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Question-217669

Question Number 217669 by MathWizz last updated on 17/Mar/25 Answered by SdC355 last updated on 18/Mar/25 $${x}=\:^{\mathrm{10}} \sqrt{{m}} \\ $$$$\mathrm{12}\left(^{\mathrm{10}} \sqrt{{m}}\right)^{\mathrm{7}/\mathrm{5}} +\mathrm{3}\left(^{\mathrm{10}} \sqrt{{m}}\right)^{\mathrm{2}/\mathrm{5}} =\mathrm{13}\left(^{\mathrm{10}} \sqrt{{m}}\right)^{\mathrm{9}/\mathrm{10}}…

If-f-x-2x-3-prove-that-f-x-1-2x-3-

Question Number 217664 by hardmath last updated on 17/Mar/25 $$\mathrm{If}\:\:\:\mathrm{f}\left(\mathrm{x}\right)\:=\:\sqrt{\mathrm{2x}\:+\:\mathrm{3}} \\ $$$$\mathrm{prove}\:\mathrm{that}:\:\:\:\mathrm{f}\:'\left(\mathrm{x}\right)\:=\:\frac{\mathrm{1}}{\:\sqrt{\mathrm{2x}\:+\:\mathrm{3}}}\: \\ $$ Answered by SdC355 last updated on 18/Mar/25 $${f}^{\left(\mathrm{1}\right)} \left({x}\right)=\underset{{h}\rightarrow\mathrm{0}} {\mathrm{lim}}\:\frac{{f}\left({x}+{h}\right)−{f}\left({x}\right)}{{h}}. \\…

Question-217565

Question Number 217565 by mr W last updated on 16/Mar/25 Commented by mr W last updated on 16/Mar/25 $${the}\:{strings}\:{are}\:{massless}\:{and}\:{there} \\ $$$${is}\:{no}\:{friction}\:{between}\:{strings}\:{and} \\ $$$${pulleys}. \\ $$$${find}\:{the}\:{accelerations}\:{of}\:{all}\:{objects}.…