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Using triple integration find the volume of the ellipsoid $\frac{x^2}{a^2}+\frac{y^2}{b^2}+\frac{z^2}{c^2}=1$ .
engineering mathematics updated 3.9 years ago by teamques10 ★ 70k
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Find the extremal of $ \int_{x_0}^{x_1} 16y^2-(y'')^2+x^2 ) \, dx $
engineering mathematics updated 3.9 years ago by teamques10 ★ 70k
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Solve by Rayleigh $-$ Ritz method the boundary value problem $ \int_{0}^{1}2xy-y^2-(y')^2 \, dx $ given y(0) = 0 , y(1) = 0
engineering mathematics updated 3.9 years ago by teamques10 ★ 70k
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Using Rayleigh $-$ Ritz method solve the boundary value problem $ \int_{0}^{1} xy+\frac{1}{2} (y')^2 \, dx, \,\,\, $ 0 $\leq$ x $\leq$ 1 ; given y(0) = 1 & y(1) = 0
engineering mathematics updated 3.9 years ago by teamques10 ★ 70k
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Verify Cauchy $-$ Schwarz inequality for the vectors u = (-4 , 2 , 1) and v = (8 , -4 , -2)
engineering mathematics updated 3.9 years ago by teamques10 ★ 70k
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Check for a vector space
engineering mathematics updated 3.9 years ago by teamques10 ★ 70k
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If x , y , z $\geq$ 0, Show that $ (x^2+y^2+z^2)^{\frac{1}{2}} \geq \frac{1}{13}(3x+4y+12z)$
engineering mathematics updated 3.9 years ago by teamques10 ★ 70k
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Find a vector orthogonal to both u = (-6 , 4 , 2) & v = (3 , 1 , 5)
engineering mathematics updated 3.9 years ago by teamques10 ★ 70k
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Check whether the following are subspaces of R$^3$
engineering mathematics updated 3.9 years ago by teamques10 ★ 70k
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Construct an orthonormal basis of R$^2$ by applying Gram $-$ schmidt orthogonalisation to S = {(3 , 1) , (4 ,2)}
engineering mathematics updated 3.9 years ago by teamques10 ★ 70k
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Construct an orthonormal basis of R$^3$ by applying Gram $-$ schmidt orthogonalisation to S = { (1,2 , 0) , (0 ,3 , 1) }
engineering mathematics updated 3.9 years ago by teamques10 ★ 70k
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Construct an orthonormal basis of R$^3$ by applying Gram $-$ schmidt orthogonalisation to S = { (3 , 0 , 4) , (-1 , 0 , 7) , (2 , 9 , 11) }
engineering mathematics updated 3.9 years ago by teamques10 ★ 70k
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The Probability density function of a random variable X is
engineering mathematics updated 3.9 years ago by teamques10 ★ 70k
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The daily consumption of electric power (in million kwh) is a random variable X with Probability distribution function
engineering mathematics updated 3.9 years ago by teamques10 ★ 70k
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If the mean of the following distribution is 16 find m , n & variance.
engineering mathematics updated 3.9 years ago by teamques10 ★ 70k
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Find Probability Distribution
engineering mathematics updated 3.9 years ago by teamques10 ★ 70k
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Find Probability of success
engineering mathematics updated 3.9 years ago by teamques10 ★ 70k
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The number of accidents in a year attributed to taxi drivers in a city follows Poisson distribution with mean 3 .
engineering mathematics updated 3.9 years ago by teamques10 ★ 70k
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What percentage of resistors will have resistance between 98 ohms & 102 ohms.
engineering mathematics updated 3.9 years ago by teamques10 ★ 70k
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In a distribution exactly normal 7% of items are under 35 & 89% of the items are under 63, find the probability that an item selected at random lies between 45 and 56
engineering mathematics updated 3.9 years ago by teamques10 ★ 70k
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In a competitive examination the top 15% of the students appeared will have grade A while the bottom 20% will be declared fail.
engineering mathematics updated 3.9 years ago by teamques10 ★ 70k
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The monthly salary x in a big organization is normally distributed with mean Rs. 3000 & Standard deviation Rs.250.
engineering mathematics updated 3.9 years ago by teamques10 ★ 70k
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Find the correlation coefficient between the height of father & height of son from the following data
engineering mathematics updated 3.9 years ago by teamques10 ★ 70k
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Obtain Spearman rank correlation coefficient from the following data.
engineering mathematics updated 3.9 years ago by teamques10 ★ 70k
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Obtain Spearman rank correlation coefficient from the following data.
engineering mathematics updated 3.9 years ago by teamques10 ★ 70k
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