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11
votes
1
answer
101k
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1
answer
Find Fourier Series for f(x) = |sinx| in $(-\pi, \pi)$
engineering mathematics updated 4.2 years ago by esparzavicto902 • 20
3
votes
1
answer
8.3k
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1
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Based on the following data, can you say that there is no relation between smoking and literacy.
engineering mathematics updated 4.3 years ago by krithikkm200 • 10
5
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1
answer
33k
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1
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Find the characteristic equation of the matrix A given below and hence ,find the matrix represented by $A^8-5A^7+7A^6-3A^5+A^4-5A^3+8A^2-2A+I$
engineering mathematics updated 8.1 years ago by teamques10 ★ 70k
2
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1
answer
6.3k
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1
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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 4.3 years ago by teamques10 ★ 70k
4
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1
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29k
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1
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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 6.1 years ago by teamques10 ★ 70k
8
votes
1
answer
32k
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1
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Jacobians : If $ u = \frac{x+y}{1-xy} , \; v \; = \; tan^{-1}x \; + \; tan^{-1}y , \; Find \frac{\partial (u,v)}{\partial (x,y)} $
engineering mathematics updated 6.1 years ago by teamques10 ★ 70k
3
votes
1
answer
14k
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1
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Jacobians : If $ ux=yz , \; vz=yx , \; wz = xy \; , \; find \; J\Big( \frac{ u,v,w }{x,y,z} \Big) $
engineering mathematics updated 6.1 years ago by teamques10 ★ 70k
1
vote
1
answer
17k
views
1
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Find the length of one arc of the cycloid $x =a(\theta-\sin\theta)$ and $y=a(1+\cos\theta)$
engineering mathematics updated 4.3 years ago by krithikkm200 • 10
1
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1
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1.4k
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1
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Evaluate the $\int\limits_0^2x^2(2-x)^3dx$
engineering mathematics updated 4.3 years ago by krithikkm200 • 10
2
votes
1
answer
2.0k
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1
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Evaluate by using Laplace transformation $\int\limits_{0}^{\infty}e^{-3t}tcostdt$
engineering mathematics updated 6.6 years ago by teamques10 ★ 70k
5
votes
1
answer
26k
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1
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Solve the $[D^4-4D^3+8D^2-8D+4]y=0$
engineering mathematics updated 4.5 years ago by teamques10 ★ 70k
6
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1
answer
16k
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1
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Using R.K. method of 4th order solve $\dfrac {dy}{dx}=\dfrac {y^2-x^2}{y^2+x^2}$ given $y(0)=1 \space at \space x=0.2 , 0.4$
engineering mathematics updated 4.3 years ago by teamques10 ★ 70k
13
votes
1
answer
69k
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1
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Verify Green's theorem for $\oint(3x^2 - 8y^2)dx + (4y - 6xy)dy$ where c is boundary of the region defined by x = 0, y = 0 & x+ y = 1
engineering mathematics updated 3.2 years ago by bgmimobile425930 • 20
3
votes
1
answer
23k
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1
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Show that the function $v = e^x (xsiny + ycosy)$ satisfies Laplace equation. Find its corresponding analytic function & its harmonic conjugate.
engineering mathematics updated 6.1 years ago by teamques10 ★ 70k
2
votes
1
answer
20k
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1
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Solve by Crout's method the system of equations 2x+3y+z=-1 , 5x+y+z=9 , 3x+2y+4z=11
engineering mathematics updated 4.3 years ago by krithikkm200 • 10
19
votes
1
answer
16k
views
1
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Using De-Moivre's theorem, prove that $ \dfrac{sin6\theta}{sin2\theta} \;=\; 16cos^4\theta-16cos^2\theta+3$
engineering mathematics updated 4.3 years ago by krithikkm200 • 10
1
vote
1
answer
3.3k
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1
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State Cayley-Hamilton theorem & verify the same for $A=\begin{bmatrix}1&3\\2&2\end{bmatrix}$
engineering mathematics updated 6.1 years ago by teamques10 ★ 70k
3
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1
answer
49k
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1
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In a distribution exactly normal 7% of items are under 35 and 89% of the items are under 63. Find the probability that an item selected at random lies between 45 & 56.
engineering mathematics updated 3.5 years ago by phenjoisilab • 0
5
votes
1
answer
38k
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1
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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 9.9 years ago by teamques10 ★ 70k
8
votes
1
answer
58k
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1
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If $ u=f(x-y,y-z,z-x) , $ then show that $ \dfrac{\partial u}{\partial x} + \dfrac{\partial u}{\partial y} + \dfrac{\partial u}{\partial z} \;=\; 0 $
engineering mathematics updated 6.1 years ago by teamques10 ★ 70k
2
votes
1
answer
16k
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1
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The mean inside diameter of a sample of $200$ washers produced by a machine is $0.502$ cm and the standard deviation is $0.005$ cm.
engineering mathematics updated 9.9 years ago by teamques10 ★ 70k
1
vote
1
answer
2.1k
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1
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Fit a curve $y=ax+bx_2$ for the data:
engineering mathematics updated 6.1 years ago by teamques10 ★ 70k
2
votes
1
answer
13k
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1
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Find the eigen values and eigen vectors of matrix A = $\begin{bmatrix} 2 & 1 & 1 \\ 2 & 3 & 2 \\ 3 & 3 & 4 \end{bmatrix}$
engineering mathematics updated 4.3 years ago by phenjoisilab • 0
2
votes
1
answer
14k
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1
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Prove that $\overline{F} = (y^2 cosx + z^3)\overline{i} + (2y sinx - 4)\overline{j} + (3x z^2 + 2)\overline{k}$ is a conservative field. Also find the following.
engineering mathematics updated 4.3 years ago by krithikkm200 • 10
2
votes
1
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22k
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1
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A die was thrown 132 times and the following frequencies were observed, No. obtained: 1, 2, 3, 4, 5, 6. Frequencies: 15, 20, 25, 15, 29, 28. Total: 132 Test the Hypothesis that the die is unbiased.
engineering mathematics updated 4.3 years ago by krithikkm200 • 10
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