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Engineering Mathematics

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Prove that, $\tan 3 \mathrm{~A}=\frac{3 \tan \mathrm{A}-\tan ^{3} \mathrm{~A}}{1-3 \tan ^{2} \mathrm{~A}}$.
engineering mathematics updated 3.9 years ago by yerasylmakulbe671 • 10
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Find the power sets of the following: (1) {a} (2) {a,{a, b}} (3) {a, b, c}
engineering mathematics updated 3.9 years ago by thambisrilalith126 • 20
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Solve $ x^7+x^4+i(x^3+1)=0$
engineering mathematics updated 3.9 years ago by rjran106 • 20
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Find standard deviation
engineering mathematics updated 3.9 years ago by thambisrilalith126 • 20
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Expand in a series
engineering mathematics updated 3.9 years ago by krithikkm200 • 10
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If x=ev secu, y=ev tanu find \[\ j\left(\frac{u,v}{x,y}\right)\]
engineering mathematics updated 3.9 years ago by krithikkm200 • 10
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Find nth derivative
engineering mathematics updated 3.9 years ago by krithikkm200 • 10
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Find (1.04)3.01 by using theory of approximation.
engineering mathematics updated 3.9 years ago by krithikkm200 • 10
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If 5sinhx-coshx=5 find tanhx
engineering mathematics updated 3.9 years ago by thambisrilalith126 • 20
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Find the value of 'p' sucj that the function f(z) expressed in polar co-ordinates as f(z) = r3 cos p&theta
engineering mathematics updated 3.9 years ago by 19bcs3866 • 10
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Find the maximum and minimum values of : $x^3+3xy^2-3x^2-3y^2+4$
engineering mathematics updated 3.9 years ago by phenjoisilab • 0
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Means of two random samples of size 9 & 7 are 196.42 & 198.82 respectively. Sum of squares of deviation from means is 26.94 & 18.73. Can sample be considered to have been drawn from same population?
engineering mathematics updated 4.0 years ago by phenjoisilab • 0
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Calculate the mean, standard deviation and co-efficient of variance
engineering mathematics updated 4.0 years ago by teamques10 ★ 70k
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Find the value of $\lambda$ for which the equations \[x_1+2x_2+x_3=3,\ x_1+x_2+x_3=\lambda{},\ 3x_1+x_2+3x_3={\lambda{}}^2\] has a solution & solve them completely for each value of $\lambda$
engineering mathematics updated 4.0 years ago by teamques10 ★ 70k
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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 a solution and solve them completely in each case.
engineering mathematics updated 4.0 years ago by teamques10 ★ 70k
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Separate into real and imaginary parts $tan^{-1}(ei\theta)$
engineering mathematics updated 4.0 years ago by teamques10 ★ 70k
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In a series of sines of multiple of $\theta$, expand $sin7 \theta$
engineering mathematics updated 4.0 years ago by teamques10 ★ 70k
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The equation of a line (L) is Y = 1/2x + 2. The vertices of the triangle ABC are given in homogeneous co-ordinates as A(2, 4, 1), B(4, 6, 1) and C(2, 6, 1).
engineering mathematics updated 4.0 years ago by krithikkm200 • 10
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A rectangle ABCD has vertices A(1,1), B(2,1), C(2,3), D(1,3). It has to be rotated by $30^0$ CCW about point P(3,2). Determine:
engineering mathematics updated 4.0 years ago by krithikkm200 • 10
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Reflect a triangle ABC, A(2,4), B(4,6) and C(2,6) about a line 2y - x - 4 = 0. Find out the new vertices of a triangle.
engineering mathematics updated 4.0 years ago by krithikkm200 • 10
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Reflect the triangle ABC about the line 3x - 4y + 8 = 0. The position vector of the coordinate ABC is given as A = (4, 1), B = (5, 2), C = (4, 3).
engineering mathematics updated 4.0 years ago by krithikkm200 • 10
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Find the range and coefficient of range of the data: 50 , 90 , 120 , 40 , 180 , 200 , 80.
engineering mathematics updated 4.0 years ago by krithikkm200 • 10
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Find the range and coefficient of range of the data: 50 , 90 , 120 , 40 , 180 , 200 , 80.
engineering mathematics updated 4.0 years ago by krithikkm200 • 10
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Resolve into partial fractions : $\frac{x+3}{(x-1)(x+1)(x+5)}$
engineering mathematics updated 4.0 years ago by krithikkm200 • 10
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If$ A = \begin{bmatrix} 2 & 1 \\ 0 & 3 \end{bmatrix}$, $B = \begin{bmatrix} 1 & 2 \\ 3 & -2 \end{bmatrix}$, whether AB is singular or non-singular matrix?
engineering mathematics updated 4.0 years ago by krithikkm200 • 10
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