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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 2.1 years ago by prajapatijaimin • 3.1k
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Find the bilinear transformation which maps the points 2, I, -2 into points 1, I, -1 by using cross ratio property.
engineering mathematics updated 2.3 years ago by pedsangini276 • 4.8k
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A certain drug administered to 12 patients resulted in the following change pressure.5, 2,8, -1,3, 0,6, -2 ,1, 5, 0 ,4. Can we conclude that the drug increases the blood pressure.
engineering mathematics updated 4.1 years ago by teamques10 ★ 65k
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Verify Laplace equation for $u = (r + \frac{a^2}{r}) cos \theta.$ Also find u and f(z).
engineering mathematics updated 2.3 years ago by pedsangini276 • 4.8k
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Evaluate the integral $\int_0^{1+i}(x - y + ix^2)dz$, along the line from z = 0 to z = 1 + i.
engineering mathematics updated 4.1 years ago by teamques10 ★ 65k
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Show that the set V of positive real numbers with operations Addition: $x + y = xy$ Scalar Multiplication: $kx = x^k$ is a vector space where x, y are any two real numbers and k is any scalar.
engineering mathematics updated 2.4 years ago by teamques10 ★ 65k
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Find moment generating function of Binomial distribution & hence find mean and variance.
engineering mathematics updated 2.5 years ago by teamques10 ★ 65k
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Verify Cayley Hamilton theorem for the matrix A and hence ,find $A^{-1}$ & $A^4$ ,where $A = \begin{bmatrix} \ 1 & 2 & -2 \\ \ -1 & 3 & 0 \\ \ 0 & -2 & 1 \\ \end{bmatrix}$
engineering mathematics updated 2.5 years ago by teamques10 ★ 65k
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In an examination marks obtained by students in maths ,physics and chemistry are normally distributed with mean 51,53,46 and with standard deviation 15,12,16 respctively find the probability of
engineering mathematics updated 4.1 years ago by teamques10 ★ 65k
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Calculate the coefficient of correlation between x & y from the following data.
engineering mathematics updated 4.1 years ago by prashantsaini • 0
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Ten individuals are chosen at random from a population and their heights are found to be $63, 63, 64, 65, 66, 69, 69, 70, 70, 71$ inches.
engineering mathematics updated 7.9 years ago by teamques10 ★ 65k
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\[ if\ ux+vy=a,\frac{u}{x}+\frac{v}{y}=1,\ show\ that \ \frac{u}{x} \left(\frac{\partial x}{\partial u}\right)_v+\frac{v}{y} \left(\frac{\partial y}{\partial v}\right)_u=0 \]
engineering mathematics updated 3.0 years ago by teamques10 ★ 65k
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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 2.3 years ago by teamques10 ★ 65k
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Show that the matrix A = $\begin{bmatrix} -9&4&4 \\ -8&3&4 \\ -16&8&7 \end{bmatrix}$ is diagonalizable. Find the diagonal matrix & the Transforming matrix.
engineering mathematics updated 2.3 years ago by teamques10 ★ 65k
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Evaluate $\int_{4}^{5.2}log_ex\,dx$ by using (i)Trapezoidal rule (ii) Simpson's 1/3 rule (iii) Simpson's 3/8 rule .
engineering mathematics updated 2.3 years ago by teamques10 ★ 65k
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Verify parseval's theorem for sequence $x(n)=\left(\frac{1}{2}\right)^{n} u(n)$. Assume N=4.
engineering mathematics updated 4.7 years ago by teamques10 ★ 65k
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Determine the values of $\lambda $ so that the equations $x+y+z=1 \; ; \; x+2y+4z=\lambda \; ; \; x+4y+10z=\lambda^2$ have solution and solve them completely in each case.
engineering mathematics updated 4.1 years ago by teamques10 ★ 65k
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If $v = e^x siny$, Prove that v is a harmonic function. Also find the corresponding harmonic conjugate function and analytic function.
engineering mathematics updated 4.1 years ago by teamques10 ★ 65k
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Find the analytic function $f(z) = u + iv$ where $u = r^2 cos2\theta - rcos\theta + 2$
engineering mathematics updated 4.1 years ago by teamques10 ★ 65k
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Evaluate $\iint_R y\,dxdy$ where 'R' is the region bounded by $y^2=4x$ & $x^2=4y$
engineering mathematics updated 4.1 years ago by teamques10 ★ 65k
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Euler Theorem : If $ x+y=2e^{\theta} cos\phi \;, \; \; x - y \;=\; 2ie^{\theta} sin\phi \; \;$and u is a function of $x$ and $y$
engineering mathematics updated 4.1 years ago by teamques10 ★ 65k
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Jacobians : If $ x=e^v sec \; u \; , \; y=e^v tan \; u, Find \; J\bigg ( \frac{u,v}{x,y} \bigg) $
engineering mathematics updated 4.1 years ago by teamques10 ★ 65k
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Prove that $\int\limits_0^{\dfrac {\pi} 2} \tan^n x dx=\dfrac {\pi}2\sec\Bigg(\dfrac {n\pi}2\Bigg)$
engineering mathematics updated 2.3 years ago by teamques10 ★ 65k
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Find Fourier Series for f(x) = |sinx| in $(-\pi, \pi)$
engineering mathematics updated 2.2 years ago by abhi78582 • 20
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Solve $(D^2+a^2)y=sec(ax)$ by the method of variation of parameters.
engineering mathematics updated 6.1 years ago by teamques10 ★ 65k
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