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Recent questions tagged p40

Find the maximum and minimum values of 5x+2y subject to constraints \[-2x-3y\leq-6\]\[x-2y\leq2\]\[6x+4y\leq24\]\[-3x+2y\leq3\]\[x\geq0\;and\;y\geq0\]

asked Feb 5, 2013 by meena.p

0 answers

Determine graphically the minimum value of the objective function.\[z=-50x+20y\] subject to constraints \[2x-y\geq-5\]\[3x+y\geq3\]\[2x-3y\leq12\]\[x\geq0,y\geq0\]

asked Feb 5, 2013 by meena.p

0 answers

Solve the following LPP graphically. Minimize Z = 3x+5y subject to \[-2x+y\leq4\]\[x+y\geq3\]\[x-2y\leq2\]\[x,y\geq0\]

asked Feb 5, 2013 by meena.p

0 answers

Solve the following LPP graphically. Maximize or minimize Z = 3x+5y subject to \[3x-4y\geq-12\]\[2x-y+2\geq0\]\[2x+3y-12\geq0\]\[0\leq x\leq4\]\[y\geq2\]

asked Feb 5, 2013 by meena.p

1 answer

True or False:The graph of inverse trigonometric function can be obtained from the graph of their corresponding trigonometric function by interchanging x and y axes.

asked Dec 21, 2012 by sreemathi.v

1 answer

True or False: The least numerical value, either positive or negative of angle $\theta$ is called principal value of the inverse trigonometric function.

asked Dec 21, 2012 by sreemathi.v

1 answer

True or False: The domain of trigonometric functions can be restricted to any one of their branch(not necessarily principal value) in order to obtain their inverse function.

asked Dec 21, 2012 by sreemathi.v

1 answer

True or False: The value of the expression $(\cos^{-1}x)^2$ is equal to $\sec^2x.$

asked Dec 21, 2012 by sreemathi.v

1 answer

True or False: All trigonometric functions have inverse over their respective domains.

asked Dec 21, 2012 by sreemathi.v

1 answer

The value of $\cot^{-1}(-x)$ for all $x\;\in\;R$ in terms of $\cot^{-1}x$ is ____________.

asked Dec 21, 2012 by sreemathi.v

1 answer

The result $\tan^{-1}x-\tan^{-1}y=\tan^{-1}\bigg(\Large {\frac{x-y}{1+xy}}\normalsize \bigg)$ is true when value of xy is _____________.

asked Dec 21, 2012 by sreemathi.v

1 answer

If $y=2\tan^{-1}x+\sin^{-1}\frac{2x}{1+x^2}$ for all x,then _< y < ___.

asked Dec 21, 2012 by sreemathi.v

1 answer

The value of expression $\tan\bigg(\Large \frac{\sin^{-1}x+\cos^{-1}x}{2} \normalsize\bigg),when\;x=\frac{\sqrt 3}{2}$ is _______________.

asked Dec 21, 2012 by sreemathi.v

1 answer

The value of $\cos(\sin^{-1}x+\cos^{-1}x),|x|\leq 1$ is _____________.

asked Dec 21, 2012 by sreemathi.v

1 answer

The value of $\cos^{-1}\bigg(\cos\frac{14\pi}{3}\bigg)$ is _____________.

asked Dec 21, 2012 by sreemathi.v

1 answer

The principal value of $ \tan^{-1}\sqrt 3 $ is _______________.

asked Dec 21, 2012 by sreemathi.v

1 answer

The set of values of $\sec^{-1}\big(\frac{1}{2}\big)$ is ______________.

asked Dec 21, 2012 by sreemathi.v

1 answer

If $\cos(\tan^{-1}x+\cot^{-1}\sqrt 3)=0,$then the value of $x$ is _______________.

asked Dec 21, 2012 by sreemathi.v

1 answer

The value of $\sin^{-1}\bigg(\sin\frac{3\pi}{5}\bigg)$ is ________________.

asked Dec 21, 2012 by sreemathi.v

1 answer

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