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Advance question A phone mistakenly got locked with the pattern of 3 × 3 form, in how many attempts person can try before he can eventually get it right ? Thank you

$Advance question$ $A phone mistakenly got locked with the$ $pattern of 3 \times 3 form, in how many attempts$ $person can try before he can eventually get$ $it right ?$ $Thank you$

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∫(df/dx)×(dg/dx) ?

$\int \frac{df}{dx} \times \frac{dg}{dx} ?$

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Determine the continuity ortherwise of the following functions a) ((7x^2 +x−3)/((x−2)^2 )) b) x^2 −4x+1 c) f(x) = {_(1 , x=1) ^(((4−x^2 )/(3−(√(x^2 −5)))) , x≠2)

$Determine the continuity ortherwise of the$ $following functions$ $a) \frac{{7 x}^{2} + x - 3}{{(x - 2)}^{2}}$ $b) x^{2} - 4 x + 1$ $c) f (x) = {_{1, x = 1}^{\frac{4 - x^{2}}{3 - \sqrt{x^{2} - 5}}, x \neq 2}$

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((3x^2 −1)/x)+((5x)/(3x^2 −x−1))=((119)/(18))

$\frac{3 x^{2} - 1}{x} + \frac{5 x}{3 x^{2} - x - 1} = \frac{119}{18}$

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The furier series approximation to the forcing function is given by f(t)=5[1+(4/π)((/)((sin120πt)/1)+((sin360πt)/2)+((sin600πt)/3) +.........)] The transfer function for this problem T(s)=((X(s))/(f(s)))=(1/(ms^2 +cs+k)) =(1/(0.001s+1)) 1. plot the amplitude spectrum 2.Obtain the expression for steady displacement X(t)

$T h e f u r i e r s e r i e s a p p r o x i m a t i o n t o$ $t h e f o r c i n g f u n c t i o n i s g i v e n b y$ $f (t) = 5 [1 + \frac{4}{π} (\frac{}{} \frac{s i n 120 π t}{1} + \frac{s i n 360 π t}{2} + \frac{s i n 600 π t}{3}$ $+ . . . . . . . . .)]$ $T h e t r a n s f e r f u n c t i o n f o r t h i s$ $p r o b l e m T (s) = \frac{X (s)}{f (s)} = \frac{1}{{m s}^{2} + c s + k}$ $= \frac{1}{0.001 s + 1}$ $1 . p l o t t h e a m p l i t u d e s p e c t r u m$ $2 . O b t a i n t h e e x p r e s s i o n f o r s t e a d y$ $d i s p l a c e m e n t X (t)$

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Please suggest youtube playlist to prepare one for mathematics olympiad. Thanks in advance.

$P l e a s e s u g g e s t y o u t u b e p l a y l i s t t o$ $p r e p a r e o n e f o r m a t h e m a t i c s o l y m p i a d .$ $T h a n k s i n a d v a n c e .$

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