\:\mid{x}−\alpha\mid<\boldsymbol{\delta}\:\Rightarrow\mid{f}\left({x}\right)−{L}\mid<\boldsymbol{\epsilon} \\ $$$$\mathrm{Now},\:\mathrm{we}\:\mathrm{want}\:\mathrm{to}\:\mathrm{show}\:\mathrm{that}\: \\ $$$$\mathrm{for}\:\mathrm{all}\:\boldsymbol{\epsilon}>\mathrm{0}\:,\:\mathrm{Exist}\:\boldsymbol{\delta}>\mathrm{0}\:\mathrm{s}.\mathrm{t}.\:\mid{x}−\alpha\mid<\boldsymbol{\delta}\:\:\mathrm{Implies}\:\mid\frac{{x}^{{n}} −\alpha^{{n}} }{{x}−\alpha}−{n}\centerdot\alpha^{{n}−\mathrm{1}}…
Question Number 227500 by Spillover last updated on 04/Feb/26 Terms of Service Privacy Policy Contact: info@tinkutara.com
Question Number 227501 by Spillover last updated on 04/Feb/26 Answered by Kassista last updated on 05/Feb/26 $$\mathrm{3}−{bromo}−\mathrm{2},\mathrm{2}−{dimethylbutane} \\ $$ Terms of Service Privacy Policy Contact:…
Question Number 227487 by Lara2440 last updated on 06/Feb/26 $$\mathrm{prove}\:\:\underset{{h}\rightarrow\mathrm{0}} {\mathrm{lim}}\:\frac{\left({x}+{h}\right)^{{n}} −{x}^{{n}} }{{h}}={n}\centerdot{x}^{{n}−\mathrm{1}} \\ $$$$\mathrm{for}\:\mathrm{all}\:\epsilon>\mathrm{0}\:\mathrm{Exist}\:\delta>\mathrm{0}\:\:\mathrm{such}\:\mathrm{that} \\ $$$$\:\mathrm{0}<\mid{x}−\xi\mid<\delta\:\:\mathrm{Implies}\:\mid\frac{{f}\left({x}\right)−{f}\left(\xi\right)}{{x}−\xi}−{f}^{\left(\mathrm{1}\right)} \left(\xi\right)\mid<\epsilon \\ $$$$\mathrm{let}'\mathrm{s}\:{f}\left({x}\right)={x}^{{n}} \: \\ $$$$\forall\epsilon>\mathrm{0}\:,\:\exists\delta>\mathrm{0}\:\mathrm{such}\:\mathrm{that}\:\mathrm{0}<\mid{x}−\xi\mid<\delta\:\rightarrow\:\mid\frac{{x}^{{n}} −\xi^{{n}} }{{x}−\xi}−{n}\xi^{{n}−\mathrm{1}}…
Question Number 227499 by Spillover last updated on 04/Feb/26 Answered by Kassista last updated on 05/Feb/26 $${C} \\ $$ Terms of Service Privacy Policy Contact:…
Question Number 227494 by Ari last updated on 04/Feb/26 Commented by Ari last updated on 04/Feb/26 $${the}\:{shape}\:{is}\:{up} \\ $$ Answered by wongb1506 last updated on…
Question Number 227495 by Ari last updated on 04/Feb/26 Commented by Ari last updated on 04/Feb/26 $${thequestionisbelow} \\ $$ Terms of Service Privacy Policy Contact:…
Question Number 227489 by gregori last updated on 04/Feb/26 $$\mathrm{1}+\mathrm{2}−\mathrm{3}−\mathrm{4}+\mathrm{5}+\mathrm{6}−\mathrm{7}−\mathrm{8}+\mathrm{9}+\mathrm{10}−\mathrm{11}−\mathrm{12}+ \\ $$$$…\:+\mathrm{100}\:=? \\ $$ Commented by Tinku Tara last updated on 04/Feb/26 $$\mathrm{3}−\mathrm{7}+\mathrm{11}−\mathrm{15} \\ $$$$\mathrm{3}+\mathrm{11}+\mathrm{19}+\mathrm{27}+\mathrm{35}+..+\mathrm{195}−…