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2
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Probablity and Random Processes : Show that X and Y are not independent.
engineering mathematics updated 3.8 years ago by phenjoisilab • 0
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Evaluate $\int\limits_0^1\sqrt{(\sqrt x-x)} dx $
engineering mathematics updated 3.8 years ago by krithikkm200 • 10
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Let V be a set of positive real numbers with addition & scalar multiplication defined as x + y = xy & cx = x$^c$. Show that V is a vector space under addition and scalar multiplication.
engineering mathematics updated 3.8 years ago by phenjoisilab • 0
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Find the volume of solid bounded by the surfaces $y^2 = 4ax, x^2 = 4ay$ and the planes $z = 0, z = 3.$
engineering mathematics updated 3.8 years ago by phenjoisilab • 0
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Show that the matrix $A$ satisfies Cayley-Hamilton Theorem and hence find $A^{-1}$, where
engineering mathematics updated 3.9 years ago by yashbeer ★ 11k
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Records pertaining to monthly number of job related injuries at Chemical plant were being studied by an NGO. The values for the past 100 months were as follows:
engineering mathematics updated 3.9 years ago by krithikkm200 • 10
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If f(x) $= (x - \alpha)(x - \beta)(x - \gamma)(x - \delta),$ then the determinant
engineering mathematics updated 3.9 years ago by krithikkm200 • 10
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Evaluate $\int\limits_0^{\infty}\dfrac{\log(11+ax^2)}{x^2} dx \hspace{2cm} a > 0$
engineering mathematics updated 3.9 years ago by krithikkm200 • 10
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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 3.9 years ago by krithikkm200 • 10
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Evaluate $\int\limits_0^{\infty}x^27^{-4x^2}$ dx
engineering mathematics updated 3.9 years ago by krithikkm200 • 10
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Is the matrix $A = \begin{bmatrix} 2 & 1 & 1 \\ 1 & 2 & 1 \\ 0 & 0 & 1 \end{bmatrix}$ diagonizable. If so find diagonal form and transforming matrix.
engineering mathematics updated 3.9 years ago by phenjoisilab • 0
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Verify Cayley Hamilton Theorem for $A = \begin{bmatrix} 1 & 2 & 0 \\ 2 & -1 & 0 \\ 0 & 0 & -1 \end{bmatrix}$, hence find $A^{-2}$
engineering mathematics updated 3.9 years ago by phenjoisilab • 0
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Find the value of $\mu$ which satisfy the equation $A^{100} X = \mu X$ where $A = \begin{bmatrix} 2 & 1 & - 1 \\ 0 & -2 & -2 \\ 1 & 1 & 0 \end{bmatrix}$
engineering mathematics updated 3.9 years ago by phenjoisilab • 0
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Show that matrix $A = \begin{bmatrix} -9 & 4 & 4 \\ -8 & 3 & 4 \\ -16 & 8 & 7 \end{bmatrix}$ is diagonizable. Also find diagonal form (D) and diagonalising matrix (M)
engineering mathematics updated 3.9 years ago by phenjoisilab • 0
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If $A = \begin{bmatrix} \frac{\pi}{2} & \frac{3\pi}{2} \\ \pi & \pi \end{bmatrix}$, Find SinA
engineering mathematics updated 3.9 years ago by phenjoisilab • 0
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Solve $\dfrac {dy}{dx}-2y=3e^x\space y(0)=0$ using taylor series method find approximate value of y for $x=1$ & $1.1$
engineering mathematics updated 3.9 years ago by krithikkm200 • 10
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Change to polar co-ordinate and evaluate $\int\limits_0^a\int\limits_0^{\sqrt{a^2-x^2}}(x^2+y^2)dydx$
engineering mathematics updated 3.9 years ago by krithikkm200 • 10
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Evaluate $\int\limits_0^a\int\limits_0^{\sqrt{1+x^2}}\dfrac 1{1+x^2+y^2}dxdy$
engineering mathematics updated 3.9 years ago by krithikkm200 • 10
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1.4k
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Change the order of integration and evaluate $\int\limits_0^{\infty}\int\limits_0^xxe^{\frac {-x^2}y}dydx$
engineering mathematics updated 3.9 years ago by krithikkm200 • 10
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Solve the $[x\sqrt{x^2+y^2}-y]dx+[y\sqrt{x^2+y^2}-x]dy=0$
engineering mathematics updated 3.9 years ago by krithikkm200 • 10
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Evaluate $\int\int x^2dxdx$ over the region bounded by $xy=a, x=2a , y=0$ and $y=x$ in the first quadrant.
engineering mathematics updated 3.9 years ago by krithikkm200 • 10
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Evaluate $\int\limits_0^{\infty}\int\limits_0^{\infty}e^{-(x^2+y^2)}dxdy $ by changing to polar co-ordinates.
engineering mathematics updated 3.9 years ago by krithikkm200 • 10
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Solve $\dfrac {dy}{dx}=2+\sqrt{xy}$ with $x=1.2,y=1.6403 $
engineering mathematics updated 3.9 years ago by krithikkm200 • 10
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Prove that $E\triangledown =\triangle =\triangledown E$
engineering mathematics updated 3.9 years ago by krithikkm200 • 10
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Evaluate $\int\limits_0^1\int\limits^1_{y^2}\int\limits_0^{1-x}x\space dz\space dy\space dx$
engineering mathematics updated 3.9 years ago by krithikkm200 • 10
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