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Find x, if $\left|\begin{array}{ccc}{4} & {3} & {9} \\ {3} & {-2} & {7} \\ {11} & {4} & {x}\end{array}\right|=0$
engineering mathematics updated 4.3 years ago by krithikkm200 • 10
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Without using calculator , find the value of $cos(105^{o})$
engineering mathematics updated 4.3 years ago by krithikkm200 • 10
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The area of rectangular garden is $3000 m^{2}$. Its sides are in the ratio 6:5. Find the perimeter of the garden
engineering mathematics updated 4.3 years ago by krithikkm200 • 10
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Find the range and coefficient of range 40,52,47,28,36,47,50
engineering mathematics updated 4.3 years ago by krithikkm200 • 10
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Solve the equations by Cramers rule: x + y +z = 3, x - y + z = 1,x + y - 2z = 0
engineering mathematics updated 4.3 years ago by krithikkm200 • 10
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641
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If A =$\left[\begin{array}{lll}{2} & {4} & {4} \\ {4} & {2} & {4} \\ {4} & {4} & {2}\end{array}\right]$, find $A^{2} - 8A$
engineering mathematics updated 4.3 years ago by krithikkm200 • 10
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759
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Resolve into partial fractions $\frac{3 x+2}{(x+1)\left(x^{2}-1\right)}$
engineering mathematics updated 4.3 years ago by krithikkm200 • 10
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prove that $\frac{\cos 2 A+2 \cos 4 A+\cos 6 A}{\cos A+2 \cos 3 A+\cos 5 A}=\cos A-\sin A \tan 3 A$
engineering mathematics updated 4.3 years ago by krithikkm200 • 10
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Prove tha $\frac{1+\sin \theta-\cos \theta}{1+\sin \theta+\cos \theta}=\tan \left(\frac{\theta}{2}\right)$
engineering mathematics updated 4.3 years ago by krithikkm200 • 10
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prove that $\sin 20^{0} \sin 40^{\circ} \sin 60^{\circ} \sin 80^{\circ}=\frac{3}{16}$
engineering mathematics updated 4.3 years ago by krithikkm200 • 10
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Without using calculator , Prove that $\sin 420^{\circ} \cos 390^{\circ}+\cos \left(-300^{\circ}\right) \sin \left(-330^{\circ}\right)=1$
engineering mathematics updated 4.3 years ago by krithikkm200 • 10
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Find the acute angle between the lines y = 5x + 6 and y = x
engineering mathematics updated 4.3 years ago by krithikkm200 • 10
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920
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Calculate standard deviation and co-efficient of variance of the following table:
engineering mathematics updated 4.3 years ago by krithikkm200 • 10
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The data of run scored by two batsmen A and B in five one day matches is given below:
engineering mathematics updated 4.3 years ago by krithikkm200 • 10
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457
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Find nth derivative of 2xcos2x sin x.
engineering mathematics updated 4.3 years ago by krithikkm200 • 10
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Expand log(1 + x + x2 + x3) in powers of x upto x8.
engineering mathematics updated 4.3 years ago by krithikkm200 • 10
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615
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Show that\[ \bar{F}=\left(y^2-z^2+3yz-2x\right)i+\left(3xz+2xy\right)i+\left(3xy-2xz+2z\right)k\] is both solenoidal and irrotational.
engineering mathematics updated 4.3 years ago by krithikkm200 • 10
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413
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Examine the convergence of \[{\left(\frac{2^2}{1^2}-\frac{2}{1}\right)}^{-1}+{\left(\frac{3^3}{2^3}-\frac{3}{2}\right)}^{-2}+{\left(\frac{4^4}{3^4}-\frac{4}{3}\right)}^{-3}+?\ ...\]
engineering mathematics updated 4.3 years ago by krithikkm200 • 10
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534
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Find (i) $[\ L^{-1}\ \dfrac{se^{-\pi s}}{s^2+3s+2}$ (ii) $L [t. H(t - 4)+t^2 \delta(t-4)] ]$
engineering mathematics updated 4.3 years ago by teamques10 ★ 70k
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Let A = { a,b,c,d,e,f,g,g} Determine whether following is a partition of A or not. Justify your answer.
engineering mathematics updated 4.3 years ago by yashbeer ★ 11k
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507
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Evaluate the following: \[\displaystyle\lim_{x \to 0}\Big[ \dfrac{1}{x^2} - cot^2x \Big]\]
engineering mathematics updated 4.3 years ago by rjran106 • 20
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376
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Evaluate $( \int ^{\infty}_0e^{-2t}\left ( \dfrac{\sinh t \sin t}{t} \right )dt )$
engineering mathematics updated 4.3 years ago by teamques10 ★ 70k
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Find Fourier Series for f(x) = |sinx| in $(-\pi, \pi)$
engineering mathematics updated 4.3 years ago by esparzavicto902 • 20
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Find the volume common to the cylinder $x^2+y^2=a^2$ and $x^2+z^2=a^2$ .
engineering mathematics updated 4.3 years ago by phenjoisilab • 0
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Evaluate the integral
engineering mathematics updated 4.4 years ago by rjran106 • 20
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