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Find the length of the perpendicular from the point (5,4) on the straight line 2x+y=34.

engineering mathematics updated 3.6 years ago by pedsangini276 • 4.8k

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$\oint \frac{e^{2z}}{(Z+1)^4}dz$ where c is the circle |z-1|=3.

engineering mathematics updated 4.0 years ago by teamques10 ★ 70k

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Find the equation of straight line passes through the points (-4,6) and (8, -3)

engineering mathematics updated 3.8 years ago by DevarenjiniP • 3.2k

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If lambda is eigen value of A then prove that (lambda)^n is eigen value of A^n

engineering mathematics updated 4.0 years ago by teamques10 ★ 70k

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Derive the MGF of binomial distribution and hence finds it's mean and variance.

engineering mathematics updated 5.6 years ago by prashantsaini • 0

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Solve the following.

engineering mathematics updated 6.7 years ago by sayalikulkarni • 0

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The Volume of cube is $1000 cm^{3}.$ Find its total surface area.

engineering mathematics updated 3.6 years ago by pedsangini276 • 4.8k

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Separate into real and imaginary parts of tanh-1 (x+iy).

engineering mathematics updated 3.7 years ago by v2ishu789 • 40

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Complex Numbers : Solve $x^7+x^4+i(x^3+1)=0.$

engineering mathematics updated 5.6 years ago by teamques10 ★ 70k

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Show that the set V of positive real numbers with operations Addition: $x + y = xy$ Scalar Multiplication: $kx = x^k$ is a vector space where x, y are any two real numbers and k is any scalar.

engineering mathematics updated 3.9 years ago by teamques10 ★ 70k

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State and prove Euler theorem for a homogeneous function in two variables and find $ x\dfrac{\partial u}{\partial x}+y\dfrac{\partial u}{\partial y} \;\; where\;u=\dfrac{\sqrt{x}+\sqrt{y}}{x+y} $

engineering mathematics updated 5.6 years ago by teamques10 ★ 70k

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Find the area outside the circle $r = 2acos\theta$ and inside the cardioids $r=a(1+cos\theta)$.

engineering mathematics updated 3.7 years ago by aghui12149 • 20

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A square grassy plot is of side 100 metre.It has a gravel path 10 metres wide all round it on the inside. Find the area of path.

engineering mathematics updated 3.8 years ago by teamques10 ★ 70k

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Find the rank of the matrix by reducing it to normal form $\begin{vmatrix} 1&1&1\\ 1&-1&-1\\ 3&1&1\\ \end{vmatrix} $

engineering mathematics updated 5.6 years ago by teamques10 ★ 70k

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Find the matrix A, if adj A = \[\ \left[\begin{array}{ccc}-2 & 1 & 3 \\-2 & -3 & 11 \\2 & 1 & -5\end{array}\right]\]

engineering mathematics updated 4.0 years ago by kshirsagarsousu1963 • 500

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Without using calculator , find the value of $cos(105^{o})$

engineering mathematics updated 3.6 years ago by pedsangini276 • 4.8k

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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 3.8 years ago by pedsangini276 • 4.8k

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Evaluate $ \int_{0}^{2 \pi} \frac{d \theta}{3 + 2cos \theta} $

engineering mathematics updated 3.8 years ago by teamques10 ★ 70k

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Solve $\frac{dy}{dx} = x^3 + y$ with initial conditions y(0) = 2 at x = 0.2 in steps of h = 0.1 by Runge Kutta method of fourth order.

engineering mathematics updated 5.6 years ago by teamques10 ★ 70k

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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 4.0 years ago by teamques10 ★ 70k

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Distinguish the following: PCY, Multistage and Multihash

engineering mathematics updated 6.6 years ago by teamques10 ★ 70k

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Prove: $\frac{\sin 4 A+\sin 5 A+\sin 6 A}{\cos 4 A+\cos 5 A+\cos 6 A}=\tan 5 A$

engineering mathematics updated 3.6 years ago by pedsangini276 • 4.8k

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Relation between circular and hyperbolic function : If $\alpha$ + $\iota\beta$ = tanh($\chi$ + $\iota \frac{\pi}{4}$) , prove that $\alpha^2 + \beta^2$ = 1

engineering mathematics updated 5.6 years ago by teamques10 ★ 70k

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Solve $(D^2-1)y=x^2sin3x$ .

engineering mathematics updated 3.8 years ago by teamques10 ★ 70k

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Verify Caylay - Hamilton theorem for the matrix A and hence find $A^{-1}$ and A'.

engineering mathematics updated 3.8 years ago by sagarkolekar ★ 11k