Category: Vector

Question Number 125662 by physicstutes last updated on 12/Dec/20 $$\mathcal{I}=\underset{0}{\stackrel{4}{\int }}{\tanh }^{-1}2xdx=???$$ Answered by mathmax by abdo last updated on 12/Dec/20 $$\mathrm{th}\left(\mathrm{x}\right)=\mathrm{y}\:\Rightarrow\mathrm{y}=\frac{\mathrm{sh}\left(\mathrm{x}\right)}{\mathrm{ch}\left(\mathrm{x}\right)}=\frac{\mathrm{e}^{\mathrm{x}}…

Question Number 190283 by mnjuly1970 last updated on 31/Mar/23 $$$$$$calculate$$$$$$$$laplacetransform$$$$\mathcal{L}\left\{\frac{e^{-\frac{1}{x}}}{\sqrt{x}}\right\}=?$$$$$$ Terms of…

Question Number 124131 by bramlexs22 last updated on 01/Dec/20 Answered by som(math1967) last updated on 01/Dec/20 $$\mathrm{Equation}\mathrm{of}\mathrm{plane}$$$$\left|\begin{array}{ccc}\mathrm{x}-1& \mathrm{y}-1& \mathrm{z}-1\\ 1-1& -1-1& 1-1\\ -7-1& 3-1& -5-1\end{array}\right|=0$$$$\left|\begin{array}{ccc}\mathrm{x}-1& \mathrm{y}-1& \mathrm{z}-1\\ 0& -2& 0\\ -8& 2& -6\end{array}\right|=0$$$$12(\mathrm{x}-1)-(\mathrm{y}-1)\times 0+(\mathrm{z}-1)\times (-16)=0$$$$\mathrm{12x}−\mathrm{16z}+\mathrm{4}=\mathrm{0}…

Question Number 123876 by john_santu last updated on 29/Nov/20 $$Findthedistancefromthe$$$$pointS(1,1,5)totheline$$$$L:\{\begin{array}{l}x=1+t\\ y=3-t\\ z=2t\end{array}.$$ Answered by mr W last updated on 29/Nov/20 $${Method}\:{I}…

Question Number 58090 by smiak8742 last updated on 17/Apr/19 $$(x^4-x^3-38x^2-31x+45)\mathbf{÷}(x+5)$$ Answered by Kunal12588 last updated on 17/Apr/19 $$625+125-950+155+45=0$$$${x}^{\mathrm{3}}…