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Recent questions tagged sec7

If $ y = 500e^{\large 7x} + 600e^{\large -7x}$, what is $\large\frac{d^2y}{dx^2}$

asked Apr 10, 2014 by balaji.thirumalai

1 answer

If $ y = 3 \cos \: (\log x ) + 4 \sin ( \log x )$, show that $x^2y_2 + xy_1 $

asked Apr 10, 2014 by balaji.thirumalai

1 answer

If $ y = 5 \cos x - 3 \sin x $ , what is $\large\frac{d^2y}{dx^2} $

asked Apr 10, 2014 by balaji.thirumalai

1 answer

Integrate the function\[\sqrt{4-x^2}\]

asked Dec 4, 2012 by sreemathi.v

1 answer

Integrate the function\[\sqrt{1-4x^2}\]

asked Dec 4, 2012 by sreemathi.v

1 answer

Integrate the function $\sqrt{x^2+4x+6}$

asked Dec 4, 2012 by sreemathi.v

1 answer

Integrate the function $\sqrt{x^2+4x+1}$

asked Dec 4, 2012 by sreemathi.v

1 answer

Integrate the function $\sqrt{1-4x-x^2}$

asked Dec 4, 2012 by sreemathi.v

1 answer

Integrate the function $\sqrt{x^2+4x-5}$

asked Dec 4, 2012 by sreemathi.v

1 answer

Integrate the function $\sqrt{1+3x-x^2}$

asked Dec 4, 2012 by sreemathi.v

1 answer

Integrate the function $\sqrt{x^2+3x}$

asked Dec 4, 2012 by sreemathi.v

1 answer

Integrate the function\[\sqrt{1+\frac{x^2}{9}}\]

asked Dec 4, 2012 by sreemathi.v

1 answer

Choose the correct answer in $\Large \int \normalsize \sqrt{1+x^2}dx$ is equal to \[\begin{array}{l}(A)\;\frac{x}{2}\sqrt{1+x^2}+\frac{1}{2}log\LARGE\mid\normalsize\bigg(x+\sqrt{1+x^2}\bigg)\LARGE\mid\normalsize+C \\(B)\;\frac{2}{3}(1+x^2)^\frac{3}{2}+C\qquad \\ (C)\;\frac{2}{3}x(1+x^2)^\frac{3}{2}+ C \\ (D)\;\frac{x^2}{2}\sqrt{1+x^2}+\frac{1}{2}x^2log\LARGE\mid\normalsize x+\sqrt{1+x^2}\LARGE\mid\normalsize+C \end{array}\]

asked Dec 4, 2012 by sreemathi.v

1 answer

Choose the correct answer in $ \Large \int \normalsize \sqrt{x^2-8x+7} \: dx$ is equal to\[ \begin{array}{l} (A)\frac{1}{2}(x-4)\sqrt{x^2-8x+7}+9\;log\mid x-4+\sqrt{x^2-8x+7}\mid + \; C \\ (B)\frac{1}{2}(x+4)\sqrt{x^2-8x+7}+9\;log\mid x+4+\sqrt{x^2-8x+7}\mid + \; C \\ (C) \frac{1}{2}(x-4)\sqrt{x^2-8x+7}-3\sqrt2log\mid x-4+\sqrt{x^2-8x+7}\mid+ \; C \\ (D)\frac{1}{2}(x-4)\sqrt{x^2-8x+7}-\frac{9}{2}\;log\mid x-4+\sqrt{x^2-8x+7}\mid + \; C \end{array}\]

asked Dec 4, 2012 by sreemathi.v

1 answer

If \( y = ( tan^{-1}x )^2\), show that \( (x^2 + 1 )^2 \: y_2 + 2x (x^2 +1 ) \: y_1 = 2 \)

asked Nov 20, 2012 by thanvigandhi_1

1 answer

If \( e^y ( x + 1 ) = 1\), show that \( \large\frac{d^2y}{dx^2} = \left(\frac{dy}{dx}\right)^2\)

asked Nov 20, 2012 by thanvigandhi_1

1 answer

If \( y = 500e^{\large 7x} + 600e^{\large -7x}\), show that \( \large\frac{d^2y}{dx^2}\normalsize = 49y\)

asked Nov 20, 2012 by thanvigandhi_1

1 answer

If \( y = Ae^{mx} + Be^{nx}\), show that \( \large\frac{d^2y}{dx^2} -\normalsize ( m + n ) \large\frac{dy}{dx} +\normalsize mny = 0 \)

asked Nov 20, 2012 by thanvigandhi_1

1 answer

If \( y = 3 \cos \: (\log x ) + 4 \sin ( \log x )\), show that \(x^2y_2 + xy_1 + y = 0\)

asked Nov 20, 2012 by thanvigandhi_1

1 answer

If \( y =\cos^{-1}x \) , find \( \large\frac{d^2y}{dx^2}\) in terms of \( y \) alone.

asked Nov 20, 2012 by thanvigandhi_1

1 answer

If \( y = 5 \cos x - 3 \sin x \) , prove that \( \large\frac{d^2y}{dx^2}\normalsize + y = 0\)

asked Nov 20, 2012 by thanvigandhi_1

1 answer

Find the second order derivatives of the functions given in $ \sin (\log x) $

asked Nov 20, 2012 by thanvigandhi_1

1 answer

Find the second order derivatives of the functions given in $\log ( \log x) $

asked Nov 20, 2012 by thanvigandhi_1

1 answer

Find the second order derivatives of the functions given in $ \tan^{-1} x $

asked Nov 20, 2012 by thanvigandhi_1

1 answer

Find the second order derivatives of $ e^{6x} \cos 3x$

asked Nov 20, 2012 by thanvigandhi_1

1 answer

Find the second order derivatives of the function $(e^{\large x} \sin 5x)$

asked Nov 20, 2012 by thanvigandhi_1

1 answer

Find the second order derivatives of the functions given in $ x^3 \log x $

asked Nov 20, 2012 by thanvigandhi_1

1 answer

Find the second order derivatives of the functions given in $\log x $

asked Nov 20, 2012 by thanvigandhi_1

1 answer

Find the second order derivatives of the functions given in $ x \; \cos x$

asked Nov 20, 2012 by thanvigandhi_1

1 answer

Find the second order derivatives of the functions given in $ x^{\large 20} $

asked Nov 20, 2012 by thanvigandhi_1

1 answer

Find the second order derivatives of the functions given in $ x^2 + 3x + 2 $

asked Nov 20, 2012 by thanvigandhi_1

1 answer

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