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Author: Tinku Tara

Question-9298

Question Number 9298 by tawakalitu last updated on 29/Nov/16 Answered by mrW last updated on 29/Nov/16 $$\mathrm{radius}\:\mathrm{r}=\left(\mathrm{7}+\mathrm{3}\right)/\mathrm{2}=\mathrm{5}\:\mathrm{cm} \\ $$$$\mathrm{height}\:\mathrm{of}\:\mathrm{segment}\:\mathrm{h}=\mathrm{3}\:\mathrm{cm} \\ $$$$\mathrm{area}\:\mathrm{of}\:\mathrm{segment}\:=\:\mathrm{r}^{\mathrm{2}} \mathrm{cos}\:^{−\mathrm{1}} \left(\frac{\mathrm{r}−\mathrm{h}}{\mathrm{r}}\right)−\left(\mathrm{r}−\mathrm{h}\right)\sqrt{\mathrm{2rh}−\mathrm{h}^{\mathrm{2}} } \\…

Question-140367

Question Number 140367 by aliibrahim1 last updated on 06/May/21 Answered by meetbhavsar25 last updated on 06/May/21 $${Answer}\:{is}\:\frac{\mathrm{9}}{\mathrm{25}}. \\ $$$${x}^{\mathrm{2}} \:{has}\:{minimum}\:{value}\:\mathrm{0}. \\ $$$${y}^{\mathrm{2}} \:{has}\:{minimum}\:{value}\:\mathrm{0}. \\ $$$$\left({z}−\mathrm{1}\right)^{\mathrm{2}}…

My-friends-can-you-help-me-f-x-y-x-3-y-7-4e-x-y-Find-a-2-f-x-y-b-2-f-2-y-x-Please-

Question Number 140363 by cesarL last updated on 06/May/21 $${My}\:{friends}\:{can}\:{you}\:{help}\:{me}? \\ $$$${f}\left({x},{y}\right)={x}^{\mathrm{3}} {y}^{\mathrm{7}} −\mathrm{4}{e}^{{x}−{y}} \\ $$$${Find}: \\ $$$$\left.{a}\right)\:\frac{\partial^{\mathrm{2}} {f}}{\partial{x}\partial{y}}=? \\ $$$$\left.{b}\right)\:\frac{\partial^{\mathrm{2}} {f}^{\mathrm{2}} }{\partial{y}\partial{x}}=? \\ $$$${Please}…

find-the-determinant-of-the-matrix-below-determinant-0-4-0-0-0-0-0-0-2-0-0-0-3-0-0-0-0-0-0-1-5-0-0-0-0-

Question Number 9287 by suci last updated on 28/Nov/16 $${find}\:{the}\:{determinant}\:{of}\:{the}\:{matrix}\:{below} \\ $$$$\begin{vmatrix}{\mathrm{0}}&{\mathrm{4}}&{\mathrm{0}}&{\mathrm{0}}&{\mathrm{0}}\\{\mathrm{0}}&{\mathrm{0}}&{\mathrm{0}}&{\mathrm{2}}&{\mathrm{0}}\\{\mathrm{0}}&{\mathrm{0}}&{\mathrm{3}}&{\mathrm{0}}&{\mathrm{0}}\\{\mathrm{0}}&{\mathrm{0}}&{\mathrm{0}}&{\mathrm{0}}&{\mathrm{1}}\\{\mathrm{5}}&{\mathrm{0}}&{\mathrm{0}}&{\mathrm{0}}&{\mathrm{0}}\end{vmatrix} \\ $$ Answered by mrW last updated on 28/Nov/16 $$=−\mathrm{4}×\begin{vmatrix}{\mathrm{0}}&{\mathrm{0}}&{\mathrm{2}}&{\mathrm{0}}\\{\mathrm{0}}&{\mathrm{3}}&{\mathrm{0}}&{\mathrm{0}}\\{\mathrm{0}}&{\mathrm{0}}&{\mathrm{0}}&{\mathrm{1}}\\{\mathrm{5}}&{\mathrm{0}}&{\mathrm{0}}&{\mathrm{0}}\end{vmatrix} \\ $$$$=−\mathrm{4}×\mathrm{2}×\begin{vmatrix}{\mathrm{0}}&{\mathrm{3}}&{\mathrm{0}}\\{\mathrm{0}}&{\mathrm{0}}&{\mathrm{1}}\\{\mathrm{5}}&{\mathrm{0}}&{\mathrm{0}}\end{vmatrix} \\…

find-the-determinant-of-the-matrix-below-determinant-0-0-0-0-1-0-0-0-2-0-0-0-3-0-0-0-4-0-0-0-5-0-0-0-0-

Question Number 9286 by suci last updated on 28/Nov/16 $${find}\:{the}\:{determinant}\:{of}\:{the}\:{matrix}\:{below} \\ $$$$\begin{vmatrix}{\mathrm{0}}&{\mathrm{0}}&{\mathrm{0}}&{\mathrm{0}}&{\mathrm{1}}\\{\mathrm{0}}&{\mathrm{0}}&{\mathrm{0}}&{\mathrm{2}}&{\mathrm{0}}\\{\mathrm{0}}&{\mathrm{0}}&{\mathrm{3}}&{\mathrm{0}}&{\mathrm{0}}\\{\mathrm{0}}&{\mathrm{4}}&{\mathrm{0}}&{\mathrm{0}}&{\mathrm{0}}\\{\mathrm{5}}&{\mathrm{0}}&{\mathrm{0}}&{\mathrm{0}}&{\mathrm{0}}\end{vmatrix} \\ $$ Answered by mrW last updated on 28/Nov/16 $$=\mathrm{5}×\begin{vmatrix}{\mathrm{0}}&{\mathrm{0}}&{\mathrm{0}}&{\mathrm{1}}\\{\mathrm{0}}&{\mathrm{0}}&{\mathrm{2}}&{\mathrm{0}}\\{\mathrm{0}}&{\mathrm{3}}&{\mathrm{0}}&{\mathrm{0}}\\{\mathrm{4}}&{\mathrm{0}}&{\mathrm{0}}&{\mathrm{0}}\end{vmatrix} \\ $$$$=\mathrm{5}×\left(−\mathrm{4}\right)×\begin{vmatrix}{\mathrm{0}}&{\mathrm{0}}&{\mathrm{1}}\\{\mathrm{0}}&{\mathrm{2}}&{\mathrm{0}}\\{\mathrm{3}}&{\mathrm{0}}&{\mathrm{0}}\end{vmatrix} \\…

find-the-determinant-of-the-matrix-below-1-4-3-1-2-0-6-3-4-1-2-5-1-0-2-4-

Question Number 9285 by suci last updated on 28/Nov/16 $${find}\:{the}\:{determinant}\:{of}\:{the}\:{matrix}\:{below} \\ $$$$\begin{bmatrix}{\mathrm{1}}&{\mathrm{4}}&{−\mathrm{3}}&{\mathrm{1}}\\{\mathrm{2}}&{\mathrm{0}}&{\mathrm{6}}&{\mathrm{3}}\\{\mathrm{4}}&{−\mathrm{1}}&{\mathrm{2}}&{\mathrm{5}}\\{\mathrm{1}}&{\mathrm{0}}&{−\mathrm{2}}&{\mathrm{4}}\end{bmatrix} \\ $$ Answered by mrW last updated on 28/Nov/16 $$\mid\mathrm{A}\mid=\begin{vmatrix}{\mathrm{1}}&{\mathrm{4}}&{−\mathrm{3}}&{\mathrm{1}}\\{\mathrm{2}}&{\mathrm{0}}&{\mathrm{6}}&{\mathrm{3}}\\{\mathrm{4}}&{−\mathrm{1}}&{\mathrm{2}}&{\mathrm{5}}\\{\mathrm{1}}&{\mathrm{0}}&{−\mathrm{2}}&{\mathrm{4}}\end{vmatrix} \\ $$$$\mathrm{R4}−\mathrm{R1}\:\mathrm{and}\:\mathrm{R3}−\mathrm{R2}×\mathrm{2}: \\…

Question-74821

Question Number 74821 by sridhar nayak last updated on 01/Dec/19 Answered by mind is power last updated on 01/Dec/19 $$\Leftrightarrow\left(\mathrm{6e}^{\mathrm{y}} −\mathrm{2x}\right)\mathrm{dy}−\mathrm{dx}=\mathrm{0}…\mathrm{E} \\ $$$$\mathrm{try}\:\mathrm{too}\:\mathrm{find}\:\mathrm{k}\left(\mathrm{y}\right)\:\mathrm{To}\:\mathrm{mak}\:\mathrm{it}\:\mathrm{exacte} \\ $$$$\Leftrightarrow\mathrm{k}\left(\mathrm{y}\right)\left(\mathrm{6e}^{\mathrm{y}}…