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Engineering Mathematics

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1
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5.9k
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Find the equation of the line passing through (3,-4) and having slope $\frac{3}{2}$
engineering mathematics updated 4.1 years ago by krithikkm200 • 10
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734
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Find the equation of line passing through (3,4) and perpendicular to the line 2x-3y+5=0
engineering mathematics updated 4.1 years ago by krithikkm200 • 10
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Find the acute angle between the lines 3x - y = 4 and 2x + y = 3
engineering mathematics updated 4.1 years ago by krithikkm200 • 10
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3.0k
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Find the capacity of a cylindrical water tank whose radius is 2.1m and length is 5m.
engineering mathematics updated 4.1 years ago by krithikkm200 • 10
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748
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Solve the following equations by matrix inversion method:
engineering mathematics updated 4.1 years ago by krithikkm200 • 10
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896
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Find the value of $sin(15^{o})$ using compound angles
engineering mathematics updated 4.1 years ago by krithikkm200 • 10
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Find the range of the data: 14,18,22,35,42,44,8,7,5 and 2
engineering mathematics updated 4.1 years ago by krithikkm200 • 10
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If mean is 34.5 and standard deviation is 5 find the coefficient of variance.
engineering mathematics updated 4.1 years ago by krithikkm200 • 10
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726
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If A = $\left[\begin{array}{ccc}{0} & {1} & {-1} \\ {4} & {-3} & {4} \\ {3} & {-3} & {4}\end{array}\right]$ prove that $A^{2}=I$
engineering mathematics updated 4.1 years ago by krithikkm200 • 10
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5.5k
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Resolve into partial fractions: $\frac{x^{2}+23 x}{(x+3)\left(x^{2}+1\right)}$
engineering mathematics updated 4.1 years ago by krithikkm200 • 10
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694
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If $\tan A=\frac{1}{2}, \tan B=\frac{1}{3}, find the value of \tan (A+B)$
engineering mathematics updated 4.1 years ago by krithikkm200 • 10
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775
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Prove $: \tan \left(\frac{\pi}{4}+A\right)=\frac{\cos A+\sin A}{\cos A-\sin A}$
engineering mathematics updated 4.1 years ago by krithikkm200 • 10
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1.1k
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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 4.1 years ago by krithikkm200 • 10
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688
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Prove $: \cos ^{-1}\left(\frac{4}{5}\right)+\cos ^{-1}\left(\frac{12}{13}\right)=\cos ^{-1}\left(\frac{33}{65}\right)$
engineering mathematics updated 4.1 years ago by krithikkm200 • 10
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1.6k
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If A = $\left[\begin{array}{lll}{2} & {4} & {4} \\ {4} & {2} & {4} \\ {4} & {4} & {2}\end{array}\right]$ show that $A^{2} - 8A$ is scalar matrix.
engineering mathematics updated 4.1 years ago by krithikkm200 • 10
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3.6k
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Resolve into partial fraction: $\frac{3 x-1}{(x-4)(x+1)(x-1)}$
engineering mathematics updated 4.1 years ago by krithikkm200 • 10
0
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798
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1
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Prove that $\cos 20^{\circ} \cdot \cos 40^{\circ} \cdot \cos 60^{\circ} \cdot \cos 80^{\circ}=\frac{1}{16}$
engineering mathematics updated 4.1 years ago by krithikkm200 • 10
2
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1
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9.4k
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Find the acute angle between the lines 3x+2y+4=0 and 2x-3y-7=0.
engineering mathematics updated 4.1 years ago by krithikkm200 • 10
1
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1
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7.9k
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1
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Find the equation of line passing through the point (2,5) and through the intersection of the lines x+y = 0, and 2x-y=9.
engineering mathematics updated 4.1 years ago by krithikkm200 • 10
0
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1
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665
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1
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Prove $: \tan ^{-1}\left(\frac{1}{7}\right)+\tan ^{-1}\left(\frac{1}{13}\right)=\cos ^{-1}\left(\frac{9}{2}\right)$
engineering mathematics updated 4.1 years ago by krithikkm200 • 10
0
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1
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847
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1
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Prove: $\sin A . \sin (60-A) . \sin (60+A)=\frac{1}{4} \sin 3 A$
engineering mathematics updated 4.1 years ago by krithikkm200 • 10
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1
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2.3k
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1
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Find the distance between lines 3x+2y=5 and 6x+4y=66
engineering mathematics updated 4.1 years ago by krithikkm200 • 10
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2
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1.2k
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2
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The Volume of cube is $1000 cm^{3}.$ Find its total surface area.
engineering mathematics updated 4.1 years ago by krithikkm200 • 10
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1
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4.6k
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1
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Solve the following equations by matrix inversion method: x+3y + 2z = 6, 3x-2y+5z=5, 2x-3y+6z=7
engineering mathematics updated 4.1 years ago by krithikkm200 • 10
0
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611
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1
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prove that :$\frac{1}{\log _{3} 6}+\frac{1}{\log _{8} 6}+\frac{1}{\log _{9} 6}=3$
engineering mathematics updated 4.1 years ago by krithikkm200 • 10
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