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Expand 2x3+7x2+x-6 in power of x-2
engineering mathematics updated 4.6 years ago by pg1118329 • 0
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if \( \tan \left ( \theta+i\phi \right )=\tan \alpha + i\sec \alpha \)/, Prove that i) \[e^{2\phi } = \cot \frac{\alpha }{2}\] ii) \[2\theta =n\pi +\frac{\pi }{2} + \alpha \]
engineering mathematics updated 4.6 years ago by pg1118329 • 0
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If ( z(x+y)=(x-y) ext{find}left ( dfrac{partial z}{partial x} -dfrac{partial z}{partial y}ight )^2 )
engineering mathematics updated 4.6 years ago by pg1118329 • 0
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Discuss the maxima and minima of \[f\left ( x,y \right )= x^3y^2\left ( 1-x-y \right )\]
engineering mathematics updated 4.6 years ago by pg1118329 • 0
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If ( u=r^2cos 2 heta, v=r^2sin 2 heta ext {find}dfrac{partial (u,v)}{partial (r, heta)} )
engineering mathematics updated 4.6 years ago by pg1118329 • 0
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Prove that ( sec^2x=1+x^2+dfrac{2x^4}{3}+cdots )
engineering mathematics updated 4.6 years ago by pg1118329 • 0
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Find nth derivatives of (dfrac{x}{(x-1)(x-2)(x-3)} )
engineering mathematics updated 4.6 years ago by pg1118329 • 0
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If y=xcosu Find the value of x2uxx+2xy uxy + y2uyy
engineering mathematics updated 4.6 years ago by pg1118329 • 0
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Discuss the stationary points for Maxima and Minima of x3 + xy2 - 12x2 - 2y2 + 21x + 10
engineering mathematics updated 4.6 years ago by pg1118329 • 0
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Find the value of a and b [ ext{if}lim_{xightarrow 0}dfrac{x(1+acos x)-bsin x}{x^3}=1]
engineering mathematics updated 4.6 years ago by pg1118329 • 0
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Show that ( logleft [ e^{ialpha}+e^{ieta} ight ]=logleft [ 2cosleft ( dfrac{alpha -eta }{2} ight ) ight ]+ileft ( dfrac{alpha +eta }{2} ight ) )
engineering mathematics updated 4.6 years ago by pg1118329 • 0
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Separate into real and imaginary parts of Log (3+4i)
engineering mathematics updated 4.6 years ago by pg1118329 • 0
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if y = ex cos2x cosx find yn
engineering mathematics updated 4.6 years ago by pg1118329 • 0
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Fit a straight line to the following data : | Year x: | 1951 | 1961 | 1971 | 1981 | 1991 || Production y: | 10 | 12 | 8 | 10 | 15 |
engineering mathematics updated 4.6 years ago by pg1118329 • 0
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Fit a second degree parabolic curve to the following data : | x : | 1 | 2 | 3 | 4 | 5 | 6 | 7 | 8 | 9 || y : | 2 | 6 | 7 | 8 | 10 | 11 | 11 | 10 | 9 |
engineering mathematics updated 4.6 years ago by pg1118329 • 0
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If z=log (tan x+tan y) then prove that \[ \sin 2x \dfrac {\partial z}{\partial x} + \sin 2y \dfrac {\partial z}{\partial y} = 2 \]
engineering mathematics updated 4.6 years ago by pg1118329 • 0
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Discuss the maximum and minimum of f(x,y)=x3+3xy2-15(x2+y2)+72x
engineering mathematics updated 4.6 years ago by pg1118329 • 0
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Find the values of a,b & c such that \[ \lim_{x\to 0} \dfrac {a e^x - be^{-x}+cx}{x-\sin x}=4 \]
engineering mathematics updated 4.6 years ago by pg1118329 • 0
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Fit a straight line passing through points (0,1), (1,2), (2,3), (3,4,5), (4,6), (5,7,5).
engineering mathematics updated 4.6 years ago by pg1118329 • 0
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\[ If \ \tan \dfrac {x}{2} = \tan h \ \dfrac {u}{2} \ then \ S.T. \\ u=\log \tan \left ( \dfrac {\pi}{4} + \dfrac {x}{2} \right ) \]
engineering mathematics updated 4.6 years ago by pg1118329 • 0
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\[ If \ u = x^y \ find \ \dfrac {\partial^3 u}{\partial x \partial y \partial x} \]
engineering mathematics updated 4.6 years ago by pg1118329 • 0
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If ux=yz,vy=zx, wz=xy find \[ j \left [ \dfrac {u,v,w}{x,y,z} \right ] \]
engineering mathematics updated 4.6 years ago by pg1118329 • 0
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\[ If y = (x-1)^n \ then \ P.T. \ y+ \dfrac {y_1}{1!} + \dfrac{y_2}{2!}+ \dfrac {y_3}{3!}+ \cdots \ \cdots \dfrac {y_n}{n!}= x^n \]
engineering mathematics updated 4.6 years ago by pg1118329 • 0
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Express the matrix A as sum of Hermition and skew Hermition matrix where \[ \begin{bmatrix}3i &-1+i &3-2i \\1+i &-i &1+2i \\-3-2i &-1+2i &0\end{bmatrix} \]
engineering mathematics updated 4.6 years ago by pg1118329 • 0
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Find the maximum and minimum values of x3+3xy2-3x2-3y2+4
engineering mathematics updated 4.6 years ago by pg1118329 • 0
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