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Apply-the-rotation-of-coordinates-given-by-the-following-matrix-to-the-equation-xy-1-what-is-the-equation-in-th-uv-coordinate-system-u-v-cos45-sin45-sin45-co

Question Number 187335 by Humble last updated on 16/Feb/23 $${Apply}\:{the}\:{rotation}\:{of}\:{coordinates}\:{given} \\ $$$${by}\:{the}\:{following}\:{matrix}\:{to}\:{the}\:{equation}\: \\ $$$${xy}=\mathrm{1};\:{what}\:{is}\:{the}\:{equation}\:{in}\:{th}\:{uv}\:{coordinate}\: \\ $$$${system}? \\ $$$$\begin{bmatrix}{{u}}\\{{v}}\end{bmatrix}=\begin{bmatrix}{{cos}\mathrm{45}\:\:\:\:\:\:\:\:\:\:\:\:\:\:{sin}\mathrm{45}}\\{−{sin}\mathrm{45}\:\:\:\:\:\:\:\:\:\:{cos}\mathrm{45}}\end{bmatrix}\begin{bmatrix}{{x}}\\{{y}}\end{bmatrix} \\ $$ Answered by anurup last updated…

show-that-1-cos-1-cos-tan-2-1-2-

Question Number 187330 by Humble last updated on 16/Feb/23 $$ \\ $$$${show}\:{that}\:\frac{\mathrm{1}−{cos}\theta}{\mathrm{1}+{cos}\theta}={tan}^{\mathrm{2}} \left(\frac{\mathrm{1}}{\mathrm{2}}\theta\right)\:\:\: \\ $$ Answered by Frix last updated on 16/Feb/23 $$\mathrm{What}\:\mathrm{are}\:\mathrm{we}\:\mathrm{allowed}\:\mathrm{to}\:\mathrm{use}? \\ $$$$\mathrm{tan}^{\mathrm{2}}…

f-x-x-2-4-f-x-

Question Number 121781 by 676597498 last updated on 11/Nov/20 $$\mathrm{f}\left(\mathrm{x}\right)=\left(\Sigma\left(\mathrm{x}^{\mathrm{2}} \right)\right)^{\mathrm{4}} \\ $$$$\mathrm{f}\:'\left(\mathrm{x}\right)=…..?\: \\ $$ Terms of Service Privacy Policy Contact: info@tinkutara.com

Given-d-5t-4-2-dt-10g-t-Find-1-k-g-t-dt-in-terms-of-k-where-k-is-a-constant-

Question Number 121775 by ZiYangLee last updated on 11/Nov/20 $$\mathrm{Given}\:\frac{\mathrm{d}\left(\mathrm{5}{t}−\mathrm{4}\right)^{\mathrm{2}} }{\mathrm{d}{t}}=\mathrm{10g}\left({t}\right). \\ $$$$\mathrm{Find}\:\int_{\mathrm{1}} ^{{k}} \mathrm{g}\left({t}\right)\mathrm{d}{t}\:\mathrm{in}\:\mathrm{terms}\:\mathrm{of}\:{k},\:\mathrm{where}\:{k}\: \\ $$$$\mathrm{is}\:\mathrm{a}\:\mathrm{constant}. \\ $$ Answered by Dwaipayan Shikari last updated…

How-can-you-prove-not-geometrically-the-following-k-0-n-k-n-n-1-2-

Question Number 56229 by Hassen_Timol last updated on 12/Mar/19 $$\mathrm{How}\:\mathrm{can}\:\mathrm{you}\:\mathrm{prove}\:\left(\mathrm{not}\:\mathrm{geometrically}\right) \\ $$$$\mathrm{the}\:\mathrm{following}? \\ $$$$ \\ $$$$\:\:\:\:\:\:\:\:\:\:\:\:\underset{{k}\:=\:\mathrm{0}} {\overset{{n}} {\sum}}{k}\:\:=\:\:\frac{\:{n}\:\left(\:{n}\:+\:\mathrm{1}\:\right)\:}{\mathrm{2}} \\ $$$$ \\ $$ Commented by Kunal12588…

lim-x-0-x-2-tan-1-x-3-0-x-sin-t-2-dt-x-5-

Question Number 56202 by naka3546 last updated on 12/Mar/19 $$\underset{{x}\rightarrow\mathrm{0}} {\mathrm{lim}}\:\:\:\frac{{x}^{\mathrm{2}} \:\mathrm{tan}^{−\mathrm{1}} \left({x}\right)\:−\:\mathrm{3}\:\underset{\mathrm{0}} {\int}\:\overset{{x}} {\:}\:\mathrm{sin}\:\left({t}^{\mathrm{2}} \right)\:{dt}}{{x}^{\mathrm{5}} }\:\:=\:\:? \\ $$ Answered by tanmay.chaudhury50@gmail.com last updated on…