Recent questions tagged q3-2

Write the statement " The banana tree will bloom if it stays warm for a month.' in 'if-then' form

asked Jul 22, 2014 by rvidyagovindarajan_1

1 answer

Write the component of the compound statement "All integers are positive or negative." Also check whether it is true of false.

asked Jul 14, 2014 by rvidyagovindarajan_1

1 answer

Verify that $(0,7,10),\:(-1,6,6)\:and\:(-4,9,6)$ are vertices of a right angled triangle.

asked Apr 17, 2014 by rvidyagovindarajan_1

1 answer

Name the octant in which the point $(4,-2,3)$ lies.

asked Apr 15, 2014 by rvidyagovindarajan_1

1 answer

Find the local maxima and local minima, if any, of the following functions. Find also the local maximum and the local minimum values, as the case may be: $ (ii)\: g (x) = x^3-3x$

asked Aug 6, 2013 by sreemathi.v

1 answer

Prove that if $\omega^3=1$,then (ii) $\bigg(\large\frac{-1+i\sqrt 3}{2}\bigg)^5+\bigg(\large\frac{-1-i\sqrt 3}{2}\bigg)^5$$=-1$

asked Jun 12, 2013 by sreemathi.v

1 answer

If $\cos \alpha +\cos \beta + \cos \gamma = 0 = \sin \alpha + \sin \beta + \sin \gamma$, prove that $\sin 3\alpha + \sin 3\beta + \sin 3\gamma = 3 \sin\left ( \alpha +\beta + \gamma \right )$

asked Jun 11, 2013 by sreemathi.v

1 answer

Classify the following as scalar and vector quantities. $ $distance.

asked May 16, 2013 by sreemathi.v

1 answer

Find the local maximum and minimum values of the following: $2x^{3}+5x^{2}-4x $

asked May 5, 2013 by poojasapani_1

1 answer

Which of the following function are increasing or decreasing on the interval given? \[\]$2x^{2}+3x$ on $[-\large\frac{1}{2} ,\frac{1}{2}]$

asked May 4, 2013 by poojasapani_1

1 answer

The distince $x$ meters traveled by a vehical in time $t$ seconds after the brakes are applied is given by:$\;x=20 t-\large\frac{5}{3}$$t^{2}$. Determine the distance the car travelled before it stops.

asked Apr 30, 2013 by poojasapani_1

1 answer

Evaluate: $\int\limits_{0}^{\large\frac{\pi}{6}}\sin^{7}3x dx$

asked Apr 27, 2013 by poojasapani_1

1 answer

Using chain rule find $\large\frac{dw}{dt}$ for each of the following :$w=\log(x^{2}+y^{2})$ where $x=e^{t},y=e^{-t}$

asked Apr 25, 2013 by poojasapani_1

1 answer

Use differentials to find an approximate value for the given numbers $\large\frac{1}{10.1}$

asked Apr 24, 2013 by poojasapani_1

1 answer

$20\%$ of the bolts produced in a factory are found to be defective. Find the probability that in a sample of $10$ bolts chosen at random exactly $2$ will be defective using ,Poisson distribution.$ [e^{-2}=0.1353].$

asked Apr 21, 2013 by poojasapani_1

1 answer

Find the differential equation of family of straight lines $y=mx+\large\frac{a}{m}$ When $a$ is the parameter.

asked Apr 15, 2013 by poojasapani_1

1 answer

Find the angle between the asymptotes of hyperbola $9(x-2)^{2}-4(y+3)^{2}=36$

asked Apr 13, 2013 by poojasapani_1

1 answer

Find the equation of the tangent to the parabola $y^{2}=16x,$ perpendicular to the line $3x-y+8=0$

asked Apr 13, 2013 by poojasapani_1

1 answer

Find the equations of directrices ,latus rectums and length of latus rectum of the following hyperbolas:$9x^{2}-4y^{2}-36x+32y+8=0$

asked Apr 11, 2013 by poojasapani_1

1 answer

If $ cos \;\alpha + cos \;\beta + cos \;\gamma = 0 = sin \;\alpha + sin \;\beta + sin \; \gamma $, prove that $ sin \;3\alpha \; + \;sin \;3\beta + sin \;3\gamma = 3 sin\left ( \alpha\; + \;\beta\; + \;\gamma \;\right )\Large$

asked Apr 5, 2013 by geethradh

0 answers

Find $ gof$ and $fog$, if $f(x) = 8x^3$ and $g(x)=x^\frac{1}{3}$

asked Mar 13, 2013 by sreemathi.v

1 answer

Find $ gof$ and $fog$, if (ii) $ f(x) = 8x^3$ and $ g(x) = x ^ \frac { 1} {3} $

asked Mar 7, 2013 by meena.p

1 answer

If $ A' = \begin{bmatrix} 3 & 4 \\ -1 & 2 \\ 0 & 1 \end{bmatrix} \text{ and } B = \begin{bmatrix} -1 & 2 &1 \\ 1 & 2 & 3 \end{bmatrix}$, then verify that $ (ii) ( A - B )' = A' - B' $

asked Mar 5, 2013 by balaji.thirumalai

1 answer

Construct $a_{2\times 2}$ matrix where $a_{ij} =|2i+3j|$

asked Mar 4, 2013 by sreemathi.v

1 answer

Compute the indicated products: $(ii)\;\begin{bmatrix}1\\2\\3\end{bmatrix}\begin{bmatrix}2 & 3 & 4\end{bmatrix} $

asked Feb 27, 2013 by balaji.thirumalai

1 answer

Examine the following functions for continuity. $f(x) = \frac {1} { x - 5}, x \: \neq \: 5 $

asked Nov 7, 2012 by thanvigandhi_1

1 answer

Ask Questions, Get Answers

Write the statement " The banana tree will bloom if it stays warm for a month.' in 'if-then' form

Write the component of the compound statement "All integers are positive or negative." Also check whether it is true of false.

Verify that $(0,7,10),\:(-1,6,6)\:and\:(-4,9,6)$ are vertices of a right angled triangle.

Name the octant in which the point $(4,-2,3)$ lies.

Find the local maxima and local minima, if any, of the following functions. Find also the local maximum and the local minimum values, as the case may be: $ (ii)\: g (x) = x^3-3x$

Prove that if $\omega^3=1$,then (ii) $\bigg(\large\frac{-1+i\sqrt 3}{2}\bigg)^5+\bigg(\large\frac{-1-i\sqrt 3}{2}\bigg)^5$$=-1$

If $\cos \alpha +\cos \beta + \cos \gamma = 0 = \sin \alpha + \sin \beta + \sin \gamma$, prove that $\sin 3\alpha + \sin 3\beta + \sin 3\gamma = 3 \sin\left ( \alpha +\beta + \gamma \right )$

Classify the following as scalar and vector quantities. $ $distance.

Find the local maximum and minimum values of the following: $2x^{3}+5x^{2}-4x $

Which of the following function are increasing or decreasing on the interval given? \[\]$2x^{2}+3x$ on $[-\large\frac{1}{2} ,\frac{1}{2}]$

The distince $x$ meters traveled by a vehical in time $t$ seconds after the brakes are applied is given by:$\;x=20 t-\large\frac{5}{3}$$t^{2}$. Determine the distance the car travelled before it stops.

Evaluate: $\int\limits_{0}^{\large\frac{\pi}{6}}\sin^{7}3x dx$

Using chain rule find $\large\frac{dw}{dt}$ for each of the following :$w=\log(x^{2}+y^{2})$ where $x=e^{t},y=e^{-t}$

Use differentials to find an approximate value for the given numbers $\large\frac{1}{10.1}$

$20\%$ of the bolts produced in a factory are found to be defective. Find the probability that in a sample of $10$ bolts chosen at random exactly $2$ will be defective using ,Poisson distribution.$ [e^{-2}=0.1353].$

Find the differential equation of family of straight lines $y=mx+\large\frac{a}{m}$ When $a$ is the parameter.

Find the angle between the asymptotes of hyperbola $9(x-2)^{2}-4(y+3)^{2}=36$

Find the equation of the tangent to the parabola $y^{2}=16x,$ perpendicular to the line $3x-y+8=0$

Find the equations of directrices ,latus rectums and length of latus rectum of the following hyperbolas:$9x^{2}-4y^{2}-36x+32y+8=0$

If $ cos \;\alpha + cos \;\beta + cos \;\gamma = 0 = sin \;\alpha + sin \;\beta + sin \; \gamma $, prove that $ sin \;3\alpha \; + \;sin \;3\beta + sin \;3\gamma = 3 sin\left ( \alpha\; + \;\beta\; + \;\gamma \;\right )\Large$

Find $ gof$ and $fog$, if $f(x) = 8x^3$ and $g(x)=x^\frac{1}{3}$

Find \( gof\) and \(fog\), if (ii) \( f(x) = 8x^3\) and \( g(x) = x ^ \frac { 1} {3} \)

If $ A' = \begin{bmatrix} 3 & 4 \\ -1 & 2 \\ 0 & 1 \end{bmatrix} \text{ and } B = \begin{bmatrix} -1 & 2 &1 \\ 1 & 2 & 3 \end{bmatrix}$, then verify that $ (ii) ( A - B )' = A' - B' $

Construct $a_{2\times 2}$ matrix where $a_{ij} =|2i+3j|$

Compute the indicated products: $(ii)\;\begin{bmatrix}1\\2\\3\end{bmatrix}\begin{bmatrix}2 & 3 & 4\end{bmatrix} $

Examine the following functions for continuity. $f(x) = \frac {1} { x - 5}, x \: \neq \: 5 $