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Engineering Mathematics

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0
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Find the area of one loop of the temniscate $r^2= a^2 \cos^2\theta$
engineering mathematics updated 4.2 years ago by krithikkm200 • 10
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Evaluate $\int\limits_0^b\dfrac {dx}{x+1}$ using
engineering mathematics updated 4.2 years ago by krithikkm200 • 10
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Prove that $(1+\triangle)(1-\triangledown)=1$
engineering mathematics updated 4.2 years ago by krithikkm200 • 10
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Evaluate $\int\int\int\dfrac {dx\space dy\space dz}{x^2+y^2+z^2}$ throughout the volume of the sphere $x^2 + y^2 + z^2 =a^2$
engineering mathematics updated 4.2 years ago by krithikkm200 • 10
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Find the volume of the tetrahedron bounded by the co ordinate planes and the plane $\dfrac x2+\dfrac y3+\dfrac z4=1$
engineering mathematics updated 4.2 years ago by krithikkm200 • 10
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Show that $\triangledown =1-E^{-1}$
engineering mathematics updated 4.2 years ago by krithikkm200 • 10
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Evaluate $\int\limits_0^{\log 2}\int\limits_0^x \int\limits_0^{x+\log y} e^{x+y+z} dz\space dy\space dx$
engineering mathematics updated 4.2 years ago by krithikkm200 • 10
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Find the area common to the cardiode $r = a (1+\cos\theta)$ and $r = a (1-\cos\theta)$
engineering mathematics updated 4.2 years ago by krithikkm200 • 10
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Evaluate $\int\limits^1_{-1}\dfrac {dx}{1+x^2}$ by
engineering mathematics updated 4.2 years ago by krithikkm200 • 10
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Find the volume of tetrahedron bounded by plane $x=0, y=0, z=0 x + y + z=a$
engineering mathematics updated 4.2 years ago by krithikkm200 • 10
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If $ u=2xy \;, \; v=x^2-y^2 \; and \; x=rcos\theta \; and \; y=rsin\theta \; , \; then \; find \; \dfrac{\partial (u,v)}{ \partial(r, \theta) } $
engineering mathematics updated 4.2 years ago by phenjoisilab • 0
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Test for consistency and solve if consistent $x_1-2x_2+x_3-x_4=2 \; ; \; x_1+2x_2+2x_4=1 \; ; \; 4x_2-x_3+3x_4=-1$
engineering mathematics updated 4.2 years ago by phenjoisilab • 0
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Find the stationary values of $ x^3 + y^3 -3axy, \; a>0 $
engineering mathematics updated 4.2 years ago by krithikkm200 • 10
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Find the stationary values of $ sinx \cdot sin y \cdot sin(x+y)$
engineering mathematics updated 4.2 years ago by krithikkm200 • 10
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Evaluate $\oint[(x^2 + y^2)\hat{i} + (x^2 - y^2)\hat{j}]d\bar{r}$ using stoke's theorem where 'c' is the boundary of the region enclosed by circles $x^2 + y^2 = 4, x^2 + y^2 = 16$
engineering mathematics updated 4.2 years ago by krithikkm200 • 10
6
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Divide 24 into 3 parts such that the product of the first, square of second and cube of the third is maximum.
engineering mathematics updated 4.2 years ago by krithikkm200 • 10
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If $x=ucosv \;,\; y=usinv \; $ prove that $ \dfrac{\partial(x,y)}{\partial(u,v)} \cdot \dfrac{\partial(u,v)}{\partial(x,y)} \;=\; 1$
engineering mathematics updated 4.2 years ago by krithikkm200 • 10
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If $ ux+vy=0 \; and \; \dfrac{u}{x} + \dfrac{v}{y} \;=\; 1 $ Show the following:
engineering mathematics updated 4.2 years ago by krithikkm200 • 10
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If $ x=u+e^{-v}sinu \; , \; y=v+e^{-u} cosu \; \; Find \; \dfrac{\partial u}{\partial y} \; , \; \dfrac{\partial u}{\partial x} $
engineering mathematics updated 4.2 years ago by krithikkm200 • 10
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If $ x=uv, \; y=\dfrac{u}{v} \; , \; prove \; that \; J. J^{-1} \;=\; 1$
engineering mathematics updated 4.2 years ago by krithikkm200 • 10
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Solve by Crout's method the system of equations 2x+3y+z=-1 , 5x+y+z=9 , 3x+2y+4z=11
engineering mathematics updated 4.2 years ago by krithikkm200 • 10
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Solve correctly upto three iterations the following equations by Gauss-Siedal method : 10x-5y-2z=3 , 4x-10y+3z=-3 , x+6y+10z=-3
engineering mathematics updated 4.2 years ago by krithikkm200 • 10
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Using Gauss-Siedal iteration method, solve: $10x_1+x_2+x_3=12 \;,\; 2x_1+10x_2+x_3=13 \;,\; 2x_1+2x_2+10x_3=14, $ upto three iterations.
engineering mathematics updated 4.2 years ago by krithikkm200 • 10
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Solve the following equations by Gauss-Siedel Method: 27x+6y-z=85, 6x+15y+2z=72, x+y+54z=110
engineering mathematics updated 4.2 years ago by krithikkm200 • 10
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Solve by Crout's method the following system of equations: 3x+2y+7z=4, 2x+3y+z=5, 3x+4y+z=7
engineering mathematics updated 4.2 years ago by krithikkm200 • 10
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