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Engineering Mathematics

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1] Closure Axiom. 2] Associative prop. 3] Identity element property. 4] Inverse element property.
engineering mathematics updated 2.2 years ago by pedsangini276 • 4.8k
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$ \text { Find the Fourier series of }f(x)=x \text { in the interval }(0,2 \pi) \text {. } $
engineering mathematics updated 2.2 years ago by prajapatijaimin • 3.1k
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Test whether the following function is one to one, onto or both.
engineering mathematics updated 2.2 years ago by teamques10 ★ 66k
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Evaluate the integral
engineering mathematics updated 2.2 years ago by RakeshBhuse • 3.2k
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Find the M.G.F. of Poisson Distribution.
engineering mathematics updated 2.2 years ago by RakeshBhuse • 3.2k
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A random sample of size 16 from a normal population showed a mean of 103.75 cm and sum of squares of the deviations from the mean 843.75 cm^{2}. Can we say that the population has a mean of 108.75?
engineering mathematics updated 2.2 years ago by RakeshBhuse • 3.2k
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Evaluate the integral
engineering mathematics updated 2.2 years ago by RakeshBhuse • 3.2k
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${ show \ that } (\mathrm{ AB})^{-1}=\mathrm{C}^{-1} \mathrm{~A}^{-1}$
engineering mathematics updated 2.2 years ago by pj8365784 • 10
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If the coefficient of variation of certain data is 5 and mean is 60.Find the standard deviation.
engineering mathematics updated 2.2 years ago by RakeshBhuse • 3.2k
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The two sets of observations are given below:
engineering mathematics updated 2.2 years ago by RakeshBhuse • 3.2k
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Reduce the matrix of the quadratic form $6x_{1}^2 + 3x_{2}^2 + 14x_{3}^2 + 4x_{1}x_{2} + 18x_{1}x{3} + 4x_{2}x_{3}$ to canonical form by congruent transformation and find rank, signature, value class.
engineering mathematics updated 2.2 years ago by saishvilankar793 • 30
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Explain Bernoulli's principle equation for adiabatic process.
engineering mathematics updated 2.3 years ago by prajapatijaimin • 3.1k
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Evaluate $\int _{c}\frac {Z+6}{z^2-4}dz$ ,
engineering mathematics updated 2.3 years ago by Krishna_Agrawal • 2.7k
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Oblain Fourier series for the function $f(x)=\pi x, \quad 0 \leq x \leq 1$ $=\pi(2-x), \quad 1 \leq x \leq 2 .$
engineering mathematics updated 2.3 years ago by prajapatijaimin • 3.1k
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$$ u=x^{3}+3 x^{2} y+3 x y^{2}+y^{3} \text {, prove that } x \frac{\partial u}{\partial x}+y \frac{\partial u}{\partial y}=3 u \text {. } $$
engineering mathematics updated 2.3 years ago by prajapatijaimin • 3.1k
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Find (i) k (ii) mean (iii) variance for the p.d.f
engineering mathematics updated 2.3 years ago by RakeshBhuse • 3.2k
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$$ Show\ that,\ (1+i)^{\mathrm{n}}+(1-i)^{\mathrm{n}}=2^{\frac{\mathrm{n}+2}{2}} \cos \frac{\mathrm{n} \pi}{4} \text {. } $$
engineering mathematics updated 2.3 years ago by prajapatijaimin • 3.1k
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$$ \sin x+\sin y=a \text { and } \cos x+\cos y=b \text {. Prove that } \tan ^{2}\left(\frac{x-y}{2}\right)=\frac{4-a^{2}-b^{2}}{a^{2}+b^{2}} \text {. } $$
engineering mathematics updated 2.3 years ago by prajapatijaimin • 3.1k
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Find a Fourier series to represent $x-x^{2}$ from $x=-\pi$ to $x=\pi$. Hence show that, $$ \frac{1}{1^{2}}-\frac{1}{2^{2}}+\frac{1}{3^{2}}-\frac{1}{4^{2}}+\ldots \ldots=\frac{\pi^{2}}{12} . $$
engineering mathematics updated 2.3 years ago by prajapatijaimin • 3.1k
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500 articles from a factory are examined and found to be $2 \%$ defective. 800 similar articles from a second factory are found to have only $1.5 \%$ defective. Can it reasonably be concluded that the
engineering mathematics updated 2.3 years ago by prajapatijaimin • 3.1k
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Separatic into real and imaginary parts of sin-1 (eio).
engineering mathematics updated 2.3 years ago by pedsangini276 • 4.8k
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Solve the following equations by matrix inversion method : x + y + z = 6, 3x - y + 3z = 10 , 5x + 5y -4z = 3
engineering mathematics updated 2.3 years ago by pedsangini276 • 4.8k
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Evaluate the following : $log_{3}81$
engineering mathematics updated 2.3 years ago by pedsangini276 • 4.8k
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Resolve into partial fractions $\frac{x^{4}}{x^{3}+1}$
engineering mathematics updated 2.3 years ago by pedsangini276 • 4.8k
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prove that $(\tan ^{-1}(1)+\tan ^{-1}(2)+\tan ^{-1}(3)=\pi$
engineering mathematics updated 2.3 years ago by pedsangini276 • 4.8k
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