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Question Number 169808 Answers: 0 Comments: 0

If the Real component of an analytic function is given by log_e (x^2 +y^2 )^(1/2) , find the function. Mastermind

$I f t h e R e a l c o m p o n e n t o f a n a n a l y t i c$ $f u n c t i o n i s g i v e n b y {l o g}_{e} {(x^{2} + y^{2})}^{\frac{1}{2}},$ $f i n d t h e f u n c t i o n .$ $M a s t e r m i n d$

Question Number 169807 Answers: 0 Comments: 0

Given that U=x^4 −6x^2 y^2 +y^4 , find v and w such that w=u+iv is analytic Mastermind

$G i v e n t h a t U = x^{4} - 6 x^{2} y^{2} + y^{4}, f i n d$ $v a n d w s u c h t h a t w = u + i v i s a n a l y t i c$ $M a s t e r m i n d$

Question Number 169658 Answers: 1 Comments: 2

Question Number 169612 Answers: 1 Comments: 0

Differentiate w.r.t ′x′ x^y +y^x =c Mastermind

$D i f f e r e n t i a t e w . r . t^{'} x^{'}$ $x^{y} + y^{x} = c$ $M a s t e r m i n d$

Question Number 169447 Answers: 0 Comments: 0

The equation of the curve is given y=(x^3 /6)−((5x^2 )/2)−6x−1 1) Determine the critical points 2) Distinguish between these points 3) Determine the Maximum and minimum values 4) Determine the value of x and y at point of inflexion Mastermind

$T h e e q u a t i o n o f t h e c u r v e i s g i v e n$ $y = \frac{x^{3}}{6} - \frac{5 x^{2}}{2} - 6 x - 1$ $1) D e t e r m i n e t h e c r i t i c a l p o i n t s$ $2) D i s t i n g u i s h b e t w e e n t h e s e p o i n t s$ $3) D e t e r m i n e t h e M a x i m u m a n d$ $m i n i m u m v a l u e s$ $4) D e t e r m i n e t h e v a l u e o f x a n d y$ $a t p o i n t o f i n f l e x i o n$ $M a s t e r m i n d$

Question Number 169396 Answers: 0 Comments: 14

(√x)+1=0 find x Mastermind

$\sqrt{x} + 1 = 0$ $f i n d x$ $M a s t e r m i n d$

Question Number 169366 Answers: 0 Comments: 1

Differentiate from first principle y=log_x a Mastermind

$D i f f e r e n t i a t e f r o m f i r s t p r i n c i p l e$ $y = {l o g}_{x} a$ $M a s t e r m i n d$

Question Number 169364 Answers: 1 Comments: 0

Show that the differential equation y′′ −4y′+4y=0 is satisfied when y=xe^(2x) Mastermind

$S h o w t h a t t h e d i f f e r e n t i a l e q u a t i o n$ $y^{″} - 4 y^{'} + 4 y = 0 i s s a t i s f i e d w h e n$ $y = {x e}^{2 x}$ $M a s t e r m i n d$

Question Number 169362 Answers: 2 Comments: 0

∫tan(2x+3)dx Mastermind

$\int t a n (2 x + 3) d x$ $M a s t e r m i n d$

Question Number 169358 Answers: 1 Comments: 0

Differentiate from first principle y=(1/(x^2 +5))

$D i f f e r e n t i a t e f r o m f i r s t p r i n c i p l e$ $y = \frac{1}{x^{2} + 5}$

Question Number 169347 Answers: 4 Comments: 0

Differentiate wrt x y=sin^(−1) (2x+1) Mastermind

$D i f f e r e n t i a t e w r t x$ $y = {s i n}^{- 1} (2 x + 1)$ $M a s t e r m i n d$

Question Number 169346 Answers: 0 Comments: 0

Show that substituting y=vx, x+y(dy/dx)=x(dy/dx)−y to a separable equation for v and x and its solution is log_e (x^2 +y^2 )=2tan^(−1) ((y/x)) +C Mastermind

$S h o w t h a t s u b s t i t u t i n g y = v x,$ $x + y \frac{d y}{d x} = x \frac{d y}{d x} - y t o a s e p a r a b l e$ $e q u a t i o n f o r v a n d x a n d i t s$ $s o l u t i o n i s {l o g}_{e} (x^{2} + y^{2}) = 2 {t a n}^{- 1} (\frac{y}{x})$ $+ C$ $M a s t e r m i n d$