Recent questions tagged exercise6-1

A man wants to cut three length from a single piece of board of length 91 cm . The second length is to be 3 cm longer than the shortest , and third length is to be twice as long as shortest. What are the possible lengths of the shortest board, if the third piece is to be at least 5 cm longer than the second.

asked Jul 28, 2014 by meena.p

1 answer

The longest side of a triangle is three times the shortest side and third side is $2\;cm$ shortest than the longest side. If the perimeter of the triangle is at least $61\; cm$ find the minimum length of the shortest side.

asked Jul 28, 2014 by meena.p

1 answer

Find all pair of consecutive even positive integers, both of the which are larger than 5 such that their sum is less than 23.

asked Jul 28, 2014 by meena.p

1 answer

Find all pairs of consecutive odd positive integers both of which are smaller than 10 such that their sum is more than 11.

asked Jul 28, 2014 by meena.p

1 answer

To receive Grade $'A'$ in a course, one must obtain an average of $90$ marks or more in fine. examination (each of $100$ marks ) . If sunita's mark in first four examinations are $87,92,94 $ and $95$ find the minimum marks that sunita must obtains in the fifth examination to get grade $'A'$ in the corse

asked Jul 28, 2014 by meena.p

1 answer

Ravi obtained 70 and 75 marks in first two unit tests. Find the minimum marks he should get in third test to have an average of at least 60 marks.

asked Jul 28, 2014 by meena.p

1 answer

Solve the given inequality and show the graph of the solution on number line: $ \large\frac{x}{2} <\frac{(5x-2)}{3} - \frac{(7x-3)}{5}$

asked Jul 28, 2014 by meena.p

1 answer

Solve the given inequality and show the graph of the solution on number line: $ 3(1-x) <2 (x +4)$

asked Jul 28, 2014 by meena.p

1 answer

Solve the given inequality and show the graph of the solution on number line: $ 5x-3 < 3x -5$

asked Jul 28, 2014 by meena.p

1 answer

Solve the given inequality and show the graph of the solution on number line: $ 3x-2 <2 x +1$

asked Jul 26, 2014 by meena.p

1 answer

Solve the inequality for real $x: \large\frac{(2x-1)}{3} \geq \frac{(3x-2)}{4} -\frac{(2-x)}{5}$

asked Jul 26, 2014 by meena.p

1 answer

Solve the inequality for real $x: \large\frac{x}{4} < \frac{(5x-2)}{3} - \frac{(7x-3)}{5}$

asked Jul 26, 2014 by meena.p

1 answer

Solve the given inequalities for real $x: 37 -(3x+5) \geq 9x -8 (x-3)$

asked Jul 25, 2014 by meena.p

1 answer

Solve the inequality for real $x: 2(2x+3) -10 < 6(x-2)$

asked Jul 25, 2014 by meena.p

1 answer

Solve the inequality for real $x: \large\frac{1}{2} \bigg(\large\frac{3x}{5} +4 \bigg) $$ \geq \large\frac{1}{3} $$(x-6)$

asked Jul 25, 2014 by meena.p

1 answer

Solve the given inequality for real $x: \large\frac{3(x-2)}{5} \leq \large\frac{5(2-x)} {3}$

asked Jul 25, 2014 by meena.p

1 answer

Solve the inequality for real $x, \large\frac{x}{3} > \frac{x}{2} $$+1$

asked Jul 25, 2014 by meena.p

1 answer

Solve the given inequality for real $x. x +\large\frac{x}{2} +\frac{x}{3} $$ <11$

asked Jul 25, 2014 by meena.p

1 answer

Solve the inequality for real $x, 3(2-x) \geq 2(1-x) $

asked Jul 25, 2014 by meena.p

1 answer

Solve the inequality for real $x 3(x-1) \leq 2(x-3)$

asked Jul 25, 2014 by meena.p

1 answer

Solve the inequality for real $x: 3x-7 > 4x -5$

asked Jul 25, 2014 by meena.p

1 answer

Solve the given inequality for real $x: 4x+3 < 5x +7$

asked Jul 25, 2014 by meena.p

1 answer

Solve $3 x+8 > 2$ when (i) x is an integer (ii) x is a real number

asked Jul 25, 2014 by meena.p

1 answer

Solve $5 x-3 < 7 $ when (i) x is an integer (ii) x is a real number

asked Jul 25, 2014 by meena.p

1 answer

Solve $-12 x > 30$ when (i) x is a natural number (ii) x is an integer

asked Jul 25, 2014 by meena.p

1 answer

Solve $24 x < 100$ when (i) x is a natural number (ii) x is an integer

asked Jul 25, 2014 by meena.p

1 answer

Using Euler's theorem prove the following: if$\;V=x^{ax+by}$ and $\;z$ is a homogenous function of degree $\;n$ in $\;x$ and $\;y$ prove that $\;x=\large\frac{\partial v}{\partial x}$+$y\large\frac{\partial v}{\partial y}$=$(ax+by+n)V.$

asked Apr 26, 2013 by poojasapani_1

0 answers

Using Euler's theorem prove the following: if $u$ is a homogenous function of $x$ and $y$ of degree$\;n$, prove that$\;x\large\frac{\partial^{2} u}{\partial x^{2}}$+$y\large\frac{\partial^{2}u}{\partial x\partial y}$=$(n-1)\large\frac{\partial u}{\partial x}$

asked Apr 26, 2013 by poojasapani_1

0 answers