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1
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1.4k
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1
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Evaluate $\int\int\int x^2yz\space dx\space dy\space dz$ throughout the volume bounded by $x = 0, y = 0, z = 0, x + y + z = 1.$
engineering mathematics updated 3.9 years ago by teamques10 ★ 70k
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Prove that $ E = 1 + \Delta = e^{hD}$
engineering mathematics updated 3.9 years ago by teamques10 ★ 70k
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1.6k
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Prove that $E=1+\triangle =e^{hD}$
engineering mathematics updated 3.9 years ago by teamques10 ★ 70k
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1.1k
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Evaluate $\int\limits_0^{\infty} \dfrac {\log(11+ax^2}{x^2}dx\hspace {1cm} a > 0$
engineering mathematics updated 3.9 years ago by teamques10 ★ 70k
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Evaluate $\int\limits_0^1\int\limits_0^{1-x}\int\limits_0^{1-x-y}\dfrac {dxdydz}{(1+x+y+z)^3}$
engineering mathematics updated 3.9 years ago by teamques10 ★ 70k
6
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16k
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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 3.9 years ago by teamques10 ★ 70k
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1
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1.2k
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Prove that $\int\limits_0^{\frac \pi2}\tan ^nx\space dx =\dfrac \pi2 \sec\Bigg[\dfrac {n\pi}2\Bigg]$
engineering mathematics updated 3.9 years ago by teamques10 ★ 70k
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1
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6.2k
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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 3.9 years ago by teamques10 ★ 70k
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1.1k
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Evaluate $\int\limits_{-1}^1\dfrac {dx}{1+x^2}$ by
engineering mathematics updated 3.9 years ago by teamques10 ★ 70k
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1
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1.1k
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Evaluate $\int\limits_0^1\int\limits_0^x xy\space dydx$
engineering mathematics updated 3.9 years ago by teamques10 ★ 70k
5
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1
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8.7k
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Change the order of integration and evaluate $\int\limits_0^a\int\limits_{\frac{y^2}a }^y\dfrac y{(a-x)\sqrt{ax-y^2}}dxdy$$
engineering mathematics updated 3.9 years ago by teamques10 ★ 70k
0
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1.3k
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Change to polar coordinate and evaluate $\int\limits_0^a \int\limits_{\sqrt{ax-x^2}}^{\sqrt{a^2-x^2}}\dfrac {dxdy}{\sqrt{a^2-x^2-y^2}}$
engineering mathematics updated 3.9 years ago by teamques10 ★ 70k
0
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1
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1.1k
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1
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Evaluate $\int\limits_0^1\int\limits_0^{\sqrt{a+x^2}}\dfrac {dxdy}{1+x^2+y^2}$
engineering mathematics updated 3.9 years ago by teamques10 ★ 70k
8
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1
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16k
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1
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Solve the equation : $ x^6 - i = 0 $
engineering mathematics updated 3.9 years ago by teamques10 ★ 70k
0
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1
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1.5k
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1
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Change the order of integration and evaluate $\int\limits_0^2\int\limits^2_{\sqrt {2x}}\dfrac {y^2dxdy}{\sqrt{y^2-4x^2}}$
engineering mathematics updated 3.9 years ago by teamques10 ★ 70k
0
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1
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1.9k
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1
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Change the order of integration and evaluate $\int\limits_0^1\int\limits_x^{\frac 1x}\dfrac y{(1+xy)^2(1+y^2)}dydx$
engineering mathematics updated 3.9 years ago by teamques10 ★ 70k
1
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1
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1.1k
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$\int\limits_0^1\int\limits_y^{\sqrt y}\dfrac x{(1-y)\sqrt{y-x^2}}dydx $ Integrating first w.r.t.x,
engineering mathematics updated 3.9 years ago by teamques10 ★ 70k
1
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1
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1.2k
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Change the order of integral and hence evaluate $\int\limits_0^5\int\limits_{2-x}^{2+x}$
engineering mathematics updated 3.9 years ago by teamques10 ★ 70k
1
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1
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2.7k
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1
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Show that the length of the parabola $ y^2=ax $ cut of f by the line $3y-8x $ is a $(\log 2+15/16)$
engineering mathematics updated 3.9 years ago by teamques10 ★ 70k
1
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1
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713
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1
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Find all possible Laurent's series of the function $f(z)=\frac{7z-2}{z(z+1)(z-2)}$ about z=-1
engineering mathematics updated 3.9 years ago by teamques10 ★ 70k
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4.3k
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The regression lines of a sample are x + 6y = 6, and 3 x + 2 y =10, find (i) sample means $\bar {x} and \bar {y} $ (ii) coefficient of correlation between x and y .
engineering mathematics updated 3.9 years ago by teamques10 ★ 70k
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1
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1.1k
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If the heights of 500 students is normally distributed with mean 68 inches and standard deviation of 4 inches ,estimate the number of students having heights (i) less than 62 inches, (ii) between 65
engineering mathematics updated 3.9 years ago by teamques10 ★ 70k
1
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1
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1.6k
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If X is Binomially distributed with E(X)=2 and Var(X)=4/3. Find the probability distribution of X.
engineering mathematics updated 3.9 years ago by teamques10 ★ 70k
1
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1
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468
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Inverse Laplace theorem
engineering mathematics updated 3.9 years ago by yerasylmakulbe671 • 10
1
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1
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1.9k
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Find a vector orthogonal to both u=(-6,4,2),v=(3,1,5)
engineering mathematics updated 3.9 years ago by teamques10 ★ 70k
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