Recent questions tagged q1-2

Write the negation of "All cats scratch."

asked Aug 4, 2014 by rvidyagovindarajan_1

1 answer

Show that the statement " If $x$ is real number such that $x^3+4x=0$, then $x$ is 0." is true using contradiction method.

asked Jul 26, 2014 by rvidyagovindarajan_1

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Identify the connecting word and and write the components of the statement "Square of an integer is positive or negative."

asked Jul 16, 2014 by rvidyagovindarajan_1

1 answer

Write the negation of "$\sqrt 2$ is not a complex number."

asked Jul 14, 2014 by rvidyagovindarajan_1

1 answer

Mathematics is difficult. Is this a statement? Give reason

asked Jul 3, 2014 by rvidyagovindarajan_1

1 answer

Find the coordinates of the point which divides the line segment joining the points $(-2,3,5)$ and $(1,-4,6)$ in the ratio $2:3$ externally.

asked May 5, 2014 by rvidyagovindarajan_1

1 answer

Find the distance between the points $(-3,7,2)$ and $(2,4,-1)$

asked Apr 16, 2014 by rvidyagovindarajan_1

1 answer

Use the truth table to establish which of the following statements are tautologies and which are contradictions.

asked Sep 13, 2013 by sreemathi.v

1 answer

Find the area under the given curves and given lines: $ (ii)\:y = x^4, x = 1, x = 5 \: and\: x - axis$

asked Aug 16, 2013 by sreemathi.v

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Find the maximum and minimum values, if any, of the following functions given by?$f(x)=9x^2+12x+2$

asked Aug 6, 2013 by sreemathi.v

1 answer

Using differentials, find the approximate value of each of the following up to 3 places of decimal. $(ii)\;\sqrt{49.5}$

asked Aug 5, 2013 by sreemathi.v

1 answer

For each of the differential equations given below,indicate its order and degree(if defined) $(ii)\;\big(\large\frac{dy}{dx}\big)^3-4\big(\large\frac{dy}{dx}\big)^2+7y=\sin x$

asked Jul 29, 2013 by sreemathi.v

1 answer

Find all the value of the following : $(8i)^{\large\frac{1}{3}}$

asked Jun 12, 2013 by sreemathi.v

1 answer

Compute the magnitude of the following vectors: $(ii)\; \overrightarrow b = 2\hat i - 7 \hat j - 3\hat k $

asked May 16, 2013 by sreemathi.v

1 answer

Evaluate the limit for the following if exists. $\;\lim\limits_{x \to 0} \large\frac{\tan x-x}{x- \sin x}$

asked May 6, 2013 by poojasapani_1

1 answer

Find the intervals of concavity and the points of inflection of the following functions: $f(x)=x^{2}-x$

asked May 6, 2013 by poojasapani_1

1 answer

Find the critical numbers and stationary points of each of the following functions.$\;f(x)=x^{3}-3x+1$

asked May 5, 2013 by poojasapani_1

1 answer

Prove the following inequalities: $\sin x> x-\large\frac{x^{3}}{6}, $$x>0$

asked May 4, 2013 by poojasapani_1

1 answer

Obtain the Maclaurin's series expansion for:$\;\cos^{2}x$

asked May 4, 2013 by poojasapani_1

1 answer

Verify Lagranges theorem for the following function;$f(x)=\large\frac{1}{x}$$\quad[1,2]$

asked May 3, 2013 by poojasapani_1

1 answer

Verify Rolle's theorem for the following function; $f(x)=x^{2}, 0\leq x\leq 1$

asked May 3, 2013 by poojasapani_1

1 answer

Find the equation of the tangent and normal to the curves.$\;y=x-\sin x\cos x, $at$\;x=\large\frac{\pi}{2}$

asked May 1, 2013 by poojasapani_1

1 answer

A missile fired from ground level rises $x$ metres vertically upwards in $t$ seconds and $x=100t-\large\frac{25}{2}t^{2}$ find the time when the height of the missile is a maximum

asked Apr 30, 2013 by poojasapani_1

1 answer

Find the area of the region bounded by the lines $x-y=1 $ and $x$-axis,$x=-2$ and $x=0$

asked Apr 27, 2013 by poojasapani_1

1 answer

Evaluate: $\int\limits\cos^{5} x dx$

asked Apr 27, 2013 by poojasapani_1

1 answer

Verify $\large\frac{\partial ^{2} y}{\partial x\partial y}=\frac{\partial ^{2} y}{\partial y\partial x}$ for the following function;$\;u=\large\frac{x}{y^{2}}-\frac{y}{x^{2}}$

asked Apr 25, 2013 by poojasapani_1

1 answer

Find the differential of the functions.$y$=$4\sqrt{x}$

asked Apr 24, 2013 by poojasapani_1

1 answer

If $X$ a normal variate with mean $80$ and standard deviation $10$ compute the following probabilities by standardizing.$P(X\leq$80$)$

asked Apr 22, 2013 by poojasapani_1

1 answer

Let $x$ have a poisson distribution with mean $4$.Find$P(2\leq$X$<$5$)[e^{-4}=0.0183].$

asked Apr 21, 2013 by poojasapani_1

1 answer

The directrix of a conic section is $3x+4y=1$ and focus is (2,3).Find the equation of the conic section if its eccentricity is $\large\frac{1}{\sqrt 2}$

asked Apr 18, 2013 by sreemathi.v

0 answers

A straight line $y=mx$ passes through the intersection of the straight lines $x+2y-1=0$ and $2x-y+3=0.$Find the value of m.

asked Apr 17, 2013 by sreemathi.v

1 answer

A straight line is parallel to the x-axis and passes through the intersection of the lines $x+2y+1=0$ and $y=x+7$.Find the equation of the straight line.

asked Apr 16, 2013 by sreemathi.v

1 answer

Find the equation of the line passing through the intersection of the straight lines $2x+3y=1$ and $3x+4y=6$ and perpendicular to the line $5x-2y=7$.

asked Apr 16, 2013 by sreemathi.v

0 answers

Find the equation of the straight line through origin and passing through the intersection of lines $x-2y+3=0$ and $3x+5y+6=0$.

asked Apr 15, 2013 by sreemathi.v

0 answers

Find the order and degree of the following differential equation: $y'+y^{2}$=$x$

asked Apr 14, 2013 by poojasapani_1

1 answer

Find the equation of the asmptotes to the hyperbola $ 8x^{2}+10xy-3y^{2}-2x+4y-2=0$

asked Apr 13, 2013 by poojasapani_1

1 answer

The lines $x-2y+6=0$ and $2x-y-10=0$ intersect at the point A.Find the equation of the line making an angle $45^{\circ}$ with the positive direction of the x-axis and passing through the point A.

asked Apr 12, 2013 by sreemathi.v

0 answers

Solve : $Cos^{-1}[\sin(\cos^{-1}X)]=\large\frac{\pi}{3}$

asked Apr 11, 2013 by sreemathi.v

0 answers

Find the equation of the tangent and normal to the parabola $x^{2}=9y$ at $(3 , 1 )$

asked Apr 11, 2013 by poojasapani_1

1 answer

Find the equation of the hyperbola if centre: $(0 , 0 )$ length of the semi-transverse axis is $5; e=\large\frac{7}{5}$ and the conjugate axis is along x-axis.

asked Apr 11, 2013 by poojasapani_1

1 answer

Find the values of k,if the equation $8x^2-16xy+ky^2-22x+34y=12$ represents an ellipse.

asked Apr 11, 2013 by sreemathi.v

0 answers

Find the equation of the ellipse if the foci are $(2 , -1 ) , (0 , -1 )$ and $e=\large\frac{1}{2}$

asked Apr 10, 2013 by poojasapani_1

1 answer

Prove that $sec^2(tan^{-1}2)+cosec^2(cot ^{-1}3)=15.$

asked Apr 10, 2013 by sreemathi.v

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Find the equation of parabola if : Focus: $(-1 , 3 )$; directrix $ 2x+3y=3$.

asked Apr 9, 2013 by poojasapani_1

1 answer

Find the angle between following planes; $2x-3y+4z=1$ and $-x+y=4$

asked Apr 8, 2013 by poojasapani_1

1 answer

Find the shortest distance between the parallel lines $\large\frac{x-1}{-1}=\frac{y}{3}=\frac{z+3}{2} $ and $\large\frac{x-3}{-1}=\frac{y+1}{3}=\frac{z-1}{2} $

asked Apr 7, 2013 by poojasapani_1

1 answer

Is the function $f (x) = 5x – 3$ continuous at $x=-3$

asked Apr 4, 2013 by balaji.thirumalai

1 answer

Express the following in the standard form $a+ib$: $\large\frac{\left ( 1+i \right )\left ( 1-2i \right )}{1+3i}$

asked Apr 1, 2013 by geethradh

1 answer

Examine the consistency of the following system of equation. If it is consistent than solve the same. $x-3y-8z=-10\;,3x+y-4z=0\;,2x+5y+6z-13=0 $

asked Mar 30, 2013 by poojasapani_1

1 answer

If a matrix has 13 elements.What are the possible orders it can have? (Note: This question has been split into 2 questions)

asked Mar 19, 2013 by sreemathi.v

1 answer

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