Menu Close

Author: Tinku Tara

y-t-g-sin-y-t-0-L-s-y-t-g-L-s-sin-y-t-0-0-y-t-e-st-dt-g-0-sin-y-t-e-st-dt-0-0-y-t-g-y-t-y-t-3-3-y-t-5-5-e

Question Number 201740 by MathedUp last updated on 12/Dec/23 $${y}''\left({t}\right)+\frac{\mathrm{g}}{\ell}\centerdot\mathrm{sin}\left({y}\left({t}\right)\right)=\mathrm{0} \\ $$$$\boldsymbol{\mathcal{L}}_{{s}} \left\{{y}''\left({t}\right)\right\}+\frac{\mathrm{g}}{\ell}\boldsymbol{\mathcal{L}}_{{s}} \left\{\mathrm{sin}\left({y}\left({t}\right)\right)\right\}=\mathrm{0} \\ $$$$\int_{\mathrm{0}} ^{\:\infty} {y}''\left({t}\right){e}^{−{st}} \mathrm{d}{t}+\frac{\mathrm{g}}{\ell}\int_{\mathrm{0}} ^{\:\infty} \:\mathrm{sin}\left({y}\left({t}\right)\right){e}^{−{st}} \mathrm{d}{t}=\mathrm{0} \\ $$$$\int_{\mathrm{0}} ^{\:\infty}…

1-y-tgx-ctgx-y-2-y-1-x-2-arctgx-y-3-y-cos-4-x-y-4-x-2t-y-3t-2-5t-x-y-

Question Number 201764 by hardmath last updated on 11/Dec/23 $$\mathrm{1}.\:\mathrm{y}\:=\:\mathrm{tgx}\:−\:\mathrm{ctgx}\:\:\rightarrow\:\:\mathrm{y}^{'} \:=\:? \\ $$$$\mathrm{2}.\:\mathrm{y}\:=\:\left(\mathrm{1}\:+\:\mathrm{x}^{\mathrm{2}} \right)\:\mathrm{arctgx}\:\rightarrow\:\mathrm{y}^{'} \:=\:? \\ $$$$\mathrm{3}.\:\mathrm{y}\:=\:\mathrm{cos}^{\mathrm{4}} \:\mathrm{x}\:\rightarrow\:\mathrm{y}^{'} \:=\:? \\ $$$$\mathrm{4}.\:\begin{cases}{\mathrm{x}\:=\:\mathrm{2t}}\\{\mathrm{y}\:=\:\mathrm{3t}^{\mathrm{2}} \:−\:\mathrm{5t}}\end{cases}\:\:\:\rightarrow\:\:\:\mathrm{x}^{'} \:,\:\mathrm{y}^{'} \:=\:? \\…

cos-2-4x-sin-2-4x-0-25-for-equation-0-90-how-many-roots-are-there-in-the-piece-

Question Number 201728 by hardmath last updated on 11/Dec/23 $$\mathrm{cos}^{\mathrm{2}} \:\mathrm{4x}\:\centerdot\:\mathrm{sin}^{\mathrm{2}} \:\mathrm{4x}\:=\:\mathrm{0},\mathrm{25}\:\mathrm{for}\:\mathrm{equation} \\ $$$$\left[\mathrm{0};\mathrm{90}\right]\:\mathrm{how}\:\mathrm{many}\:\mathrm{roots}\:\mathrm{are}\:\mathrm{there}\:\mathrm{in}\:\mathrm{the} \\ $$$$\mathrm{piece}? \\ $$ Answered by esmaeil last updated on 11/Dec/23…