Recent questions tagged q6

Evaluate : $ \int\large\frac{x^2}{1+x^3}$$dx $

asked Feb 11, 2013 by thanvigandhi_1

1 answer

Differentiate following w.r.t. $ x \cos ( \sqrt 3 x )$

asked Feb 9, 2013 by thanvigandhi_1

1 answer

Evaluate : $ \int_0^{\large\frac{\pi}{2}} \large\frac{\sin\: x-\cos\: x}{1+\sin\: x.\cos\:x}$$dx $

asked Feb 9, 2013 by thanvigandhi_1

1 answer

Evaluate : $ \int\large\frac{(log\: x)^2}{x} $$dx$

asked Feb 8, 2013 by thanvigandhi_1

1 answer

Find the value of x if $ \begin{bmatrix} 2 & 4 \\ 5 & 1 \end{bmatrix} = \begin{bmatrix} 2x & 4 \\ 6 & x \end{bmatrix} $

asked Feb 7, 2013 by thanvigandhi_1

1 answer

Evaluate : $ \int \large\frac{1+cot x}{x+\log \sin x}$$ dx $

asked Feb 7, 2013 by thanvigandhi_1

1 answer

In a hurdle race a player has to cross 10 hurdles. The probability that will clear each hurdle is 5/6, what is the probability that he will knock down fewer than 2 hurdles.

asked Feb 5, 2013 by meena.p

0 answers

Evaluate : $ \int (ax+b)^3 dx $

asked Feb 5, 2013 by thanvigandhi_1

1 answer

If a young man rides his motorcycle at 25 km/hr, he had to spend Rs.2 per km on petrol. If he rides at a faster speed of 40 km/hr, the petrol cost increases at Rs.5 per km. He has Rs.100 to spend on petrol and wishes to find what is the maximum distance he can travel within one hour. Express this as LPP and solve it graphically.

asked Feb 5, 2013 by meena.p

1 answer

Find the value of k for which the lines $\Large\frac{x-2}{1}=\frac{y-3}{1}=\frac{z-4}{-k}$ and $\Large \frac{x-1}{k}=\frac{y-4}{2}=\frac{z-5}{1}$ are co-planar.

asked Feb 5, 2013 by meena.p

0 answers

If $ \bar{a}\;and\;\bar{b}$ are vectors,prove that $ |\bar{a} \times \bar{b}|^2+(\bar{a}.\bar{b})^2=|\bar{a}|^2.|\bar{b}|^2$

asked Feb 4, 2013 by meena.p

1 answer

Solve:\[(x+y+1)\frac{dy}{dx}=1\]

asked Feb 4, 2013 by meena.p

0 answers

Sketch the region bounded by the curves $ y=\sqrt {5-x^2}\;and\; y=|x-1|$ and find its area.

asked Feb 4, 2013 by meena.p

0 answers

Write the value of $ \int \sec\: x (\sec\: x+\tan \: x)dx $

asked Feb 4, 2013 by thanvigandhi_1

1 answer

Write the value of $ \int e^{3\log\:x}.(x^4)dx $

asked Feb 4, 2013 by thanvigandhi_1

0 answers

If $ f(x)=\sin x^{\circ},$ find $\large\frac{dy}{dx}.$

asked Feb 3, 2013 by thanvigandhi_1

0 answers

Differentiate $ e^{\large \sin\: x} $ w.r.t. $ x $.

asked Feb 3, 2013 by thanvigandhi_1

0 answers

Evaluate : $ \int_0^{1.5} [x] \: dx $

asked Feb 2, 2013 by thanvigandhi_1

1 answer

Evaluate : $ \int e^{2-5x}\: dx.$

asked Jan 31, 2013 by thanvigandhi_1

0 answers

$\Large\int \frac {e^xdx} {e^{2x}+1}=$\[(a)\;log (e^x+e^{-x}) \qquad (b)\;log (e^{2x}+1)\qquad(c)\;\tan^{-1}(e^x) \qquad(d)\;\tan^{-1}(2e^x)\]

asked Jan 30, 2013 by meena.p

0 answers

Show that $ \overrightarrow a = 3\hat i + 2\hat j - 4\hat k $ and $ \overrightarrow b = -6\hat i - 4\hat j + 8\hat k$ are unlike vectors.

asked Jan 30, 2013 by thanvigandhi_1

0 answers

Evaluate : $ \int \large\frac{\sec^2(\log x)}{x}$$dx $

asked Jan 29, 2013 by thanvigandhi_1

0 answers

The difference between the greatest and the least values of the function $ f(x)=\large\cos x+\large\frac{1}{2}\cos 2x-\frac{1}{3}\cos 3x $ is \[(a)\;2/3\qquad(b)\;8/7\qquad(c)\;9/4\qquad(d)\;3/8\]

asked Jan 28, 2013 by meena.p

0 answers

Evaluate : $ \int \large\frac{\sin(\tan^{-1}x)}{1+x^2}$$dx $

asked Jan 28, 2013 by thanvigandhi_1

0 answers

If $ \int_0^a 3x^2dx=27$, find the value of a.

asked Jan 27, 2013 by thanvigandhi_1

0 answers

Evaluate : $ \int \large\frac{\sec^2x}{5+tan\: x}$$dx$

asked Jan 25, 2013 by thanvigandhi_1

0 answers

If $ f(x)=\begin{vmatrix} x & x^2 & x^3 \\ 1 & 2x & 3x^2 \\ 0 & 2 & 6x \end{vmatrix}$ than find $ f' (x)$

asked Jan 25, 2013 by meena.p

1 answer

Evaluate : $ \int_0^1 \large\frac{dx}{1+x^2} $

asked Jan 25, 2013 by thanvigandhi_1

0 answers

Using principal values, evaluate $ tan^{-1} \bigg( tan\frac{7\pi}{6} \bigg). $

asked Jan 24, 2013 by thanvigandhi_1

1 answer

Using properties of Determinants prove that : $ \begin{vmatrix} a^2 & bc & ac+c^2 \\ a^2+ab & b^2 & ac \\ab & b^2+ac & c^2 \end{vmatrix}=4a^2b^2c^2$

asked Jan 24, 2013 by meena.p

0 answers

Find the principal value of $\sin^{-1}\bigg(\frac{-\sqrt {3}}{2}\bigg)+\cos^{-1}\bigg(\frac{-\sqrt {3}}{2}\bigg)$

asked Jan 23, 2013 by meena.p

1 answer

If $ f(x) = 2^{\sin^2x}, $ then find $\large \frac{dy}{dx} $.

asked Jan 23, 2013 by thanvigandhi_1

0 answers

Let $ \int : {R\; \rightarrow \;R}$ be a function defined by $ f(x) = x^2-3x+4,$ for all $x \in R ,$ find the value of $f^{-1}(2)$.

asked Jan 23, 2013 by meena.p

0 answers

Find the value of a and b, if $\begin{bmatrix} 2 & -2 \\ 3 & 7 \end{bmatrix} = \begin{bmatrix} 2 & a \\ 3 & 2a+b \end{bmatrix} $

asked Jan 22, 2013 by thanvigandhi_1

1 answer

Find the general solution of $\Large \frac{dy}{dx}\normalsize =ay-e^{mx}$

asked Jan 17, 2013 by sreemathi.v

1 answer

Evaluate : $ \int_0^1\large \frac{dx}{\sqrt{1-x^2}} $

asked Jan 17, 2013 by thanvigandhi_1

0 answers

A vector $\overrightarrow{r}$ is inclined at equal angles to the three axes.If the magnitude of $\overrightarrow{r}$ is $2\sqrt 3$ units,find $\overrightarrow{r}.$

asked Jan 17, 2013 by sreemathi.v

1 answer

Evaluate : $ \int \sqrt{\tan x} (1+\tan^2x)dx.$

asked Jan 16, 2013 by thanvigandhi_1

0 answers

Find the area of the region enclosed by the parabola $x^2=y$ and the line $y=x+2$.

asked Jan 16, 2013 by sreemathi.v

1 answer

Evaluate : $ \int \sin\: x \cos \: dx $

asked Jan 15, 2013 by thanvigandhi_1

0 answers

Evaluate the following$\int\frac{dx}{1+\cos x}$

asked Jan 14, 2013 by sreemathi.v

1 answer

$ \int x^2 \bigg( 1-\large\frac{1}{x^2} \bigg) $$dx.$

asked Jan 11, 2013 by thanvigandhi_1

0 answers

FInd the approximate value of $(1.999)^5$.

asked Jan 11, 2013 by sreemathi.v

1 answer

The radius of a circle is increasing at 0.7 cm/s. What is the rate of increase of its circumference?

asked Jan 10, 2013 by thanvigandhi_1

0 answers

Evaluate : $ \int (ax+b)^3dx.$

asked Jan 10, 2013 by thanvigandhi_1

0 answers

Evaluate : $ \int \large\frac{x^2}{1+x^3}$$dx.$

asked Jan 9, 2013 by thanvigandhi_1

0 answers

Explain why the experiment of tossing a coin three times is said to have binomial distribution.

asked Jan 8, 2013 by sreemathi.v

1 answer

Evaluate : $ \int \large\frac{\sec^2x}{3+tan\: x}$$dx$

asked Jan 8, 2013 by thanvigandhi_1

0 answers

$\int \: \bigg[ \sqrt x - \large\frac{1}{\sqrt x}\bigg]^2$$dx. $

asked Jan 6, 2013 by thanvigandhi_1

0 answers

$ \int \: (2x^2-3sinx+5\sqrt x)dx.$

asked Jan 4, 2013 by thanvigandhi_1

0 answers

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