Recent questions tagged q3

Which of the following function are increasing or decreasing on the interval given? \[\]$x(x-1)(x+1) $ on $[-2 , 1 ]$

asked May 4, 2013 by poojasapani_1

1 answer

Which of the following function are increasing or decreasing on the interval given? \[\]$e^{-x} $ on $[0 , 1 ]$

asked May 4, 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

Which of the following function are increasing or decreasing on the interval given? $x^{2}-1 $on$[0 , 1]$

asked May 4, 2013 by poojasapani_1

1 answer

At $2.00$ pm a car's speedometer reads $30$ miles/hr, at $2.10$ pm it reads $50$ miles/hr. Show that sometime between $2.00$ and $2.10$ the acceleration is exactly $120$ miles/hr$^{2}$.

asked May 4, 2013 by poojasapani_1

1 answer

Find at what points on the circle $x^{2}+y^{2}=13$, the tangent is parallel to the line $2x+3y=7$.

asked May 3, 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

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 speed of the vehicle (in km/hr) at the instant the brakes are applied

asked Apr 30, 2013 by poojasapani_1

1 answer

Find the surface area of the solid generated by revolving the arc of the parabola$\;y^{2}=4ax$, bounded by its latus rectum about $x$- axis.

asked Apr 30, 2013 by poojasapani_1

1 answer

Find the area of the region bounded by the lines $y=x-5 $ and $x$-axis between the ordinates $x=3$ and $x=7$

asked Apr 27, 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

Evaluate: $\int\limits_{0}^{\large\frac{\pi}{4}}\cos^{8}2x dx$

asked Apr 27, 2013 by poojasapani_1

1 answer

Evaluate the following problems using properties of integration: $\int\limits_{0}^{\large\frac{\pi}{2}}\sin^{3}x\cos xdx$

asked Apr 27, 2013 by poojasapani_1

1 answer

Evaluate the following problems using second fundamental theorem: $\int\limits_{0}^{1}\sqrt{9-4x^{2}}dx$

asked Apr 26, 2013 by poojasapani_1

1 answer

Using chain rule find $ \large\frac{dw}{dt}$ for each of the following$\;w=xy+z$ where $x=\cos t,y=\sin t $

asked Apr 25, 2013 by poojasapani_1

1 answer

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

asked Apr 25, 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

Using chain rule find $\large\frac{dw}{dt}$ for each of the following : $w=e^{xy}$ Where $x=t^{2},y=t^{3}$

asked Apr 25, 2013 by poojasapani_1

1 answer

Use differentials to find an approximate value for the given numbers $(1.97)^{6}$

asked Apr 24, 2013 by poojasapani_1

1 answer

Use differentials to find an approximate value for the given numbers\[\]$y=3\sqrt{1.02}+4\sqrt{1.02}$

asked Apr 24, 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

Use differentials to find an approximate value for the given numbers $\sqrt{36.1}$

asked Apr 24, 2013 by poojasapani_1

1 answer

Trace the curve : $y^{2}(2+x)=x^{2}(6-x)$

asked Apr 24, 2013 by poojasapani_1

1 answer

Suppose that the amount of cosmic radiation to which a person is exposed when flying by jet across the united states is a random variable having a normal distribution with a mean of $4.35 m$ rem and standard deviation of $0.59m$ rem. What is the probability that a person will be exposed to than $5.20m$ rem of cosmic radiation of such flight.

asked Apr 22, 2013 by poojasapani_1

1 answer

Using matrices,solve the following system of equations : $x+2y=5,y+2z=8,2x+z=5$.

asked Apr 22, 2013 by sreemathi.v

2 answers

Using properties of determinants,find the value of the following determinant : $\begin{vmatrix}x^3 & x^2 & x\\y^3 & y^2 & y\\z^3 & z^2 & z\end{vmatrix}$.

asked Apr 22, 2013 by sreemathi.v

0 answers

$20\%$ 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

$20\%$ 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 ,Binomial distribution.

asked Apr 21, 2013 by poojasapani_1

1 answer

If on an average $1$ ship out of $10$ do not arrive safely to ports. Find the mean and the standard deviation of ship returning safely out of a total of $500$ ships

asked Apr 20, 2013 by poojasapani_1

1 answer

In an entrance examination a student has to answer all the $120$ questions. Each question has four options and only one option is correct. A student gets $1$ mark for a correct answer and loses half mark for a wrong answer. What is the expectation of the mark scored by a student if he chooses the answer to each question at random?

asked Apr 20, 2013 by poojasapani_1

1 answer

Find the equation of a pair of straight lines represented by $8x^2+8xy+2y^2+26x+13y+5=0$ and show that the angle between them is $0^{\circ}$.

asked Apr 18, 2013 by sreemathi.v

0 answers

If $A=\begin{pmatrix}3 & -4\\1 & -1\end{pmatrix}$,show by mathematical induction that for any positive integer n, $A^n=\begin{pmatrix}1+2n&-4n\\n &1-2n\end{pmatrix}$

asked Apr 18, 2013 by sreemathi.v

0 answers

Find the angle and the equation of the bisectors of the angle between the pair of lines given by $2x^2-7xy+3y^2=0$.

asked Apr 17, 2013 by sreemathi.v

0 answers

The equation $2x^2-3xy-py^2+x+qy=0$ represents two perpendicular lines.Find the values of $p$ and $q$.

asked Apr 17, 2013 by sreemathi.v

0 answers

A cup of coffee at temperature $100^{\circ}$$C$ is placed in a room whose temperature is $15^ {\circ}$$C$ and it cools to $60^{\circ}$$C$ in $5$ minutes . Find its temperature after a further interval of $5$ minutes.

asked Apr 17, 2013 by poojasapani_1

1 answer

Find the equation of the bisectors of the angle between the pair of lines given by $(4ax+3by)^2=3(3bx-4ay)^2$

asked Apr 16, 2013 by sreemathi.v

0 answers

Show that the equation $x^2-3xy+2y^2+3x-5y+2=0$ represents two straight lines.Find the angle between them.

asked Apr 16, 2013 by sreemathi.v

0 answers

Solve the following differential equation;$(D^{2}+14D+49)$y$=e^{-7x}+4$

asked Apr 16, 2013 by poojasapani_1

1 answer

Solve the following.$ \large\frac{dx}{dy}=\frac{x}{1+y^2}=\frac{\tan^{-1}}{1+y^2}$

asked Apr 16, 2013 by poojasapani_1

1 answer

Show that the bisectors of the angles between the pair of straight lines $11x^2-16xy-y^2=0$ are parallel and perpendicular to $x+2y+5=0.$

asked Apr 16, 2013 by sreemathi.v

0 answers