Recent questions tagged fitb

The solution of the differential equation $x\large\frac{dy}{dx}$$+2y=x^2$ is

asked Jan 20, 2013 by sreemathi.v

1 answer

General solution of the differential equation of the type $\Large\frac{dy}{dx}$$+P_1x=Q_1$ is given by ______.

asked Jan 20, 2013 by sreemathi.v

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$\large\frac{dy}{dx}+\frac{y}{xlog x}=\frac{1}{x}$ is an equation of the type _____________.

asked Jan 20, 2013 by sreemathi.v

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The number of arbitrary constants in the general solution of a differential equation of order three is ________.

asked Jan 20, 2013 by sreemathi.v

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The degree of the differential equation $\sqrt{1+\bigg(\large\frac{dy}{dx}\bigg)^2}$$=x$ is ___________.

asked Jan 20, 2013 by sreemathi.v

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The degree of the differential equation $\large\frac{d^2y}{dx^2}$$+e^{\large\frac{dy}{dx}}$$=0$ is __________.

asked Jan 20, 2013 by sreemathi.v

1 answer

The vectors $\overrightarrow{a}=3\hat i+2\hat j+2\hat k$ and $\overrightarrow{b}=-\hat i+2\hat k$ are the adjacent sides of a parallelogram .The acute angle between its diagonals is__________.

asked Jan 17, 2013 by sreemathi.v

1 answer

The value of $\large\int\limits_{-\pi}^\pi$$\sin^3x\cos^2x dx$ is___________.

asked Jan 15, 2013 by sreemathi.v

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$\Large\int\frac{\sin x}{3+4\cos^2x}$$dx$=___________.

asked Jan 15, 2013 by sreemathi.v

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If $\Large \int\frac{1}{1+4x^2}$$dx=\large\frac{\pi}{8},$then a=____________.

asked Jan 15, 2013 by sreemathi.v

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$\int\Large{\frac{x+3}{(x+4)^2}}\normalsize e^xdx$=___________.

asked Jan 15, 2013 by sreemathi.v

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$\int\limits_0^{\Large\frac{\pi}{2}}\cos x\;e^{\sin x} dx$ is equal to ____________.

asked Jan 15, 2013 by sreemathi.v

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The least value of the function $f(x)=ax+\frac{b}{x}(a>0,b>0,x>0)$ is ___________.

asked Jan 12, 2013 by sreemathi.v

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The function $f(x)=\Large\frac{2x^2-1}{x^4}$,x>0,decreases in the interval__________.

asked Jan 12, 2013 by sreemathi.v

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The value of a for which the function $f(x)=sin x-ax+b$ increases on R are__________.

asked Jan 12, 2013 by sreemathi.v

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The equation of normal to the curve y=tan x at (0,0) is___________.

asked Jan 12, 2013 by sreemathi.v

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The curves $y=4x^2+2x-8$ and $y=x^3-x+13$ touch each other at the point_________.

asked Jan 12, 2013 by sreemathi.v

1 answer

Let A and B be two events.If P(A|B)=P(A),then A is______of B.

asked Jan 10, 2013 by sreemathi.v

0 answers

Let X be a random variable taking values $x_1,x_2,.....,x_n$ with probabilities $p_1,p_2,......,p_n$,respectively.Then var(X)=________.

asked Jan 10, 2013 by sreemathi.v

0 answers

If X follows binomial distribution with parameters n=5,p and P(x=2)=9,P(X=3),then p=__________.

asked Jan 10, 2013 by sreemathi.v

0 answers

If A and B are such that \[P(A'\cup B')=\frac{2}{3} \;and\;P(A\cup B)=\frac{5}{9},\]\[then\;P(A')+P(B')=\text{__________}.\]

asked Jan 10, 2013 by sreemathi.v

1 answer

If A and B are two events such that $P(A|B)=p,P(A)=p,P(B)=\frac{1}{3} \quad$ and $\quad P(A\cup B)= \frac{5}{9},$ then $\; p=\text{_____________}.$?

asked Jan 10, 2013 by sreemathi.v

1 answer

The feasible region for an LPP is always a __________ polygon.

asked Jan 8, 2013 by sreemathi.v

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A corner point of a feasible region is a point in the region which is the _________ of two boundary lines.

asked Jan 8, 2013 by sreemathi.v

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A feasible region of a system of linear inequalities is said to be _________ if it can be enclosed with in a circle.

asked Jan 8, 2013 by sreemathi.v

1 answer

In a LPP if the objective function $Z=ax+by$ has the same maximum value on two corner points of the feasible region,then every point on the line segment joining these two points give the same ________ value.

asked Jan 8, 2013 by sreemathi.v

1 answer

If the feasible region for a LPP is __________,then the optimal value of the objective function $Z=ax+by$ may or may not exist.

asked Jan 8, 2013 by sreemathi.v

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In a LPP,the objective function is always ______________.

asked Jan 8, 2013 by sreemathi.v

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In a LPP,the linear inequalities or restrictions on the variables are called _____________.

asked Jan 8, 2013 by sreemathi.v

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The cartesian equation of the plane $\overrightarrow{r}.(\hat i\;+\hat j-\hat k)\;=2$ is ____________.

asked Jan 6, 2013 by sreemathi.v

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The vector equation of the line through the points $(3,4,-7)$ and $(1,-1,6)$ is ______________.

asked Jan 6, 2013 by sreemathi.v

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The vector equation of the line $\Large \frac{x-5}{3}\;\frac{y-4}{7}\;\frac{z-6}{2}$ is _______________.

asked Jan 4, 2013 by sreemathi.v

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The direction cosines of the vector $(2\hat i+2\hat j-\hat k)$ are ___________.

asked Jan 4, 2013 by sreemathi.v

1 answer

A plane passes through the points $(2,0,0) (0,3,0)$ and $(0,0,4)$.The equation of plane is__________.

asked Jan 4, 2013 by sreemathi.v

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If $f(x)=\mid \cos x-\sin x\mid,then\;f'(\frac{\pi}{3})$=__________.

asked Jan 3, 2013 by sreemathi.v

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If $f(x)=\mid \cos x\mid$,then $f'(\frac{\pi}{4})$=____________.

asked Jan 3, 2013 by sreemathi.v

1 answer

Derivative of $x^2$ w.r.t $x^3$ is _____________.

asked Jan 3, 2013 by sreemathi.v

1 answer