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Recent questions tagged q65

If sea water contains 63ppm $NO_3^{-1}$ and its density is 1.01g/ml,the approximate molarity of sea water is

asked Oct 28, 2013 by sreemathi.v

1 answer

$x=\cos \theta,y= \sin 5 \theta =>(1-x^2)\large\frac{d^2y}{dx^2}$$ - x \large\frac{dy}{dx}$ is equal to

asked Oct 28, 2013 by meena.p

1 answer

The structures furcula, urostyle, endostyle are present respectively in

asked Oct 18, 2013 by thanvigandhi_1

1 answer

If $y=\sin (\log _e x)$ then $x^2 \large\frac{d^2y}{dx^2}+ x \large\frac{dy}{dx}=$

asked Oct 17, 2013 by meena.p

1 answer

$x= \large\frac{1-\sqrt y}{1+\sqrt y}=>\large\frac{dy}{dx}=$

asked Oct 10, 2013 by meena.p

0 answers

In $\Delta ABC$ $a=3,b=5,c=6$ find the value of $\sin\large\frac{A}{2}$

asked Oct 10, 2013 by sreemathi.v

1 answer

In birds, Foramen triosseum is present at the junction of

asked Oct 6, 2013 by thanvigandhi_1

2 answers

$f(x)=(\cos x) (\cos 2x).........( \cos nx) => f'(x)+ \sum \limits _{r=1} ^ n (r \tan rx) f(x)=$

asked Sep 27, 2013 by meena.p

1 answer

If $ax^2+2hxy+by^2+2gx+2fy+c=0$ represents a pair of parallel lines then $\sqrt {\large\frac{g^2-ac}{f^2-bc}}=$

asked Sep 23, 2013 by meena.p

1 answer

$f(x)=\large\frac{1}{1+\Large\frac{1}{x}};$$g(x)=\large\frac{1}{1+\Large\frac{1}{f(x)}}$$=>g'(2)=$

asked Sep 16, 2013 by meena.p

1 answer

A mass M is split into two parts m and (M-m) which are then separated by a certain distance. What ratio of m/M maximise the gravitational force between the parts?

asked Aug 23, 2013 by meena.p

1 answer

The potential energy of a force field $\hat F$ is given by $v(x,y)=\cos (x+y)$ . The force acting on the particle at position given by coordinate $(0, \large\frac{\pi}{4})$ is

asked Aug 6, 2013 by meena.p

1 answer

An insect crawls up a hemispherical surface very slowly. The coefficient of friction between insect and surface is $\large\frac{1}{3}$. If the line joining the center of hemispherical surface to the insect makes an angle $\alpha$ with the vertical the maximum possible angle of $\alpha$ is

asked Jul 11, 2013 by meena.p

1 answer

Two buildings are 40m apart with what velocity should a ball be thrown horizontally from a window 145 m above the ground in one building so that it will enter a window $22.5 m$ above the ground in second building? $(g=9.8 m/s^2)$

asked Jun 29, 2013 by meena.p

1 answer

The value of $\int\limits_{0}^{\pi/4}\cos^{3}2x dx$ is

asked May 21, 2013 by poojasapani_1

1 answer

If the point represented by the complex number $iz$ is rotated about the origin through the angle $\large\frac{\pi}{2}$ in the counter clockwise direction then the complex number representing the new position is

asked May 12, 2013 by poojasapani_1

1 answer

Evaluate:\[\int _0 ^ 1 \frac{x}{1+x^4}dx\]

asked Feb 3, 2013 by meena.p

0 answers

Show that the function $f(x)=e^{2x}$ is strictly increasing on R.

asked Jan 29, 2013 by meena.p

0 answers

The differential equation for which $y=a\cos x+b\sin x$ is a solution is \[(A)\;\frac{d^2y}{dx^2}+y=0 \quad (B)\;\frac{d^2y}{dx^2}-y=0 \quad (C)\;\frac{d^2y}{dx^2}+(a+b)y=0 \quad (D)\;\frac{d^2y}{dx^2}+(a+b)y=0\]

asked Jan 20, 2013 by sreemathi.v

1 answer

Verify the Rolle's theorem for the function $f(x)=x(x-1)^2\;in\;[0,1]$

asked Jan 2, 2013 by sreemathi.v

1 answer

For any two matrices A and B,we have

asked Dec 24, 2012 by sreemathi.v

1 answer

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