Recent questions tagged sec5

Five cards are drawn successively with replacement from a well-shuffled deck of 52 cards. What is the probability that (i) all the five cards are spades? (ii) only 3 cards are spades? (iii) none is a spade?

asked Mar 20, 2014 by balaji.thirumalai

1 answer

Find the maximum value of $2x^3 – 24x + 107$ in the interval $[-3,-1]$

asked Aug 19, 2013 by sreemathi.v

1 answer

Find the absolute maximum value and the absolute minimum value of the following functions in the given intervals: $(iv)\: f (x) = (x-1)^2+3, x \in [– 3, 1] $

asked Aug 7, 2013 by sreemathi.v

1 answer

Find the absolute maximum value and the absolute minimum value of the following functions in the given intervals: $(iii)\: f (x) =4x-\large\frac{x^2}{2}$$, x \in [– 2, \large\frac{9}{2}] $

asked Aug 7, 2013 by sreemathi.v

1 answer

Find the absolute maximum value and the absolute minimum value of the following functions in the given intervals: $ f (x) = \sin x+\cos x, x \in [0,\pi] $

asked Aug 7, 2013 by sreemathi.v

1 answer

Prove that the following functions do not have maxima or minima: $ (iii)\: h (x) =x^3+x^2+x+1 $

asked Aug 7, 2013 by sreemathi.v

1 answer

Prove that the following functions do not have maxima or minima: $ (ii)\: g(x)=\log x $

asked Aug 7, 2013 by sreemathi.v

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: $ (viii)\: f (x) = x\sqrt{1-x}$$,x>0$

asked Aug 7, 2013 by sreemathi.v

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: $ (vii)\: f (x) = \large\frac{1}{x^2+2}$

asked Aug 7, 2013 by sreemathi.v

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: $ f (x) =\large\frac{x}{2}$$+\large\frac{2}{x}$$,x>0$

asked Aug 7, 2013 by sreemathi.v

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: $ f (x) =x^3-6x^2+9x+15$

asked Aug 7, 2013 by sreemathi.v

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: $ f (x) =\sin x-\cos x,0 < x <2\pi$

asked Aug 7, 2013 by sreemathi.v

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: $ (iii)\: h(x)=\sin x+\cos x$

asked Aug 6, 2013 by sreemathi.v

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

Find the maximum and minimum values, if any, of the following functions given by $ (v) \: h (x) =x+1,x\in (-1,1)$

asked Aug 6, 2013 by sreemathi.v

1 answer

Find the maximum and minimum values, if any, of the following functions given by $ (iv) \: f (x) =\mid\sin 4x+3\mid$

asked Aug 6, 2013 by sreemathi.v

1 answer

Find the maximum and minimum values, if any, of the following functions given by $ (iii) \: h(x) = \sin (2x)+5$

asked Aug 6, 2013 by sreemathi.v

1 answer

Find the maximum and minimum values, if any, of the following functions given by $ f (x) = -\mid x+1\mid+3$

asked Aug 6, 2013 by sreemathi.v

1 answer

Find the maximum and minimum values, if any, of the following functions given by?$(iv)\;f(x)=x^3+1$

asked Aug 6, 2013 by sreemathi.v

1 answer

Find the maximum and minimum values, if any, of the following functions given by?$f(x)=-(x-1)^2+10$

asked Aug 6, 2013 by sreemathi.v

1 answer

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

Suppose X has a binomial distribution $ B\; \large($$6, \large\frac{1}{2})$. What is the most likely outcome and for what value of X, where x = 0, 1, 2, 3, 4, 5, 6?

asked Jun 21, 2013 by balaji.thirumalai

1 answer

\[ \text{For the matrix A = } \begin{bmatrix} 2&-1&1 \\ -1& 2&- 1 \\ 1 &-1& 2 \end{bmatrix} \] \[ \text{Show that } A^{3} - 6A^{2} + 9A - 4I = O. \text{ Hence, find } A^{-1}\]

asked Feb 26, 2013 by sreemathi.v

1 answer

For the matrix $ A= \begin{bmatrix} 1 & 1 & 1 \\ 1 & 2 & -3 \\ 2 & -1 & 3 \end{bmatrix} $, show that $ A^3-6A^2+5A+11I=0.$ Hence, find $A^{-1}.$

asked Jan 27, 2013 by thanvigandhi_1

0 answers

For the differential equations, find the particular solution satisfying the given condition: \[ \bigg[ x \: sin^2 \bigg( \frac{x}{y} - y \bigg) \bigg] dx + xdy = 0; y \frac{\large \pi}{\large 4} when \: x = 1\]

asked Dec 12, 2012 by thanvigandhi_1

1 answer