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12
votes
1
answer
55k
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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 14 months ago by vikaskandunoori173 • 30
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
8
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1
answer
739
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1
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Find the power sets of the following: (1) {a} (2) {a,{a, b}} (3) {a, b, c}
engineering mathematics updated 2.1 years ago by prajapatijaimin • 3.1k
4
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1
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279
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1
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De Moivre's formula using prove that,
engineering mathematics updated 2.1 years ago by prajapatijaimin • 3.1k
5
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2
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1.0k
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2
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Find all the values of $\left(\frac{1}{2}+i \frac{\sqrt{3}}{2}\right)^{3 / 4}$ , and also prove that the product of the four values is 1 .
engineering mathematics updated 2.1 years ago by prajapatijaimin • 3.1k
6
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1
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333
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1
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Find the modulus and amplitude of $\frac{1+3 \sqrt{3} \mathrm{i}}{\sqrt{3}+2 \mathrm{i}}$.
engineering mathematics updated 2.1 years ago by prajapatijaimin • 3.1k
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 6.1 years ago by teamques10 ★ 65k
5
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1
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77k
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1
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A car hire firm has two cars which it hires out day by day. The number of demands for a car on each day is distributed as poisson variate with mean 1.5. Also do the following.
engineering mathematics updated 2.3 years ago by pedsangini276 • 4.8k
2
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1
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297
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1
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If, $a=\cos \alpha+i \sin \alpha, b=\cos \beta+i \sin \beta$ and $c=\cos \gamma+i \sin \gamma$ find the value of, $\frac{a b}{c}-\frac{c}{a b}$.
engineering mathematics updated 2.1 years ago by prajapatijaimin • 3.1k
4
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1
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6.6k
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1
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Using simplex method solve the following L.P.P
engineering mathematics updated 2.1 years ago by prajapatijaimin • 3.1k
6
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1
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3.0k
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1
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If 5sinhx-coshx=5 find tanhx
engineering mathematics updated 2.1 years ago by prajapatijaimin • 3.1k
2
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1
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14k
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1
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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
3
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1
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23k
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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 4.1 years ago by teamques10 ★ 65k
5
votes
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
2
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1
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7.7k
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1
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Solve $(D^4+8D^2+16)y=sin^2x$ .
engineering mathematics updated 4.1 years ago by teamques10 ★ 65k
5
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1
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15k
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1
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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
4
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1
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7.1k
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1
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Reduce the matrix to normal form and hence find its rank.
engineering mathematics updated 2.6 years ago by yashbeer ★ 11k
1
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1
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352
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1
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Find the fourier expansion for f(x)=x in (0,2?).
engineering mathematics updated 3.0 years ago by teamques10 ★ 65k
2
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1
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4.7k
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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 2.3 years ago by teamques10 ★ 65k
1
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1
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6.9k
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1
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Solve $(3x+2)^2\frac{d^2y}{dx^2}+3(3x+2)\frac{dy}{dx}-36y=3x^2+4x+1$ .
engineering mathematics updated 4.1 years ago by teamques10 ★ 65k
1
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1
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1.7k
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1
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Fit a curve $y=ax+bx_2$ for the data:
engineering mathematics updated 4.1 years ago by teamques10 ★ 65k
5
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1
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23k
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1
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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
10
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1
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93k
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1
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Find Fourier Series for f(x) = |sinx| in $(-\pi, \pi)$
engineering mathematics updated 2.2 years ago by abhi78582 • 20
3
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1
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789
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1
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Maximum and minimum values
engineering mathematics updated 2.6 years ago by prakhar1144 ★ 5.0k
4
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2
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9.6k
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2
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Solve $(D^2-1)y=x^2sin3x$ .
engineering mathematics updated 2.3 years ago by teamques10 ★ 65k
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