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Engineering Mathematics

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A die is tossed thrice. A success is 'getting 1 or 6' on a toss. Find the mean and the variance of the number of successes.
engineering mathematics updated 3.6 years ago by prajapatijaimin • 3.3k
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Find the length of the cardiode $r=a(1-\cos\theta)$ lying outside the circle $r=a \cos\theta$
engineering mathematics updated 3.6 years ago by sagarkolekar ★ 11k
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Find the mass of the lamina bounded by the curve $ay^2=x^3$ and the line $by = x$ if the density at a point varies as the distance of the point from the x-axis.
engineering mathematics updated 3.6 years ago by sagarkolekar ★ 11k
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Soil temperature (X) and germination interval (Y) for winter wheat in 12 places are as follows :
engineering mathematics updated 3.6 years ago by sagarkolekar ★ 11k
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$A$ can hit a target 4 times in 5 shots; $B$ 3 times 4 shots; $C$ twice in 3 shots. They fire a volley. What is the probability that at least two shots hit ?
engineering mathematics updated 3.6 years ago by prajapatijaimin • 3.3k
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If $\alpha$, $\beta$ are the roots of the equation $( x^2-2\sqrt{3}x+4=0 )$ find the value of $\alpha^3+\beta^3$
engineering mathematics updated 3.6 years ago by teamques10 ★ 70k
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Using simplex method solve the following L.P.P
engineering mathematics updated 3.6 years ago by prajapatijaimin • 3.3k
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If $log\ tan x=y$ then prove that $sinh(n+1)y+sinh(n-1)y=2 sinh\ ny . cosec2x$
engineering mathematics updated 3.6 years ago by yashbeer ★ 11k
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If $x=r sin \theta cos \varphi$, $y=r sin\theta\varphi$, $ z=r cos\theta$, then find $[ \dfrac {\partial (r, \theta , \varphi)}{\partial (x,y,z) } ]$
engineering mathematics updated 3.6 years ago by yashbeer ★ 11k
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Obtain the Fourier series to represent $f(x)=\left(\frac{\pi-x}{2}\right)^{2}, 0<x<2 \pi$. (use Euler's formula)
engineering mathematics updated 3.6 years ago by prajapatijaimin • 3.3k
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Prove that ,$\log \left(1+\mathrm{re}^{i\theta}\right)=\frac{1}{2} \log \left(t+2 r \cos \theta+r^{2}\right)+i \tan ^{-1} \frac{r \sin \theta}{1+r \cos \theta}$
engineering mathematics updated 3.6 years ago by prajapatijaimin • 3.3k
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Show that the points (8,1)(3, -4) and (2, -5) are collinear using determinant.
engineering mathematics updated 3.6 years ago by pedsangini276 • 4.8k
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If tan (x+iy) = a+ib prove that ( anh 2y=dfrac{2b}{1+a^2+b^2} )
engineering mathematics updated 3.6 years ago by pedsangini276 • 4.8k
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Chapter 3. Matrix
engineering mathematics updated 3.6 years ago by pedsangini276 • 4.8k
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find the mean and variance of x.
engineering mathematics updated 3.6 years ago by pedsangini276 • 4.8k
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Check whether the following matrix is derogatory or non-derogatory.
engineering mathematics updated 3.6 years ago by pedsangini276 • 4.8k
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Use the dual simplex method to save the following LPP:
engineering mathematics updated 3.6 years ago by pedsangini276 • 4.8k
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Justify if there is any relationship between sex and color for the following data:
engineering mathematics updated 3.6 years ago by pedsangini276 • 4.8k
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Find K, mean and variance.
engineering mathematics updated 3.6 years ago by pedsangini276 • 4.8k
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Find the mean and variance of the normal distribution.
engineering mathematics updated 3.6 years ago by pedsangini276 • 4.8k
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Using Kuhn-Tucker condition, solve the following NLPP.
engineering mathematics updated 3.6 years ago by pedsangini276 • 4.8k
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Fit a straight line for the following data | x | 1 | 2 | 3 | 4 | 5 | 6 || y | 49 | 54 | 60 | 73 | 80 | 86 |
engineering mathematics updated 3.6 years ago by pedsangini276 • 4.8k
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Find the modulus and amplitude of $\frac{1+3 \sqrt{3} \mathrm{i}}{\sqrt{3}+2 \mathrm{i}}$.
engineering mathematics updated 3.6 years ago by prajapatijaimin • 3.3k
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Find all the values of $\left(\frac{1}{2}+i \frac{\sqrt{3}}{2}\right)^{3 / 4}$ , and also prove that the product of the four values is 1 .
engineering mathematics updated 3.6 years ago by prajapatijaimin • 3.3k
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De Moivre's formula using prove that,
engineering mathematics updated 3.6 years ago by prajapatijaimin • 3.3k
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