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Engineering Mathematics

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A certain injection administered to 12 patients resulted in the following changes of blood pressure: 5, 2, 8, -1, 3, 0, 6, -2, 1, 5, 0, 4. Also check the following.
engineering mathematics updated 2 days ago by gsalunke581 • 10
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The pyramid defined by the coordinates A(0,0,0), B(1,0,0), C(0,1,0) and D(0,0,1) is rotated $45^o$ about the line L that has the direction V = J + K and passing through point C(0,1,0).
engineering mathematics updated 9 days ago by pedsangini276 • 4.2k
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Given the three points $P_{1}=(10,-8,3), P_{2}=(8,-4,3.2)$ and $P_{3}=(8,4,3.2),$ Derive the equation of the triangle defined by them.
engineering mathematics updated 12 days ago by pedsangini276 • 4.2k
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The voltage in an electric circuit are related by following equations : $V_{1}+V_{2}+V_{3}= 9;V_{1}-V_{2}+V_{3} = 1find V_{1},V_{2} and V_{3} by using cramer's rule.$
engineering mathematics updated 12 days ago by pedsangini276 • 4.2k
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1] Closure Axiom. 2] Associative prop. 3] Identity element property. 4] Inverse element property.
engineering mathematics updated 13 days ago by pedsangini276 • 4.2k
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$ \text { Find the Fourier series of }f(x)=x \text { in the interval }(0,2 \pi) \text {. } $
engineering mathematics updated 16 days ago by prajapatijaimin • 2.0k
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Test whether the following function is one to one, onto or both.
engineering mathematics updated 19 days ago by teamques10 ★ 24k
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Evaluate the integral
engineering mathematics updated 19 days ago by RakeshBhuse • 2.9k
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Find the M.G.F. of Poisson Distribution.
engineering mathematics updated 19 days ago by RakeshBhuse • 2.9k
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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 19 days ago by RakeshBhuse • 2.9k
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Evaluate the integral
engineering mathematics updated 19 days ago by RakeshBhuse • 2.9k
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${ show \ that } (\mathrm{ AB})^{-1}=\mathrm{C}^{-1} \mathrm{~A}^{-1}$
engineering mathematics updated 19 days 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 19 days ago by RakeshBhuse • 2.9k
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The two sets of observations are given below:
engineering mathematics updated 19 days ago by RakeshBhuse • 2.9k
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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 21 days ago by saishvilankar793 • 30
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Explain Bernoulli's principle equation for adiabatic process.
engineering mathematics updated 23 days ago by prajapatijaimin • 2.0k
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Evaluate $\int _{c}\frac {Z+6}{z^2-4}dz$ ,
engineering mathematics updated 26 days ago by Krishna_Agrawal • 2.2k
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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 28 days ago by prajapatijaimin • 2.0k
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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 28 days ago by prajapatijaimin • 2.0k
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Find (i) k (ii) mean (iii) variance for the p.d.f
engineering mathematics updated 29 days ago by RakeshBhuse • 2.9k
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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 4 weeks ago by prajapatijaimin • 2.0k
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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 4 weeks ago by prajapatijaimin • 2.0k
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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 4 weeks ago by prajapatijaimin • 2.0k
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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 4 weeks ago by prajapatijaimin • 2.0k
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Separatic into real and imaginary parts of sin-1 (eio).
engineering mathematics updated 4 weeks ago by pedsangini276 • 4.2k
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