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8
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1
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38k
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1
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Find the maximum and minimum values of : $x^3+3xy^2-3x^2-3y^2+4$
engineering mathematics updated 2.1 years ago by sagarkolekar ★ 11k
2
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1
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36k
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1
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Find the constants a,b,c so that $\bar{F} = (x + 2y + az)\hat{i} + (bx - 3y - z)\hat{j} + (4x + cy + 2z)\hat{k}$ is irrotational
engineering mathematics updated 4.1 years ago by teamques10 ★ 65k
2
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1
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34k
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1
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The following table gives the number of accidents in a city during a week. Find whether the accidents are uniformly distributed over a week.
engineering mathematics updated 4.1 years ago by prashantsaini • 0
2
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1
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34k
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1
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Basic partial derivatives : u = log( $x^2$ + $y^2$ ), prove $ \frac{\partial^2 \; u}{\partial x \partial y} \; = \; \frac{\partial^2 \; u}{\partial y \partial x} $
engineering mathematics updated 4.1 years ago by teamques10 ★ 65k
1
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1
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33k
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1
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Solve the following equations by Gauss-Siedel Method: 27x+6y-z=85, 6x+15y+2z=72, x+y+54z=110
engineering mathematics updated 2.3 years ago by pedsangini276 • 4.8k
2
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1
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32k
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1
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Calculate karl pearson's coefficient of correlation between expenditure and sales from given data.
engineering mathematics updated 5.2 years ago by sayalikulkarni • 0
7
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1
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32k
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1
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Differential equation Solve $(2xy^4e^y + 2xy^3+ y)dx + (x^2y^4e^y- x^2y^2- 3x) dy = 0$
engineering mathematics updated 2.3 years ago by pedsangini276 • 4.8k
5
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1
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32k
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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 7.9 years ago by teamques10 ★ 65k
2
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1
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32k
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1
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Find the perimeter of the cardiode $r=(1+\cos \theta)$
engineering mathematics updated 2.3 years ago by pedsangini276 • 4.8k
2
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1
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31k
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1
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Find the volume common to the cylinder $x^2+y^2=a^2$ and $x^2+z^2=a^2$ .
engineering mathematics updated 2.2 years ago by sagarkolekar ★ 11k
3
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1
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31k
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The means of two samples of sizes 1000 and 2000 respectively are 67.50 and 68.0 inches. Can the samples b regarded as drawn from the same population of S. D. 2.5 inches?
engineering mathematics updated 19 months ago by sagarkolekar ★ 11k
5
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1
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31k
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Find the Fourier series expansion for $f(x) = \sqrt{1 - cosx}$ in $(0, 2\pi)$, Hence deduce that $\frac{1}{2} = \sum\frac{1}{4n^2 - 1}$
engineering mathematics updated 4.6 years ago by teamques10 ★ 65k
2
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1
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30k
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1
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Find two non-singular matrices P & Q such that PAQ is in normal form where$ A= \left[ \begin{array}{cccc} 1 & 2 & 3 & -4 \\ 2 & 1 & 4 & -5 \\ -1 & -5 & -5 & 7 \end{array}\right]$ Also find rank of A
engineering mathematics updated 4.1 years ago by teamques10 ★ 65k
6
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1
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30k
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1
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Find the Fourier series expansion for f(x)=|x|, in (-π, π).
engineering mathematics updated 3.0 years ago by teamques10 ★ 65k
5
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1
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29k
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1
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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
5
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1
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29k
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1
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Find half range sine series for $f(x) = \pi x - x^2$ is $(0, \pi)$ Hence deduce that $\frac{\pi^3}{32} = 1 - \frac{1}{3^3} + \frac{1}{5^3} - \frac{1}{7^3}$
engineering mathematics updated 4.6 years ago by teamques10 ★ 65k
5
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1
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28k
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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 6.0 years ago by teamques10 ★ 65k
5
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2
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28k
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2
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Nine items of a sample had the following values 45 ,47 ,50 ,48 ,47 ,49 ,53 ,51.Does the mean of 9 items differ significantly from the assumed population mean 47.5 ?
engineering mathematics updated 2.5 years ago by teamques10 ★ 65k
2
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1
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28k
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1
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The probability that at any moment one telephone line out of 10 will be busy is 0.2.
engineering mathematics updated 2.3 years ago by pedsangini276 • 4.8k
5
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1
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27k
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1
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Find half range cosine series of $f(x) = sinx$ in $(0, \pi)$ Hence deduce that $\frac{1}{1.3} + \frac{1}{3.5} + \frac{1}{5.7} +..... = \frac{1}{2}$
engineering mathematics updated 4.6 years ago by teamques10 ★ 65k
4
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1
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27k
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1
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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 21 months ago by sagarkolekar ★ 11k
1
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1
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27k
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Show that the matrix A is diagonalizable, find its diagonal form and transforming matrix, if $$A= \begin{bmatrix} -9 & 4 & 4 \\ -8 & 3 & 4 \\ -16 & 8 & 7 \\ \end{bmatrix}$$
engineering mathematics updated 4.1 years ago by teamques10 ★ 65k
2
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1
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26k
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1
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Evaluate $\iiint xyz \,dx\,dy\,dz$, over the positive octant of the sphere $x^2+y^2+z^2=a^2$ .
engineering mathematics updated 2.3 years ago by teamques10 ★ 65k
3
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1
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25k
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1
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A vector field is given by $\bar{F} = (x^2 + xy^2)i + (y^2 + x^2 y)j$. Show that $\bar{F}$ is irrotational and find its scalar potential such that $\bar{F} = \bar{V}\phi$
engineering mathematics updated 4.1 years ago by teamques10 ★ 65k
1
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1
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25k
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1
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Find the Fourier series expansion of f(x)=x2 in [0,2π]
engineering mathematics updated 3.0 years ago by teamques10 ★ 65k
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