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8
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1
answer
45k
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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 3.3 years ago by sagarkolekar ★ 11k
13
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1
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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 2.4 years ago by vikaskandunoori173 • 30
8
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1
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1.0k
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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 3.3 years ago by prajapatijaimin • 3.3k
5
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2
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2.0k
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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 3.2 years ago by prajapatijaimin • 3.3k
6
votes
1
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505
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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 3.2 years ago by prajapatijaimin • 3.3k
5
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1
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32k
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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 7.2 years ago by teamques10 ★ 70k
4
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1
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437
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1
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De Moivre's formula using prove that,
engineering mathematics updated 3.2 years ago by prajapatijaimin • 3.3k
2
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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 3.4 years ago by pedsangini276 • 4.8k
4
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1
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8.8k
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1
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Solve $(D^4+8D^2+16)y=sin^2x$ .
engineering mathematics updated 5.3 years ago by teamques10 ★ 70k
2
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1
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547
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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 3.2 years ago by prajapatijaimin • 3.3k
4
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1
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8.4k
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1
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Using simplex method solve the following L.P.P
engineering mathematics updated 3.2 years ago by prajapatijaimin • 3.3k
5
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1
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83k
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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 3.4 years ago by pedsangini276 • 4.8k
6
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1
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3.6k
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1
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If 5sinhx-coshx=5 find tanhx
engineering mathematics updated 3.3 years ago by prajapatijaimin • 3.3k
4
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2
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11k
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2
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Solve $(D^2-1)y=x^2sin3x$ .
engineering mathematics updated 3.5 years ago by teamques10 ★ 70k
6
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1
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18k
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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 5.3 years ago by teamques10 ★ 70k
5
votes
1
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16k
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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 5.3 years ago by teamques10 ★ 70k
4
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1
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7.7k
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1
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If $ cosec \bigg( \dfrac{\pi}{4} + ix \bigg) \;=\; u + iv $. Prove $ (u^2+v^2)^2 \;=\; 2(u^2-v^2) $
engineering mathematics updated 5.3 years ago by teamques10 ★ 70k
1
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1
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4.3k
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1
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If $ tan \Big[ log(x+iy) \Big] \;=\; a+ib , $ prove that $ tan[log(x^2+y^2)] \;=\; \dfrac{2a}{1-a^2-b^2} \; \; \; where \; a^2+b^2 \ne 1 $
engineering mathematics updated 5.3 years ago by teamques10 ★ 70k
4
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1
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9.6k
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1
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Reduce the matrix to normal form and hence find its rank.
engineering mathematics updated 3.8 years ago by yashbeer ★ 11k
5
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1
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34k
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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 7.3 years ago by teamques10 ★ 70k
1
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1
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2.0k
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1
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Fit a curve $y=ax+bx_2$ for the data:
engineering mathematics updated 5.3 years ago by teamques10 ★ 70k
1
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1
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7.5k
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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 5.3 years ago by teamques10 ★ 70k
5
votes
1
answer
28k
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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 5.2 years ago by teamques10 ★ 70k
3
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1
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1.4k
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1
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Maximum and minimum values
engineering mathematics updated 3.7 years ago by prakhar1144 ★ 5.0k
4
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1
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28k
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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 5.3 years ago by teamques10 ★ 70k
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